Cells in quantum affine sl_n

Details Cells in quantum affine sl_n Cells in quantum affine sl_n

2002-09-06

arxiv.org/abs/math/0209055v1

Mathematics

Quantum Algebra

Scientific paper

We study Lusztig's theory of cells for quantum affine $\mathfrak{sl}_n$.
Using the geometric construction of the quantum group due to Lusztig and
Ginzburg--Vasserot, we describe explicitly the two-sided cells, the number of
left cells in a two--sided cell, and the asymptotic algebra, verifying
conjectures of Lusztig.

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