4 papers
math.GT2018
A basic dimensional representation of Artin braid group , and a general Burau representation
Arash Pourkia
Burau representation of the Artin braid group remains as one of the very important representations for the braid group. Partly, because of its connections to the Alexander polynomi…
quant-ph2018
Solutions to the constant Yang-Baxter equation in all dimensions
Arash Pourkia
We will present solutions to the constant Yang-Baxter equation, in any dimension . More precisely, for any , we will create an infinite family of by matrices whic…
quant-ph2017
A note on "eight-vertex" universal quantum gates
Arash Pourkia
Many well-known and well-studied four by four universal quantum logic gates in the literature are of a specific form, the so called eight-vertex form \eqref{8vertexform} \cite{kauf…
math.QA2010
A Super Version of the Connes-Moscovici Hopf Algebra
Masoud Khalkhali, Arash Pourkia
We define a super version of the Connes-Moscovici Hopf algebra, . For that, we consider the supergroup of orientation preserving diffe…