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Sugawara Operators for Classical Lie Algebras
About this Title
Alexander Molev, University of Sydney, Sydney, Australia
Publication: Mathematical Surveys and Monographs
Publication Year:
2018; Volume 229
ISBNs: 978-1-4704-3659-9 (print); 978-1-4704-4391-7 (online)
DOI: https://doi.org/10.1090/surv/229
MathSciNet review: MR3752644
MSC: Primary 17B35; Secondary 16S30, 17B63, 17B67
Table of Contents
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Front/Back Matter
Chapters
- Idempotents and traces
- Invariants of symmetric algebras
- Manin matrices
- Casimir elements for $\mathfrak {gl}_N$
- Casimir elements for $\mathfrak {o}_N$ and $\mathfrak {sp}_N$
- Feigin-Frenkel center
- Generators in type $A$
- Generators in types $B, C$ and $D$
- Commutative subalgebras of $\textrm {U}(\mathfrak {g})$
- Yangian characters in type $A$
- Yangian characters in types $B, C$ and $D$
- Classical $\mathcal {W}$-algebras
- Affine Harish-Chandra isomorphism
- Higher Hamiltonians in the Gaudin model
- Wakimoto modules