NSTL国家科技图书文献中心

1. Categories over quantum affine algebras and monoidal categorification SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Kashiwara, Masaki | Kim, Myungho ... - 《Proceedings of the Japan Academy, Series A. Mathematical Sciences》 - 2021,97A(7) - 39～44 - 共6页 - 被引量：3

摘要： of the cluster* algebra K(C-g([a,b])), whose set of* | Let U-q'(g) be a quantum affine algebra of | -Leclerc category* of finite-dimensional U-q'(g)-modules* | introduce subcategories C-g([a,b]) of C-g(0) for all a | <= b is an element of Z (sic) {+/-infinity

关键词： Monoidal categorification | quantum affine algebra | cluster algebra | Kirillov-Reshetikhin module | T-system

2. Higher Nakayama algebras I: Construction NSTL国家科技图书文献中心

Jasso, Gustavo | Kulshammer, Julian ... - 《Advances in Mathematics》 - 2019,351 - 1139～1200 - 共62页 - 被引量：20

摘要：)) having a distinguished d-cluster-tilting A((d))-module | analogue of the Auslander algebra of A. We also construct | higher dimensional analogues of the mesh category* of* | type ZA(infinity) and the tubes. (C) 2019 Elsevier | We introduce higher dimensional analogues of

关键词： Auslander-Reiten theory | Auslander-Reiten quiver

3. Cotorsion pairs in cluster categories of type A(infinity)(infinity) SCIE Web of Science核心 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Chang, Huimin | Zhou, Yu ... - 《Journal of Combinatorial Theory, Series A》 - 2018,156 - 119～141 - 共23页 - 被引量：6

摘要： classification of cotorsion pairs in a cluster* category b of* | classification of torsion pairs in the cluster category of type | type A(infinity)(infinity) via certain configurations | classification of cluster* tilting categories of b and Ng's* | A(infinity). (C) 2018 Elsevier Inc. All rights

关键词： Cluster category of type A(infinity)(infinity) | (Co)torsion pair | tau-Compact Ptolemy diagram | t-Structure | Cluster tilting subcategory

4. On a cluster category of type D infinity SCIE Web of Science核心 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Yang, Yichao - 《Journal of Algebra》 - 2017,478 - 12～37 - 共26页

摘要： representations of the quiver of type* D-infinity. We prove that* | this orbit category* is a cluster category, that is | We study the canonical orbit category of the* | bounded derived category* of finite dimensional* | , its cluster-tilting subcategories form a cluster

关键词： Cluster category | Cluster-tilting subcategory | Auslander-Reiten theory

5. Cluster categories of type A(infinity)(infinity) and triangulations of the infinite strip SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Liu, Shiping | Paquette, Charles - 《Mathematische Zeitschrift》 - 2017,286(1/2) - 197～222 - 共26页 - 被引量：6

摘要：. Moreover, for a cluster category of type A(infinity | (infinity) or A(infinity)(infinity) is a cluster category | of a quiver without infinite paths of type* A* | )(infinity), we give a geometrical description of its | We call a 2-Calabi-Yau triangulated category* a*

关键词： Representations of infinite Dynkin quivers | Derived categories | 2-Calabi-Yau categories | Auslander-Reiten theory | Cluster categories | Cluster-tilting subcategories | Geometric triangulations

6. Projective Dimension of Modules over Cluster-Tilted Algebras SCIE Web of Science核心 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Louis Beaudet | Thomas Brüstle ... - 《Algebras and representation theory》 - 2014,17(6) - 1797～1807 - 共11页 - 被引量：6

摘要： algebras of type* A and D.* | ) where T is a cluster-tilting object in a cluster | infinity. We define in this article the ideal I_M of | dimension in the Auslander-Reiten quiver of cluster-tilted | We study the projective dimension of finitely

关键词： Cluster-tilted algebra | Projective dimension

7. C-vectors of 2-Calabi-Yau categories and Borel subalgebras of sl(infinity) SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

《Selecta mathematica》 - 2020,26(1) - 共46页 - 被引量：4

摘要： of mutations. We prove a categorical (infinite-rank | other in terms of dimension vectors for cluster* tilted* | correspondence between the c-vectors of the cluster* categories* | C (A8) of type* A8 due to Igusa-Todorov and the* | side, the cluster* tilting subcategories of C (A8*

关键词： 2-Calabi-Yau category | g-vector | Homological index | Cluster category of type A(infinity) | Kac-Moody algebra | Levi factor

8. On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Holm, T. | J?rgensen, P. - 《Mathematische Zeitschrift》 - 2012,270(1/2) - 277～295 - 共19页 - 被引量：33

关键词： 2-Calabi-Yau category | Cluster structure | Cluster tilting subcategory | Derived category | Differential graded algebra | Differential graded module | Fomin-Zelevinsky mutation | Quiver | Spherical object | Weak cluster tilting subcategory

9. q-Stability Conditions via q-Quadratic Differentials for Calabi-Yau-X Categories

Ikeda, Akishi | Qiu, Yu - 《memoirs of the american mathematical society》 - 2025,308(1557) - 共104页

摘要：-deformation of the topological Fukaya category* D-infinity of* | categories D-X of a graded marked surface S-lambda, as a q | identified with the cluster-X category* associated to DX* | -stability conditions for type* A.* | S-lambda. We show that D-infinity* can be*

关键词： q-stability conditions | Calabi-Yau-X categories | cluster categories | q-quadratic differentials | twisted periods | CLUSTER CATEGORIES | SURFACES | QUIVERS | ALGEBRAS | GENERATORS...

10. CLUSTER ALGEBRAS ARISING FROM INFINITY-GON

Ndoune, Ndoune - 《international electronic journal of algebra》 - 2016,19 - 145～170 - 共26页

摘要：-equivalent to the infinite cluster* category of type A* | We introduce a handy construction of cluster | algebras of type* A, we give a complete classification of* | the cluster* algebras arising from the infinity-gon* | , and finally we construct the category* of the*

摘要： of the cluster* algebra K(C-g([a,b])), whose set of* | Let U-q'(g) be a quantum affine algebra of | -Leclerc category* of finite-dimensional U-q'(g)-modules* | introduce subcategories C-g([a,b]) of C-g(0) for all a | <= b is an element of Z (sic) {+/-infinity

关键词： Monoidal categorification | quantum affine algebra | cluster algebra | Kirillov-Reshetikhin module | T-system

摘要：)) having a distinguished d-cluster-tilting A((d))-module | analogue of the Auslander algebra of A. We also construct | higher dimensional analogues of the mesh category* of* | type ZA(infinity) and the tubes. (C) 2019 Elsevier | We introduce higher dimensional analogues of

关键词： Auslander-Reiten theory | Auslander-Reiten quiver

关键词： Cluster category of type A(infinity)(infinity) | (Co)torsion pair | tau-Compact Ptolemy diagram | t-Structure | Cluster tilting subcategory

摘要： representations of the quiver of type* D-infinity. We prove that* | this orbit category* is a cluster category, that is | We study the canonical orbit category of the* | bounded derived category* of finite dimensional* | , its cluster-tilting subcategories form a cluster

关键词： Cluster category | Cluster-tilting subcategory | Auslander-Reiten theory

摘要：. Moreover, for a cluster category of type A(infinity | (infinity) or A(infinity)(infinity) is a cluster category | of a quiver without infinite paths of type* A* | )(infinity), we give a geometrical description of its | We call a 2-Calabi-Yau triangulated category* a*

关键词： Representations of infinite Dynkin quivers | Derived categories | 2-Calabi-Yau categories | Auslander-Reiten theory | Cluster categories | Cluster-tilting subcategories | Geometric triangulations

摘要： algebras of type* A and D.* | ) where T is a cluster-tilting object in a cluster | infinity. We define in this article the ideal I_M of | dimension in the Auslander-Reiten quiver of cluster-tilted | We study the projective dimension of finitely

关键词： Cluster-tilted algebra | Projective dimension

摘要： of mutations. We prove a categorical (infinite-rank | other in terms of dimension vectors for cluster* tilted* | correspondence between the c-vectors of the cluster* categories* | C (A8) of type* A8 due to Igusa-Todorov and the* | side, the cluster* tilting subcategories of C (A8*

关键词： 2-Calabi-Yau category | g-vector | Homological index | Cluster category of type A(infinity) | Kac-Moody algebra | Levi factor

关键词： 2-Calabi-Yau category | Cluster structure | Cluster tilting subcategory | Derived category | Differential graded algebra | Differential graded module | Fomin-Zelevinsky mutation | Quiver | Spherical object | Weak cluster tilting subcategory

摘要：-deformation of the topological Fukaya category* D-infinity of* | categories D-X of a graded marked surface S-lambda, as a q | identified with the cluster-X category* associated to DX* | -stability conditions for type* A.* | S-lambda. We show that D-infinity* can be*

关键词： q-stability conditions | Calabi-Yau-X categories | cluster categories | q-quadratic differentials | twisted periods | CLUSTER CATEGORIES | SURFACES | QUIVERS | ALGEBRAS | GENERATORS...

摘要：-equivalent to the infinite cluster* category of type A* | We introduce a handy construction of cluster | algebras of type* A, we give a complete classification of* | the cluster* algebras arising from the infinity-gon* | , and finally we construct the category* of the*

关键词： Cluster algebras | infinity-gon | infinite cluster category

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： of the cluster algebra K(C-g([a,b])), whose set of | Let U-q'(g) be a quantum affine algebra of | -Leclerc category of finite-dimensional U-q'(g)-modules | introduce subcategories C-g([a,b]) of C-g(0) for all a | <= b is an element of Z (sic) {+/-infinity

关键词： Monoidal categorification | quantum affine algebra | cluster algebra | Kirillov-Reshetikhin module | T-system

摘要：)) having a distinguished d-cluster-tilting A((d))-module | analogue of the Auslander algebra of A. We also construct | higher dimensional analogues of the mesh category of | type ZA(infinity) and the tubes. (C) 2019 Elsevier | We introduce higher dimensional analogues of

关键词： Auslander-Reiten theory | Auslander-Reiten quiver

关键词： Cluster category of type A(infinity)(infinity) | (Co)torsion pair | tau-Compact Ptolemy diagram | t-Structure | Cluster tilting subcategory

摘要： representations of the quiver of type D-infinity. We prove that | this orbit category is a cluster category, that is | We study the canonical orbit category of the | bounded derived category of finite dimensional | , its cluster-tilting subcategories form a cluster

关键词： Cluster category | Cluster-tilting subcategory | Auslander-Reiten theory

摘要：. Moreover, for a cluster category of type A(infinity | (infinity) or A(infinity)(infinity) is a cluster category | of a quiver without infinite paths of type A | )(infinity), we give a geometrical description of its | We call a 2-Calabi-Yau triangulated category a

关键词： Representations of infinite Dynkin quivers | Derived categories | 2-Calabi-Yau categories | Auslander-Reiten theory | Cluster categories | Cluster-tilting subcategories | Geometric triangulations

摘要： algebras of type A and D. | ) where T is a cluster-tilting object in a cluster | infinity. We define in this article the ideal I_M of | dimension in the Auslander-Reiten quiver of cluster-tilted | We study the projective dimension of finitely

关键词： Cluster-tilted algebra | Projective dimension

摘要： of mutations. We prove a categorical (infinite-rank | other in terms of dimension vectors for cluster tilted | correspondence between the c-vectors of the cluster categories | C (A8) of type A8 due to Igusa-Todorov and the | side, the cluster tilting subcategories of C (A8

关键词： 2-Calabi-Yau category | g-vector | Homological index | Cluster category of type A(infinity) | Kac-Moody algebra | Levi factor

关键词： 2-Calabi-Yau category | Cluster structure | Cluster tilting subcategory | Derived category | Differential graded algebra | Differential graded module | Fomin-Zelevinsky mutation | Quiver | Spherical object | Weak cluster tilting subcategory

摘要：-deformation of the topological Fukaya category D-infinity of | categories D-X of a graded marked surface S-lambda, as a q | identified with the cluster-X category associated to DX | -stability conditions for type A. | S-lambda. We show that D-infinity can be

关键词： q-stability conditions | Calabi-Yau-X categories | cluster categories | q-quadratic differentials | twisted periods | CLUSTER CATEGORIES | SURFACES | QUIVERS | ALGEBRAS | GENERATORS...

摘要：-equivalent to the infinite cluster category of type A | We introduce a handy construction of cluster | algebras of type A, we give a complete classification of | the cluster algebras arising from the infinity-gon | , and finally we construct the category of the

关键词： Cluster algebras | infinity-gon | infinite cluster category

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： of the cluster* algebra K(C-g([a,b])), whose set of* | Let U-q'(g) be a quantum affine algebra of | -Leclerc category* of finite-dimensional U-q'(g)-modules* | introduce subcategories C-g([a,b]) of C-g(0) for all a | <= b is an element of Z (sic) {+/-infinity

摘要：)) having a distinguished d-cluster-tilting A((d))-module | analogue of the Auslander algebra of A. We also construct | higher dimensional analogues of the mesh category* of* | type ZA(infinity) and the tubes. (C) 2019 Elsevier | We introduce higher dimensional analogues of

摘要： representations of the quiver of type* D-infinity. We prove that* | this orbit category* is a cluster category, that is | We study the canonical orbit category of the* | bounded derived category* of finite dimensional* | , its cluster-tilting subcategories form a cluster

摘要：. Moreover, for a cluster category of type A(infinity | (infinity) or A(infinity)(infinity) is a cluster category | of a quiver without infinite paths of type* A* | )(infinity), we give a geometrical description of its | We call a 2-Calabi-Yau triangulated category* a*

摘要： algebras of type* A and D.* | ) where T is a cluster-tilting object in a cluster | infinity. We define in this article the ideal I_M of | dimension in the Auslander-Reiten quiver of cluster-tilted | We study the projective dimension of finitely

摘要： of mutations. We prove a categorical (infinite-rank | other in terms of dimension vectors for cluster* tilted* | correspondence between the c-vectors of the cluster* categories* | C (A8) of type* A8 due to Igusa-Todorov and the* | side, the cluster* tilting subcategories of C (A8*

摘要：-deformation of the topological Fukaya category* D-infinity of* | categories D-X of a graded marked surface S-lambda, as a q | identified with the cluster-X category* associated to DX* | -stability conditions for type* A.* | S-lambda. We show that D-infinity* can be*

摘要：-equivalent to the infinite cluster* category of type A* | We introduce a handy construction of cluster | algebras of type* A, we give a complete classification of* | the cluster* algebras arising from the infinity-gon* | , and finally we construct the category* of the*