Kostant's cubic Dirac operator of Lie Superalgebras

Abstract

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.

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

References in corpus (2)

• The Weyl Character Formula, the half-spin representations, and equal rank subgroups
• M(ysterious) Patterns in SO(9)

Cited by in corpus (1)

• Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras