Odd family algebras

DOI10.1007/0-8176-4478-4_11zbMath1195.17008OpenAlexW5380509MaRDI QIDQ5477928

Leonid Rybnikov, Alexandre Kirillov

Publication date: 29 June 2006

Published in: Studies in Lie Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/0-8176-4478-4_11

zbMATH Keywords

irreducible representationuniversal enveloping algebraClifford algebraexterior algebraclassical and quantum family algebrasSemisimple Lie algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Semisimple Lie groups and their representations (22E46)

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 non-commutative Weil algebra
• Family algebras
• Lie Group Representations on Polynomial Rings
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