An isomorphism theorem for Lusztig algebras

Weideng Cui

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arXiv · 1708.01835

An isomorphism theorem for Lusztig algebras

Weideng Cui

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Abstract

In [Lu6] Lusztig defined a certain algebra $H,$ which is a direct sum of various algebras $H_{\mathfrak{o}}.$ We establish an explicit algebra isomorphism between each algebra $H_{\mathfrak{o}}$ and some matrix algebra with coefficients in the tensor product of an (affine or finite) Hecke algebra and a group algebra. We give an application.

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BibTeX RIS

Weideng Cui. 2017-08-06. An isomorphism theorem for Lusztig algebras. https://arxiv.org/abs/1708.01835

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