Restrictions of Symmetric Invariants of a Complex Semisimple Lie Algebra and Some Applications

DOI10.1080/00927872.2013.795576zbMath1320.17006OpenAlexW2132439599MaRDI QIDQ2876244

Daowei Wen, Gang Han

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.795576

zbMATH Keywords

Weyl groupcomplex semisimple Lie algebrarestrictions of symmetric invariants

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Cites Work

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• A class of primary representations associated with symmetric pairs and restricted root systems
• Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants
• Some Results on Invariant Differential Operators on Symmetric Spaces
• Dimensions of Spaces of Generalized Spherical Functions

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