4 papers
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 to the Weyl-Clifford superalgebra $W(…
Parabolic Stabilization and Cutting for Reduction Superalgebras
Jonas T. Hartwig
The diagonal reduction algebra of a reductive Lie algebra is a localization of the Mickelsson algebra associated to the symmetric pair $(\mathfrak{g}\times\mathfrak{…
Subcategories of Module Categories via Restricted Yoneda Embeddings
Dylan Fillmore, Jonas T. Hartwig
We propose a framework for producing interesting subcategories of the category of left -modules, where is an associative algebra over a field . The con…
Gelfand-Tsetlin Crystals
Jonas T. Hartwig, O'Neill Kingston
We give a crystal structure on the set of Gelfand-Tsetlin patterns which parametrize bases for finite-dimensional irreducible representations of the general linear Lie algebra. The…