Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants

DOI10.1016/J.JALGEBRA.2007.06.038zbMath1137.17008OpenAlexW2062666989WikidataQ115351434 ScholiaQ115351434MaRDI QIDQ2482081

Gang Han

Publication date: 16 April 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.06.038

zbMATH Keywords

spin representationsymmetric invariantssymmetric subalgebrainvolutory semisimple Lie algebranoncohomologous to zero

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Fundamental Involutory Root Systems and a Branching Theorem for Symmetric Pairs ⋮ A Multiplicity Formula for Isotropy Representations of Symmetric Pairs ⋮ Restrictions of Symmetric Invariants of a Complex Semisimple Lie Algebra and Some Applications

Cites Work

• A class of primary representations associated with symmetric pairs and restricted root systems
• Restricted root systems and spin representations
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• The Images of Restriction Maps and Dirac Cohomology
• Some Results on Invariant Differential Operators on Symmetric Spaces
• Dimensions of Spaces of Generalized Spherical Functions
• Unnamed Item

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