45 citations · 198 across the 112 of their papers we have counts for
5 papers · 1 filter
Centers, cocenters and simple quantum groups
Alexandru Chirvasitu
We define the notion of a (linearly reductive) center for a linearly reductive quantum group, and show that the quotient of a such a quantum group by its center is simple whenever…
Free unitary groups are (almost) simple
Alexandru Chirvasitu
We show that the quotients of Wang and Van Daele's universal quantum groups by their centers are simple in the sense that they have no normal quantum subgroups, thus providing the…
Categorical aspects of compact quantum groups
Alexandru Chirvasitu
We show that either of the two reasonable choices for the category of compact quantum groups is nice enough to allow for a plethora of universal constructions, all obtained "by abs…
Remarks on Quantum Symmetric Algebras
Alexandru Chirvasitu, Matthew Tucker-Simmons
We examine the quantum symmetric and exterior algebras of finite-dimensional \uqg-modules first systematically studied by Berenstein and Zwicknagl, and resolve some questions that…
Tensor functors between categories of quasi-coherent sheaves
Martin Brandenburg, Alexandru Chirvasitu
For a quasi-compact quasi-separated scheme X and an arbitrary scheme Y we show that the pullback construction implements an equivalence between the discrete category of morphisms Y…