13 citations · 16 across the 4 of their papers we have counts for
5 papers
Bin Decompositions
Daniel Gotshall, Pamela E. Harris, Dawn Nelson +2
It is well known that every positive integer can be expressed as a sum of nonconsecutive Fibonacci numbers provided the Fibonacci numbers satisfy for $n\geq…
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…
Twisted Exponents and Twisted Frobenius-Schur Indicators for Hopf Algebras
Daniel S. Sage, Maria D. Vega
Classically, the exponent of a group is the least common multiple of the orders of its elements. This notion was generalized by Etingof and Gelaki to the context of Hopf algebras.…
Twisted Frobenius-Schur indicators for Hopf algebras
Daniel S. Sage, Maria D. Vega
The classical Frobenius-Schur indicators for finite groups are character sums defined for any representation and any integer m greater or equal to 2. In the familiar case m=2, the…