Jonas T. Hartwig

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math.RT2025

Dirac reduction algebra

Matthew Dorang, Jonas T. Hartwig, Dwight Anderson Williams

There is a homomorphism of associative superalgebras from the enveloping algebra of the orthosymplectic Lie superalgebra $osp (1∣2)$ to the Weyl-Clifford superalgebra $W(…

math.RT2025

Parabolic Stabilization and Cutting for Reduction Superalgebras

Jonas T. Hartwig

The diagonal reduction algebra of a reductive Lie algebra $g$ is a localization of the Mickelsson algebra associated to the symmetric pair $(\mathfrak{g}\times\mathfrak{…

math.RT2025

Subcategories of Module Categories via Restricted Yoneda Embeddings

Dylan Fillmore, Jonas T. Hartwig

We propose a framework for producing interesting subcategories of the category $_{A} Mod$ of left $A$ -modules, where $A$ is an associative algebra over a field $k$ . The con…