Matrix Capelli identities related to reflection equation algebra

DOI10.1016/j.geomphys.2022.104606zbMath1492.81066arXiv2207.02034OpenAlexW4283218719WikidataQ113873225 ScholiaQ113873225MaRDI QIDQ2159365

Varvara Petrova, Dimitri Gurevich, Pavel A. Saponov

Publication date: 29 July 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.02034

zbMATH Keywords

quantum doublequantum partial derivativesquantum determinantmatrix Capelli identitiesquantum elementary symmetric polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (1)

Quantum vector fields via quantum doubles and their applications

Cites Work

• Braided Weyl algebras and differential calculus on \(U(u(2))\)
• A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
• Quantum immanants and higher Capelli identities
• Determinants in quantum matrix algebras and integrable systems
• From reflection equation algebra to braided Yangians

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