C. Drupieski

collaborators

3 papers

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.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…