31 citations · 136 across the 24 of their papers we have counts for
9 papers · 1 filter
Invariant embeddings and weighted permutations
Mitja Mastnak, Heydar Radjavi
We prove that for any fixed unitary matrix , any abelian self-adjoint algebra of matrices that is invariant under conjugation by can be embedded into a maximal abelian self-…
Bialgebra Coverings and Transfer of Structure
Aaron Lauve, Mitja Mastnak
We introduce the bicategory of bialgebras with coverings (which can be thought of as coalgebra-indexed families of morphisms), and provide a motivating application to the transfer…
On rigidity of Nichols algebras
Iván Angiono, Mikhail Kochetov, Mitja Mastnak
We study deformations of graded braided bialgebras using cohomological methods. In particular, we show that many examples of Nichols algebras, including the finite-dimensional ones…
Cohomology of finite dimensional pointed Hopf algebras
M. Mastnak, J. Pevtsova, P. Schauenburg +1
We prove finite generation of the cohomology ring of any finite dimensional pointed Hopf algebra, having abelian group of grouplike elements, under some mild restrictions on the gr…
Pointed and copointed Hopf algebras as cocycle deformations
L. Grunenfelder, M. Mastnak
We show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of each other…
Bialgebra cohomology, pointed Hopf algebras, and deformations
Mitja Mastnak, Sarah Witherspoon
We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism…