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math.QA2008★ 1 cited
Cohomology of Frobenius Algebras and the Yang-Baxter Equation
J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi +2
A cohomology theory for multiplications and comultiplications of Frobenius algebras is developed in low dimensions in analogy with Hochschild cohomology of bialgebras based on defo…
math.QA2007
Cohomology of the adjoint of Hopf algebras
J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi +1
A cohomology theory of the adjoint of Hopf algebras, via deformations, is presented by means of diagrammatic techniques. Explicit calculations are provided in the cases of group al…
math.QA2004
Lie 2-Algebras
Alissa S. Crans
We categorify the theory of Lie algebras beginning with a new notion of categorified vector space, or `2-vector space', which we define as an internal category in Vect, the categor…