Talk page
Title:
Solutions to the quantum YB equation and related deformations
Speaker:
Abstract:
We present natural families of coordinate algebras of noncommutative Euclidean spaces and noncommutative products of Euclidean spaces. These coordinate algebras are quadratic ones associated with an R-matrix which is involutive and satisfies the quantum Yang–Baxter equation. As a consequence they enjoy a list of nice properties, being regular of finite global dimension. Notably, we have spherical manifolds, and noncommutative quater- nionic planes as well as noncommutative quaternionic tori. On these there is an action of the classical quaternionic torus SU(2) X SU(2) in parallel with the action of the torus U(1) X U(1) on a complex noncommutative torus.
Link:
Workshop: