| Autor: |
Gurevich, Dimitri, Petrova, Varvara, Saponov, Pavel |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Journal of Geometry and Physics, 179 (2022) 104606 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.geomphys.2022.104606 |
| Popis: |
By using the notion of a quantum double we introduce analogs of partial derivatives on a Reflection Equation algebra, associated with a Hecke symmetry of GL(N) type. We construct the matrix L=MD, where M is the generating matrix of the Reflection Equation algebra and D is the matrix composed of the quantum partial derivatives and prove that the matrices M, D and L satisfy a matrix identity, called the matrix Capelli one. Upon applying the quantum trace, it becomes a scalar relation, which is a far-reaching generalization of the classical Capelli identity. Also, we get a generalization of the some higher Capelli identities defined by A.Okounkov. |
| Databáze: |
arXiv |
| Externí odkaz: |
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