Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras
HTML articles powered by AMS MathViewer
- by T. Arakawa and A. Premet
- Trans. Moscow Math. Soc. 2017, 217-234
- DOI: https://doi.org/10.1090/mosc/264
- Published electronically: December 1, 2017
Abstract:
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 $\mathrm {E}_8$.References
Bibliographic Information
- T. Arakawa
- Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Japan
- MR Author ID: 611463
- Email: arakawa@kurims.kyoto-u.ac.jp
- A. Premet
- Affiliation: School of Mathematics, The University of Manchester, United Kingdom
- MR Author ID: 190461
- Email: alexander.premet@manchester.ac.uk
- Published electronically: December 1, 2017
- Additional Notes: The first author was partially supported by JSPS KAKENHI Grants (#25287004 and #26610006).
The second author was supported by the Leverhulme Trust (Grant RPG-2013–293). - © Copyright 2017 T. Arakawa, A. Premet
- Journal: Trans. Moscow Math. Soc. 2017, 217-234
- MSC (2010): Primary 17B35, 17B08, 17B20, 17B69
- DOI: https://doi.org/10.1090/mosc/264
- MathSciNet review: 3738086
Dedicated: Dedicated to Ernest Borisovich Vinberg for his $80$th birthday