Graded multiplicities in the exterior algebra of the little adjoint module

DOI10.1090/tran/8491OpenAlexW2807612728MaRDI QIDQ5863050

Ibukun Ademehin

Publication date: 10 March 2022

Full work available at URL: https://arxiv.org/abs/1806.01658

zbMATH Keywords

invariantsexterior algebragraded multiplicity

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• 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 \(\bigwedge {\mathfrak g}\)
• On certain modules of covariants in exterior algebras
• The partial order of dominant weights
• The exterior algebra and ``spin of an orthogonal \({\mathfrak g}\)-module
• Double affine Hecke algebras and Macdonald's conjectures
• The adjoint representation inside the exterior algebra of a simple Lie algebra
• Constant term identities and Poincaré polynomials
• Almost commuting elements in compact Lie groups
• The octonions
• Clifford Algebras and Lie Theory
• Introduction
• Graded multiplicities in the exterior algebra

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