PBW Degeneration: Algebra, Geometry, and Combinatorics

E. B. Feigin

doi:10.1007/s10958-018-4089-1

PBW Degeneration: Algebra, Geometry, and Combinatorics

E. B. Feigin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	685-713
Number of pages	29
Journal	Journal of Mathematical Sciences
Volume	235
Issue number	6
DOIs	https://doi.org/10.1007/s10958-018-4089-1
State	Published - 1 Dec 2018
Externally published	Yes

Keywords

17B10
Lie algebras
PBW degeneration
flag varieties

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10.1007/s10958-018-4089-1

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title = "PBW Degeneration: Algebra, Geometry, and Combinatorics",

abstract = "We review the recent progress in the theory of Poincar{\'e}–Birkhoff–Witt degenerations of irreducible representations of simple Lie algebras. We describe algebraic, geometric, and combinatorial aspects of the theory.",

keywords = "17B10, Lie algebras, PBW degeneration, flag varieties",

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PBW Degeneration: Algebra, Geometry, and Combinatorics

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