PBW Degeneration: Algebra, Geometry, and Combinatorics

E. B. Feigin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We review the recent progress in the theory of Poincaré–Birkhoff–Witt degenerations of irreducible representations of simple Lie algebras. We describe algebraic, geometric, and combinatorial aspects of the theory.

Original languageEnglish
Pages (from-to)685-713
Number of pages29
JournalJournal of Mathematical Sciences
Volume235
Issue number6
DOIs
StatePublished - 1 Dec 2018
Externally publishedYes

Funding

FundersFunder number
Deutsche Forschungsgemeinschaft16-41-01013
Russian Science Foundation

    Keywords

    • 17B10
    • Lie algebras
    • PBW degeneration
    • flag varieties

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