AR-quiver approach to affine canonical basis elements

Yiqiang Li; Zongzhu Lin

doi:10.1016/j.jalgebra.2007.09.023

AR-quiver approach to affine canonical basis elements

Yiqiang Li
, Zongzhu Lin

Mathematics

Kansas State University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This is the continuation of [Y. Li, Affine quivers of type over(A, ̃)_n and canonical bases, math.QA/0501175]. We describe the affine canonical basis elements in the case when the affine quiver has arbitrary orientation. This generalizes the description in [G. Lusztig, Affine quivers and canonical bases, Publ. Math. Inst. Hautes Études Sci. 76 (1992) 111-163].

Original language	English
Pages (from-to)	562-588
Number of pages	27
Journal	Journal of Algebra
Volume	318
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2007.09.023
State	Published - Dec 15 2007

Keywords

Affine canonical basis
Perverse sheaves
Representation theory of affine quivers

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10.1016/j.jalgebra.2007.09.023

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abstract = "This is the continuation of [Y. Li, Affine quivers of type over(A,{\~ })n and canonical bases, math.QA/0501175]. We describe the affine canonical basis elements in the case when the affine quiver has arbitrary orientation. This generalizes the description in [G. Lusztig, Affine quivers and canonical bases, Publ. Math. Inst. Hautes {\'E}tudes Sci. 76 (1992) 111-163].",

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N2 - This is the continuation of [Y. Li, Affine quivers of type over(A, ̃)n and canonical bases, math.QA/0501175]. We describe the affine canonical basis elements in the case when the affine quiver has arbitrary orientation. This generalizes the description in [G. Lusztig, Affine quivers and canonical bases, Publ. Math. Inst. Hautes Études Sci. 76 (1992) 111-163].

AB - This is the continuation of [Y. Li, Affine quivers of type over(A, ̃)n and canonical bases, math.QA/0501175]. We describe the affine canonical basis elements in the case when the affine quiver has arbitrary orientation. This generalizes the description in [G. Lusztig, Affine quivers and canonical bases, Publ. Math. Inst. Hautes Études Sci. 76 (1992) 111-163].

KW - Affine canonical basis

KW - Perverse sheaves

KW - Representation theory of affine quivers

UR - https://www.scopus.com/pages/publications/36048941043

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DO - 10.1016/j.jalgebra.2007.09.023

M3 - Article

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VL - 318

SP - 562

EP - 588

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

AR-quiver approach to affine canonical basis elements

Abstract

Keywords

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