Stabilization of the Brylinski-Kostant filtration and limit of Lusztig \(q\)-analogues
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Publication:930428
DOI10.1007/s10801-007-0097-9zbMath1151.22018OpenAlexW2166774477MaRDI QIDQ930428
Publication date: 30 June 2008
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-007-0097-9
(q)-calculus and related topics (05A30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items (1)
Cites Work
- Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank
- On the decomposition of the tensor algebra of the classical Lie algebras
- Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
- Characters of the nullcone
- Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system \(C_n\)
- Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems \(B_{n}\), \(C_{n}\) and \(D_{n}\)
- Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
- Generalized exponents via Hall-Littlewood symmetric functions
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