Abstract

Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James' qq-Schur algebra, and prove a graded analogue of the Leclerc and Thibon's conjecture on the decomposition numbers of the qq-Schur algebra when q2≠1q^2\neq1 and q3≠1q^3\neq1.

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