DECOMPOSABLY-GENERATED MODULES OF SIMPLE LIE ALGEBRAS

DOI10.1142/S0219498811005415zbMath1305.17008WikidataQ115245696 ScholiaQ115245696MaRDI QIDQ2885384

Youjun Tan, Junhua He

Publication date: 23 May 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

dominant weightsorthogonal modulesdecomposably-generated modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Clifford algebras, spinors (15A66)

Cites Work

• Unnamed Item
• 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 exterior algebra and ``spin of an orthogonal \({\mathfrak g}\)-module
• Characters of Irreducible Representations of the Simple Groups. I. General Theory

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