Steffen Schmidt

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20242026

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math.RT2026

Unitary Branching for $sl (m ∣ n), osp (m ∣2 n)$ and $F (4)$

Steffen Schmidt

We determine the branching of irreducible unitary representations of the basic classical Lie superalgebras $sl (m ∣ n)$ , $osp (m ∣2 n)$ , and $F (4)$ under restrictio…

math.RT2026

Dirac operators for infinite-dimensional color Lie algebras

Steffen Schmidt, Konstantin Wernli

We develop the Dirac formalism for infinite-dimensional quadratic $Z$ -graded color Lie algebras with finite-dimensional components. Cubic Dirac operators are defined in co…

math.RT2026

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…

math.RT2026

On the full set of unitarizable supermodules over $sl (m ∣ n)$

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…

Unitary Branching for sl(m∣n),osp(m∣2n) and F(4)

Dirac operators for infinite-dimensional color Lie algebras

Perturbations of Dirac Operators

On the full set of unitarizable supermodules over sl(m∣n)

Unitary Branching for $sl (m ∣ n), osp (m ∣2 n)$ and $F (4)$

On the full set of unitarizable supermodules over $sl (m ∣ n)$