PBW Degeneration: Algebra, Geometry, and Combinatorics

Research output: Contribution to journalArticlepeer-review


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
Issue number6
StatePublished - 1 Dec 2018
Externally publishedYes


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

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Statistics and Probability
  • General Mathematics


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