Super duality and homology of unitarizable modules of Lie algebras
From MaRDI portal
Publication:409059
DOI10.2977/PRIMS/60zbMath1275.17037arXiv1012.1087MaRDI QIDQ409059
Po-Yi Huang, Ngau Lam, Tze-Ming To
Publication date: 12 April 2012
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.1087
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56)
Related Items
Solutions of super Knizhnik-Zamolodchikov equations, Gaudin Hamiltonians on unitarizable modules over classical Lie (super)algebras, Kostant homology formulas for oscillator modules of Lie superalgebras, Projective modules over classical Lie algebras of infinite rank in the parabolic category
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup
- Irreducible characters of general linear superalgebra and super duality
- Super duality and irreducible characters of ortho-symplectic Lie superalgebras
- Kostant homology formulas for oscillator modules of Lie superalgebras
- Brundan-Kazhdan-Lusztig and super duality conjectures
- Representations of real reductive Lie groups
- Kostant's formula for Kac-Moody Lie algebras
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Kac-Moody groups, their flag varieties and representation theory
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Combinatorics of Coxeter Groups
- Howe Duality and Kostant Homology Formula for Infinite-Dimensional Lie Superalgebras
- Super duality and Kazhdan-Lusztig polynomials
- Analogues of Kostant's -cohomology formulas for unitary highest weight modules.
- Remarks on Classical Invariant Theory
- Differential operators and highest weight representations
- DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS
- Quasi-finite modules for Lie superalgebras of infinite rank