5 papers
Dirac operators for infinite-dimensional color Lie algebras
Steffen Schmidt, Konstantin Wernli
We construct cubic Dirac operators and relative cubic Dirac operators for infinite-dimensional quadratic -graded color Lie algebras with finite-dimensional components.…
Perturbations of Dirac Operators
Steffen Schmidt
We study perturbations of relative cubic Dirac operators for basic classical Lie superalgebras within the uniform formalism of the colour quantum Weil algebra. This perspective lea…
On the full set of unitarizable supermodules over
Steffen Schmidt
We present a novel classification of unitarizable supermodules over special linear Lie superalgebras using an algebraic quadratic Dirac operator introduced by Huang and PandžiÄ a…
Dirac Operators, Dirac Cohomology and Unitarity for
Steffen Schmidt
Dirac operators and Dirac cohomology for Lie superalgebras of Riemannian type, introduced by Huang and PandžiÄ, provide an effective tool for the study of unitarizable supermodul…
Cubic Dirac Operators and Dirac Cohomology for Basic Classical Lie Superalgebras
Simone Noja, Steffen Schmidt, Raphael Senghaas
We study the Dirac cohomology of supermodules over basic classical Lie superalgebras, formulated in terms of cubic Dirac operators associated with parabolic subalgebras. Specifical…