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 $\bigwedge {\mathfrak g}$

DOI10.1006/aima.1997.1608zbMath0882.17002OpenAlexW1979841320MaRDI QIDQ675876

Publication date: 6 May 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1608

zbMATH Keywords

Clifford algebra $\bigwedge \mathfrak g$

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Clifford algebras, spinors (15A66) Simple, semisimple, reductive (super)algebras (17B20)

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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 \(\bigwedge {\mathfrak g}\)