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arXiv · 1704.00166

Geometric realizations of Lusztig's symmetries on the whole quantum groups

Minghui Zhao
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Abstract

In this paper, we shall study the structure of the Grothendieck group of the category consisting of Lusztig's perverse sheaves and give a decomposition theorem of it. By using this decomposition theorem and the geometric realizations of Lusztig's symmetries on the positive part of a quantum group, we shall give geometric realizations of Lusztig's symmetries on the whole quantum group.

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Minghui Zhao. 2017-04-01. Geometric realizations of Lusztig's symmetries on the whole quantum groups. https://arxiv.org/abs/1704.00166

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