T. Arakawa, A. Premet, “Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W\!$-algebras”, Тр. ММО, 2017, том 78, выпуск 2,страницы 261

Эта публикация цитируется в 10 статьях

Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W\!$-algebras

T. Arakawa^a, A. Premet^b

^a Research Institute for Mathematical Sciences, Kyoto University, Japan
^b School of Mathematics, The University of Manchester, UK

Аннотация: We use affine $W\!$-algebras to quantize Mishchenko–Fomenko subalgebras for centralizers of nilpotent elements in finite dimensional simple Lie algebras under certain assumptions that are satisfied for all cases in type $\mathrm{A}$ and all minimal nilpotent cases outside type $\mathrm{E}_8$.

Ключевые слова и фразы: Mishchenko–Fomenko subalgebras, vertex algebras, affine $W\!$-algebras.

УДК: 512.554.31, 512.554.32, 512.554.342

MSC: 17B35, 17B08, 17B20, 17B69

Поступила в редакцию: 25.01.2017
Исправленный вариант: 19.05.2017

Язык публикации: английский