English

On the decomposition matrices of the quantized Schur algebra

Quantum Algebra 2007-05-23 v3

Abstract

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.

Keywords

Cite

@article{arxiv.math/9803023,
  title  = {On the decomposition matrices of the quantized Schur algebra},
  author = {Michela Varagnolo and Eric Vasserot},
  journal= {arXiv preprint arXiv:math/9803023},
  year   = {2007}
}

Comments

AMS-tex, 30 pages

R2 v1 2026-07-22T17:57:53.671Z