Kostant's cubic Dirac operator of Lie Superalgebras

Details Kostant's cubic Dirac operator of Lie Superalgebras Kostant's cubic Dirac operator of Lie Superalgebras

1999-10-15

arxiv.org/abs/hep-th/9910119v1

J.Math.Phys. 40 (1999) 6577-6588

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX2e. To appear in J.Math.Phys

Scientific paper

10.1063/1.533107

We extend equal rank embedding of reductive Lie algebras to that of basic Lie
superalgebras. The Kac character formulas for equal rank embedding are derived
in terms of subalgebras and Kostant's cubic Dirac operator for equal rank
embedding of Lie superalgebras is constructed from both even and odd generators
and their related structure constants.

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