Graded $q$-Schur algebras

Susumu Ariki

Graded $q$-Schur algebras

Representation Theory 2011-03-03 v3 Quantum Algebra

Authors: Susumu Ariki

Abstract

Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James' $q$ -Schur algebra, and prove a graded analogue of the Leclerc and Thibon's conjecture on the decomposition numbers of the $q$ -Schur algebra when $q^2\neq1$ and $q^3\neq1$ .

Keywords

algebra classification and gradings graded algebras associative algebras

Cite

@article{arxiv.0903.3453,
  title  = {Graded $q$-Schur algebras},
  author = {Susumu Ariki},
  journal= {arXiv preprint arXiv:0903.3453},
  year   = {2011}
}

Comments

25 pages, (v2) added details of the proof, (v3) have changed notations to standard ones and corrected various confusions

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