activity
20072012
most citedSupercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

105 citations · 107 across the 5 of their papers we have counts for

collaborators

6 papers

math.RT2012

Modular Representations and Indicators for Bismash Products

Andrea Jedwab, Susan Montgomery

We introduce Brauer characters for representations of the bismash products of groups in characteristic p > 0, p not 2 and study their properties analogous to the classical case of…

math.RA2010

A -Identity Related to a Comodule

Andrea Jedwab, Susan Montgomery

In this paper we show that a certain algebra being a comodule algebra over the Taft Hopf algebra of dimension is equivalent to a set of identities related to the -binomial…

math.CO2010★ 105 cited

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25

We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…

math.QA2009★ 1 cited

Trace-like invariant for representations of nilpotent liftings of quantum planes

Andrea Jedwab, Leonid Krop

We derive a formula for the trace of the antipode on endomorphism algebras of simple self-dual modules of nilpotent liftings of quantum planes. We show that the trace is equal to t…

math.QA2009★ 1 cited

A trace-like invariant for representations of Hopf algebras

Andrea Jedwab

In this paper we introduce a trace-like invariant for the irreducible representations of a finite dimensional complex Hopf algebra H. We do so by considering the trace of the map i…

math.QA2007

Representations of some Hopf algebras associated to the symmetric group S_n

Andrea Jedwab, Susan Montgomery

We study the representations and their Frobenius-Schur indicators of two semisimple Hopf algebras related to the symmetric group , namely the bismash products $H_n = k^{C_n}#…