Graded $q$-Schur algebras

Details Graded $q$-Schur algebras Graded $q$-Schur algebras

2009-03-20

arxiv.org/abs/0903.3453v3

Mathematics

Representation Theory

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

Scientific paper

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 $q^3\neq1$.

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