J. Kujawa

collaborators

6 papers

math.RT2026

Interpolating Schur Algebras

Addison Day, Jonathan R. Kujawa

We introduce and study a one-parameter family of algebras that naturally generalize the Schur algebras. We show the Schur algebra is canonically a quotient when the parameter is a…

math.RT2026

Lie Superalgebras Generated by Reflections in Weyl Groups of Classical Type

Christopher M. Drupieski, Jonathan R. Kujawa

We consider the finite Weyl groups of classical type -- $W (A_{r})$ for $r \geq 1$ , $W (B_{r}) = W (C_{r})$ for $r \geq 2$ , and $W (D_{r})$ for $r \geq 4$ -- as supergroups in which th…

math.RT2026

Lie algebras generated by reflections in types BCD

Christopher M. Drupieski, Jonathan R. Kujawa

We consider the group algebra over the field of complex numbers of the Weyl group of type B (the hyperoctahedral group, or the group of signed permutations) and of the Weyl group o…

math.RT2026

Schur--Weyl Equivalences for Wreath Product Superalgebras

Lauren Grimley, Jonathan R. Kujawa

Let $A$ be an associative superalgebra over a field of characteristic zero. Let $n \geq d + 1$ . The main result of the paper establishes an equivalence of categories between supermod…

math.RT2025

Superalgebra deformations of web categories: Affine and cyclotomic webs

Nicholas Davidson, Jonathan R. Kujawa, Robert Muth

Let $k$ be a characteristic zero domain. We define and study a diagrammatic monoidal $k$ -linear supercategory $Web_{A}^{a f f}$ associated to any locally u…

math.RT2025

The Lie superalgebra of transpositions

Christopher M. Drupieski, Jonathan R. Kujawa

We consider the group algebra of the symmetric group as a superalgebra, and describe its Lie subsuperalgebra generated by the transpositions. The updated version corrects some of t…