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Abstract
We classify the finite-dimensional irreducible representations with integral central character of finite W-algebras U(g, e) associated to standard Levi nilpotent orbits in classical Lie algebras of types B and C. This classification is given explicitly in terms of the highest weight theory for finite W-algebras.
Original language | English |
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Pages (from-to) | 31-71 |
Number of pages | 41 |
Journal | Pacific Journal of Mathematics |
Volume | 269 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2014 |
Keywords
- Representation theory
- W-algebras
ASJC Scopus subject areas
- General Mathematics
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Dive into the research topics of 'Representation theory of type B and C standard Levi W-algebras'. Together they form a unique fingerprint.Projects
- 1 Finished
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Representation Theory of Finite W-algebras
Goodwin, S. (Principal Investigator)
Engineering & Physical Science Research Council
17/08/09 → 16/08/12
Project: Research Councils