Kostant’s cubic Dirac operator of Lie superalgebras

DOI10.1063/1.533107zbMath1015.17004arXivhep-th/9910119OpenAlexW3104429768MaRDI QIDQ4498523

Teparksorn Pengpan

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9910119

zbMATH Keywords

Weyl character formulabasic Lie superalgebrastype I Lie superalgebrasKostant's cubic Dirac operatorequal rank embeddingKac character formulastypical representation

Mathematics Subject Classification ID

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

Related Items (2)

Dirac operators on quadratic Lie superalgebras ⋮ Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras

Cites Work

• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• The Weyl character formula, the half-spin representations, and equal rank subgroups
• Lie superalgebras

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