Primitive ideals, twisting functors and star actions for classical Lie superalgebras

DOI10.1515/crelle-2014-0079zbMath1395.17023arXiv1401.3231OpenAlexW2060834831MaRDI QIDQ314119

Kevin Coulembier, Volodymyr Mazorchuk

Publication date: 13 September 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3231

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (17)

Dualities and derived equivalences for category \(\mathcal{O}\) ⋮ Bott-Borel-Weil theory and Bernstein-Gel'fand-Gel'fand reciprocity for Lie superalgebras ⋮ The primitive spectrum for \(\mathfrak{gl}(m|n)\) ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs ⋮ The Primitive Spectrum and Category  for the Periplectic Lie Superalgebra ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Kostant's problem for Whittaker modules ⋮ Parabolic category for periplectic Lie superalgebras ⋮ Homological invariants in category $\mathcal {O}$ for the general linear superalgebra ⋮ Blocks and characters of \(G(3)\)-modules of non-integral weights ⋮ Twisting functors and generalized Verma modules ⋮ Whittaker modules for classical Lie superalgebras ⋮ The primitive spectrum of a basic classical Lie superalgebra ⋮ Reduction method for representations of queer Lie superalgebras ⋮ Tilting modules for classical Lie superalgebras ⋮ Blocks and characters of \(D(2|1; \zeta)\)-modules of non-integral weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of blocks for the general linear Lie superalgebra
• Ordering of the primitive spectrum of a semisimple Lie algebra
• Classification of simple \(\mathfrak{q}_2\)-supermodules
• The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\)
• The enveloping algebra of the Lie superalgebra \(\mathfrak{osp}(1,2)\)
• Regular strongly typical blocks of \(\mathcal O^{\mathfrak q}\)
• A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra
• Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Primitive ideals in the enveloping algebra of the Lie superalgebra sl(2,1)
• Generic representations of classical Lie superalgebras and their localization
• On Arkhipov's and Enright's functors.
• On representations of the Lie superalgebra \(p\)(\(n\))
• Representations of classical Lie superalgebras of type I
• On functors associated to a simple root
• A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra (with an appendix by Catharina Stroppel).
• Structure of representations generated by vectors of highest weight
• Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras
• Strongly typical representations of the basic classical Lie superalgebras
• Joseph Ideals and Harmonic Analysis for
• Bounded Highest Weight Modules Over 𝔮(n)
• Kac–Moody Superalgebras and Integrability
• Cell 2-representations of finitary 2-categories
• Shapovalov determinants of Q-type Lie superalgebras
• The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟)
• Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module
• Twisting functors on 𝒪
• A Bijection of Primitive Spectra for Classical Lie Superalgebras of Type I
• Inner tableau translation property of the weak order and related results
• Parabolic category O for classical Lie superalgebras
• A character formula for singly atypical modules of the lie superalgebra sl(m/n)
• Character formulae for the lie superalgebra C(n)

This page was built for publication: Primitive ideals, twisting functors and star actions for classical Lie superalgebras