47 citations · 74 across the 9 of their papers we have counts for
12 papers
Group Gradings and Actions of Pointed Hopf Algebras
Yuri Bahturin, Sjusan Montgomery
We study actions of pointed Hopf algebras on matrix algebras. Our approach is based on known facts about group gradings of matrix algebras.
Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension and
Adriana Mejía Castaño, Susan Montgomery, Sonia Natale +2
Let and be distinct prime numbers. We study the Galois objects and cocycle deformations of the noncommutative, noncocommutative, semisimple Hopf algebras of odd dimension $…
Hopf automorphisms and twisted extensions
Susan Montgomery, Maria D. Vega, Sarah Witherspoon
We give some applications of a Hopf algebra constructed from a group acting on another Hopf algebra A as Hopf automorphisms, namely Molnar's smash coproduct Hopf algebra. We find c…
-groups and Frobenius-Schur Indicators of Quantum Doubles
Miodrag Iovanov, Geoffrey Mason, Susan Montgomery
We study the higher Frobenius-Schur indicators of the representations of the Drinfel'd double of a finite group G, in particular the question as to when all the indicators are inte…
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…
On the trace of the antipode and higher indicators
Yevgenia Kashina, Susan Montgomery, Siu-Hung Ng
We introduce two kinds of gauge invariants for any finite-dimensional Hopf algebra H. When H is semisimple over C, these invariants are respectively, the trace of the map induced b…