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Symplectic Dirac operators for Lie algebras and graded Hecke algebras by Ciubotaru, Dan; De Martino, Marcelo; Meyer, Philippe is a scholarly article available to read on EtoBox.

What is Symplectic Dirac operators for Lie algebras and graded Hecke algebras about?

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 $\mathbb H$.

Author

Ciubotaru, Dan; De Martino, Marcelo; Meyer, Philippe

Published

2020

Language

EN