Symplectic PBW degenerate flag varieties; PBW tableaux and defining equations

DOI10.1007/s00031-022-09725-9zbMath1524.14103arXiv2007.06362MaRDI QIDQ6097854

George Balla

Publication date: 7 June 2023

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06362

zbMATH Keywords

symplectic Lie algebraflag varietyYoung tableaux

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35)

Related Items (1)

PBW filtration and monomial bases for Demazure modules in types A and C

Cites Work

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• \({\mathbb{G}_a^M}\) degeneration of flag varieties
• PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
• Symplectic standard tableaux
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Computing toric degenerations of flag varieties
• Linear degenerations of flag varieties: partial flags, defining equations, and group actions
• Plücker relations and spherical varieties: application to model varieties
• Symplectic Degenerate Flag Varieties
• Bijective Proof of a Symplectic Dual Pair Identity
• PBW Filtration and Bases for Symplectic Lie Algebras
• A Schensted Algorithm Which Models Tensor Representations of the Orthogonal Group
• Equations Defining Symmetric Varieties and Affine Grassmannians
• Geometry of 𝐺/𝑃
• Weighted PBW degenerations and tropical flag varieties
• The Tropical Symplectic Grassmannian

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