Manin matrices of type C: multi-parametric deformation

DOI10.1016/J.GEOMPHYS.2022.104523arXiv2203.01354WikidataQ114173550 ScholiaQ114173550MaRDI QIDQ6392638

Publication date: 2 March 2022

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.

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

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