On Lusztig’s q-Analogues of All Weight Multiplicities of a Representation
From MaRDI portal
Publication:5278325
DOI10.1007/978-3-319-43648-7_10zbMath1428.17005arXiv1406.1453OpenAlexW2535348549MaRDI QIDQ5278325
Publication date: 19 July 2017
Published in: Arbeitstagung Bonn 2013 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.1453
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Cohomology theory for linear algebraic groups (20G10)
Cites Work
- Unnamed Item
- Unnamed Item
- Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant, Macdonald, Shapiro, and Steinberg
- A note on exponents vs root heights for complex simple Lie algebras
- Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles
- Characters of the nullcone
- Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
- Notes on Lie algebras.
- Functions on the universal cover of the principal nilpotent orbit
- Cohomology and the resolution of the nilpotent variety
- Line bundles on the cotangent bundle of the flag variety
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
- A generalization of the Kostant—Macdonald identity
- Generalized exponents via Hall-Littlewood symmetric functions
- Characters and the q -Analog of Weight Multiplicity
- A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.
- WEIGHT MULTIPLICITY FREE REPRESENTATIONS, ${\frak g}$-ENDOMORPHISM ALGEBRAS, AND DYNKIN POLYNOMIALS
- Lie Group Representations on Polynomial Rings
- Graded multiplicities in the exterior algebra
This page was built for publication: On Lusztig’s q-Analogues of All Weight Multiplicities of a Representation