45 citations · 198 across the 112 of their papers we have counts for
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Coassociative structures on self-injective algebras
Alexandru Chirvasitu
For general finite-dimensional self-injective algebra we construct a family of injective coassociative coproducts , all -bimodule morphisms. In particular s…
Prescribed duality dynamics in comodule categories
Alexandru Chirvasitu
We prove that there exist Hopf algebras with surjective, non-bijective antipode which admit no non-trivial morphisms from Hopf algebras with bijective antipode; in particular, they…
Naturality and innerness for morphisms of compact groups and (restricted) Lie algebras
Alexandru Chirvasitu
An extended derivation (endomorphism) of a (restricted) Lie algebra is an assignment of a derivation (respectively) of for any (restricted) Lie morphism , funct…
Free limits of free algebras
Alexandru Chirvasitu, Tao Hong
Consider a diagram of algebraic systems, where denotes the free object on generators and the connecting maps send the extra generator to s…
A geometric invariant of -dimensional subspaces of matrices
Alex Chirvasitu, S. Paul Smith, Michaela Vancliff
Let be an algebraically closed field and the Grassmannian of 2-planes in . We associate to each 6-dimensional subspace of the space of 4x4 matrices ov…
Cosemisimple Hopf algebras are faithfully flat over Hopf subalgebras
Alexandru Chirvasitu
The question of whether or not a Hopf algebra is faithfully flat over a Hopf subalgebra has received positive answers in several particular cases: when (or more general…