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Manin matrices of type C: Multi-parametric deformation

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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. (c) 2022 Elsevier B.V. All rights reserved.

Manin matricesQuadratic algebrasBrauer algebraMulti-parametric deformationQUANTUMALGEBRAS

Silantyev, Alexey

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Joint Inst Nucl Res

2022

Journal of geometry and physics

Journal of geometry and physics

SCI
ISSN:0393-0440
年,卷(期):2022.177
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