On special covariants in the exterior algebra of a simple Lie algebra
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Publication:467382
DOI10.4171/RLM/682zbMath1318.17006arXiv1404.4222OpenAlexW2017578229WikidataQ115211937 ScholiaQ115211937MaRDI QIDQ467382
Pierluigi Möseneder Frajria, Paolo Papi, Corrado De Concini, Claudio Procesi
Publication date: 3 November 2014
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.4222
Related Items (5)
On covariants in exterior algebras for the even special orthogonal group ⋮ On some modules of covariants for a reflection group ⋮ On certain modules of covariants in exterior algebras ⋮ Reeder's conjecture for even orthogonal Lie algebras ⋮ The adjoint representation inside the exterior algebra of a simple Lie algebra
Cites Work
- 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 \(\bigwedge {\mathfrak g}\)
- The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants
- Invariant Theory of little adjoint modules
- First Layer Formulas for Characters of SL(n, C)
- Exterior Powers of the Adjoint Representation
- Lie Group Representations on Polynomial Rings
- Graded multiplicities in the exterior algebra
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