On the decomposition matrices of the quantized Schur algebra

Details On the decomposition matrices of the quantized Schur algebra On the decomposition matrices of the quantized Schur algebra

1998-03-07

arxiv.org/abs/math/9803023v3

Mathematics

Quantum Algebra

AMS-tex, 30 pages

Scientific paper

We prove the decomposition conjecture of Leclerc and Thibon for the Schur
algebra. We also give a new approach to the Lusztig conjecture for the
dimension of the simple U(sl_k)-modules at roots of unity via canonical bases
of the Hall algebra.

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