Manin matrices of type C: multi-parametric deformation
Quantum Algebra
2022-06-01 v2 Mathematical Physics
math.MP
Abstract
We constructed a multi-parametric deformation of the Brauer algebra representation related with the symplectic Lie algebras. The notion of Manin matrix of type C was generalised to the case of the multi-parametric deformation by using this representation and corresponding quadratic algebras. We derived pairing operators for these quadratic algebras and minors for the considered Manin matrices. The rank of pairing operators and dimensions of components of quadratic algebras were calculated.
Cite
@article{arxiv.2203.01354,
title = {Manin matrices of type C: multi-parametric deformation},
author = {A. Silantyev},
journal= {arXiv preprint arXiv:2203.01354},
year = {2022}
}
Comments
13 pages