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One dimensional representations of finite W-algebras, Dirac reduction and the orbit method.
- Source :
-
Inventiones Mathematicae . Dec2023, Vol. 234 Issue 3, p1039-1107. 69p. - Publication Year :
- 2023
-
Abstract
- In this paper we study the variety of one dimensional representations of a finite W -algebra attached to a classical Lie algebra, giving a precise description of the dimensions of the irreducible components. We apply this to prove a conjecture of Losev describing the image of his orbit method map. In order to do so we first establish new Yangian-type presentations of semiclassical limits of the W -algebras attached to distinguished nilpotent elements in classical Lie algebras, using Dirac reduction. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SEMICLASSICAL limits
*LIE algebras
*ORBIT method
Subjects
Details
- Language :
- English
- ISSN :
- 00209910
- Volume :
- 234
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Inventiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 173491786
- Full Text :
- https://doi.org/10.1007/s00222-023-01215-3