45 citations · 198 across the 112 of their papers we have counts for
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Quantum Hopf rigidity in symmetric monoidal categories
Alexandru Chirvasitu
We prove that a coaction of a Hopf algebra on another preserving the latter's associative-algebra structure and comultiplication automatically also preserves the counit, antipode,…
Associative/Lie radical (co)invariance under tracial (co)actions
Alexandru Chirvasitu
We prove a number of Jacobson/solvable/nilpotent-radical (co)invariance results for finite-dimensional associative or Lie (co)module-algebras over Hopf algebras , provided the c…
A new characterization of Kac-type discrete quantum groups
Alexandru Chirvasitu, Andre Kornell
We obtain two related characterizations of discrete quantum groups and discrete quantum groups of Kac type as allegorical group objects in the symmetric monoidal dagger category of…
Quantum-rigid random quantum graphs
Alexandru Chirvasitu, Piotr M. Sołtan, Mateusz Wasilewski
A quantum graph housed by a matrix algebra can be encoded as an operator system . There are two sensible notions of…
Polynomial identities and Azumaya loci for rational quantum spheres
Alexandru Chirvasitu
We prove a number of structure and isomorphism results concerning the non-commutative Natsume-Olsen spheres deformed along a skew-symmetric matrix $θ\in \math…
Generically-constrained quantum isotropy
Alexandru Chirvasitu
Let be a finite-dimensional unitary representation of a compact quantum group and denote by the isotropy subgroup of a linear subspace rega…