Analogue Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the Kostant Clifford algebra conjecture

DOI10.1007/s00031-012-9187-4zbMath1342.17009OpenAlexW2055039878WikidataQ123348620 ScholiaQ123348620MaRDI QIDQ1928558

Anthony Joseph

Publication date: 3 January 2013

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-012-9187-4

zbMATH Keywords

image of Harish-Chandra mapprecise form of Kostant Clifford algebra conjectureZhelobenko invariants

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items (2)

On the Kostant conjecture for Clifford algebras ⋮ Relative Yangians of Weyl type

Cites Work

• A generalized Harish-Chandra isomorphism
• On the Kostant conjecture for Clifford algebras
• 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 \(\bigwedge {\mathfrak g}\)
• A direct proof of a generalized Harish-Chandra isomorphism
• Extremal cocycles of Weyl groups
• Representation of complex semi-simple Lie groups and Lie algebras
• Principal basis in Cartan subalgebra
• The Brauer-Manin Obstruction and III[2]
• Unnamed Item

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