PBW degeneration: algebra, geometry, and combinatorics
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on algebra and geometry of the Samara University, Tome 136 (2017), pp. 3-30
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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.
Mots-clés : Lie algebras
Keywords: flag varieties, PBW degeneration.
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     title = {PBW degeneration: algebra, geometry, and combinatorics},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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E. B. Feigin. PBW degeneration: algebra, geometry, and combinatorics. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on algebra and geometry of the Samara University, Tome 136 (2017), pp. 3-30. http://geodesic.mathdoc.fr/item/INTO_2017_136_a0/