Symplectic Dirac operators for Lie algebras and graded Hecke algebras

The aim of this paper is to 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 ℤ/2-graded quadratic Lie algebras 𝔤 = 𝔨 + 𝔭 and of graded affine Hecke...

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Hlavní autoři: Ciubotaru, D, De Martino, M, Meyer, P
Médium: Journal article
Jazyk:English
Vydáno: Springer 2022