44 citations · 110 across the 20 of their papers we have counts for
8 papers · 1 filter
Modular properties of elliptic algebras
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
Fix a pair of relatively prime integers , and a point , where denotes the upper-half complex plane, and let ${{a\;\,b…
Elliptic R-matrices and Feigin and Odesskii's elliptic algebras
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
The algebras introduced by Feigin and Odesskii as generalizations of the 4-dimensional Sklyanin algebras form a family of quadratic algebras parametrized by coprime…
Projective discrete modules over profinite groups
Alexandru Chirvasitu, Ryo Kanda
We show that the category of discrete modules over an infinite profinite group has no non-zero projective objects and does not satisfy Ab4*. We also prove the same types of results…
The characteristic variety for Feigin and Odesskii's elliptic algebras
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
This paper examines an algebraic variety that controls an important part of the structure and representation theory of the algebra introduced by Feigin and Odesskii.…
Feigin and Odesskii's elliptic algebras
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
We study the elliptic algebras introduced by Feigin and Odesskii as a generalization of Sklyanin algebras. They form a family of quadratic algebras parametrized by c…
Construction of Grothendieck categories with enough compressible objects using colored quivers
Ryo Kanda
We introduce a new method to construct a Grothendieck category from a given colored quiver. This is a variant of the construction used to prove that every partially ordered set ari…
Integrality of noetherian Grothendieck categories
Ryo Kanda
We introduce the notion of integrality of Grothendieck categories as a simultaneous generalization of the primeness of noncommutative noetherian rings and the integrality of locall…
Flat families of point schemes for connected graded algebras
Alex Chirvasitu, Ryo Kanda
We study truncated point schemes of connected graded algebras as families over the parameter space of varying relations for the algebras, proving that the families are flat over th…