12 citations · 86 across the 29 of their papers we have counts for
23 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…
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…
Non-commutative Geometry of Homogenized Quantum
Alex Chirvasitu, S. Paul Smith, Liang Ze Wong
This paper examines the relationship between certain non-commutative analogues of projective 3-space, , and the quantized enveloping algebras .…
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…