Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration-Reference-Cited by-同舟云学术

Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration

Published:2012-04-30 Issue:7 Volume:16 Page:212-269
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Shan Peng

Abstract

We prove that certain parabolic Kazhdan-Lusztig polynomials calculate the graded decomposition matrices ofvv-Schur algebras given by the Jantzen filtration of Weyl modules, confirming a conjecture of Leclerc and Thibon.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2012-16-07/S1088-4165-2012-00416-2/S1088-4165-2012-00416-2.pdf

Reference43 articles.

1. The strong linkage principle for quantum groups at roots of 1;Andersen, Henning Haahr;J. Algebra,2003

2. [Ar] S. Ariki, Graded 𝑞-Schur algebras, arxiv: 0903.3453

3. How to glue perverse sheaves;Beĭlinson, A. A.,1987

4. A proof of Jantzen conjectures;Beĭlinson, A.,1993

5. Faisceaux pervers;Beĭlinson, A. A.,1982

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Graded Sum Formula for ~ A1-Soergel Calculus and the Nil-Blob Algebra;International Mathematics Research Notices;2023-12-15

2. Schurian‐finiteness of blocks of type A$A$ Hecke algebras;Journal of the London Mathematical Society;2023-08-19

3. Bernstein Eigenvarieties;Peking Mathematical Journal;2023-06-22

4. Positive Jantzen sum formulas for cyclotomic Hecke algebras;Mathematische Zeitschrift;2022-03-02

5. Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis;Representation Theory of the American Mathematical Society;2020-10-29