中文

Cells in quantum affine sl_n

量子代数 2007-05-23 v1 表示论

摘要

We study Lusztig's theory of cells for quantum affine sln\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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引用

@article{arxiv.math/0209055,
  title  = {Cells in quantum affine sl_n},
  author = {Kevin McGerty},
  journal= {arXiv preprint arXiv:math/0209055},
  year   = {2007}
}