Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine -algebras

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2016-11-03 DOI:10.1090/MOSC/264

T. Arakawa, A. Premet

引用次数: 15

Abstract

We use affine W-algebras to quantize Mishchenko-Fomenko subalgebras for centralizers of nilpotent elements in simple Lie algebras under certain assumptions that are satisfied for all cases in type A and all minimal nilpotent cases outside type $E_8$.

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用仿射代数量化集中器的Mishchenko-Fomenko子代数

我们利用仿射w -代数量化了简单李代数中幂零元的集中子代数的Mishchenko-Fomenko子代数，这些子代数在一定的假设下满足所有类型A中的情况和类型E_8以外的所有极小幂零情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.