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arXiv · 2003.11279

Symplectic Dirac operators for Lie algebras and graded Hecke algebras

Dan Ciubotaru·Marcelo De Martino·Philippe Meyer
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Abstract

We define a pair of symplectic Dirac operators $(D^+,D^-)$ in an algebraic setting motivated by the analogy with the algebraic orthogonal Dirac operators in representation theory. We work in the settings of $\mathbb Z/2$-graded quadratic Lie algebras $\mathfrak g=\mathfrak k+\mathfrak p$ and of graded affine Hecke algebras $\mathbb H$.

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Dan Ciubotaru, Marcelo De Martino, Philippe Meyer. 2020-03-25. Symplectic Dirac operators for Lie algebras and graded Hecke algebras. https://arxiv.org/abs/2003.11279

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