The Weyl algebra and the structure of all Lie superalgebras of Riemannian type

DOI10.1007/BF01263090zbMath0994.17003arXivmath/0106171WikidataQ115393755 ScholiaQ115393755MaRDI QIDQ5959062

Bertram Kostant

Publication date: 26 September 2002

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

Full work available at URL: https://arxiv.org/abs/math/0106171

zbMATH Keywords

Weyl algebraRiemannian Lie superalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05)

Related Items (10)

Symplectic Dirac cohomology and lifting of characters to metaplectic groups ⋮ On the classification of non-equal rank affine conformal embeddings and applications ⋮ Generalized Clifford theory for graded spaces ⋮ Symplectic Dirac operators for Lie algebras and graded Hecke algebras ⋮ Lie superalgebras based on \(\mathfrak{gl}_n\) associated to the adjoint representation, and invariant geometric structures defined on them ⋮ The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras ⋮ Dirac operators on quadratic Lie superalgebras ⋮ Symmetries of the space of linear symplectic connections ⋮ Classification of finite-dimensional Lie superalgebras whose even part is a three-dimensional simple Lie algebra over a field of characteristic not two or three ⋮ Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras

Cites Work

• A class of variationally complete representations
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Dirac operator and the discrete series
• Lie superalgebras

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