6 papers
Unitary Branching for and
Steffen Schmidt
We determine the branching of irreducible unitary representations of the basic classical Lie superalgebras , , and under restrictio…
Dirac operators for infinite-dimensional color Lie algebras
Steffen Schmidt, Konstantin Wernli
We develop the Dirac formalism for infinite-dimensional quadratic -graded color Lie algebras with finite-dimensional components. Cubic Dirac operators are defined in co…
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 classify all simple unitarizable supermodules over special linear Lie superalgebras using the algebraic Dirac operator introduced by Huang and Pandžić and the associated Dirac i…
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…
Dirac Operators, Dirac Cohomology and Unitarity for
Steffen Schmidt
Dirac operators and Dirac cohomology for Lie superalgebras of Riemannian type, introduced by Huang and Pandžić, provide an effective tool for the study of unitarizable supermodules…