Parabolic category for periplectic Lie superalgebras

DOI10.1007/s00031-021-09682-9arXiv2002.10311OpenAlexW4205229591WikidataQ115389355 ScholiaQ115389355MaRDI QIDQ6192556

Yung-Ning Peng, Chih-Whi Chen

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2002.10311

zbMATH Keywords

highest weight categoryperiplectic Lie superalgebrasparabolic category

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie groups (22E99) Structure theory for linear algebraic groups (20G07)

Cites Work

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• Primitive ideals, twisting functors and star actions for classical Lie superalgebras
• Equivalence of blocks for the general linear Lie superalgebra
• Finite-dimensional representations of periplectic Lie superalgebras
• Super duality and irreducible characters of ortho-symplectic Lie superalgebras
• Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Cohomology of G/P for classical complex Lie supergroups G and characters of some atypical G-modules
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\)
• Affine periplectic Brauer algebras
• On representations of the Lie superalgebra \(p\)(\(n\))
• Grothendieck rings of periplectic Lie superalgebras
• Duflo-Serganova functor and superdimension formula for the periplectic Lie superalgebra
• Complexity and support varieties for type \(P\) Lie superalgebras
• Denominator identities for the periplectic Lie superalgebra
• Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras
• The affine VW supercategory
• Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\)
• The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
• Some homological properties of category \(\mathcal{O}\). IV
• Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras
• Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology
• Centers of degenerate cyclotomic Hecke algebras and parabolic category 𝒪
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• The periplectic Brauer algebra
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers
• Koszul Duality Patterns in Representation Theory
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Kac–Wakimoto conjecture for the periplectic Lie superalgebra
• Tilting modules for classical Lie superalgebras
• The Primitive Spectrum and Category  for the Periplectic Lie Superalgebra
• Simple supermodules over Lie superalgebras
• Deligne categories and the periplectic Lie superalgebra
• Parabolic category O for classical Lie superalgebras
• On the category of finite-dimensional representations of $\OSPrn$: Part I
• Lie superalgebras
• The center of a simple \(P\)-type Lie superalgebra.
• Semi-Infinite Highest Weight Categories

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