Reeder's conjecture for even orthogonal Lie algebras
From MaRDI portal
Publication:6164903
DOI10.1007/s10468-022-10115-8arXiv2011.02139OpenAlexW4210763436MaRDI QIDQ6164903
Publication date: 4 July 2023
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.02139
simple Lie algebrasexterior algebrasmall representationsgraded multiplicitieszero weight space representations
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric Satake, Springer correspondence and small representations
- On special covariants in the exterior algebra of a simple Lie algebra
- Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\)
- Zero weight spaces and the Springer correspondence
- Invariants for representations of Weyl groups and two-sided cells
- On the Poincaré series of representations of finite reflection groups
- Covariants of the symmetric group and its analogs in Weyl algebras
- The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants
- On the cohomology of compact Lie groups
- On Reeder's conjecture for type B and C Lie algebras
- The adjoint representation inside the exterior algebra of a simple Lie algebra
- Some numerical results on the characters of exceptional Weyl groups
- Characters of Reductive Groups over a Finite Field. (AM-107)
- First Layer Formulas for Characters of SL(n, C)
- Exterior Powers of the Adjoint Representation
- On some modules of covariants for a reflection group
- Graded multiplicities in the exterior algebra
- Reeder's conjecture for even orthogonal Lie algebras
This page was built for publication: Reeder's conjecture for even orthogonal Lie algebras