Matrix Capelli identities related to reflection equation algebra
نویسندگان
چکیده
By using the notion of a quantum double we introduce analogs partial derivatives on Reflection Equation algebra, associated with Hecke symmetry GL(N) type. We construct matrix L=MD, where M is generating algebra and D composed prove that matrices M, L satisfy identity, called Capelli one. Upon applying trace, it becomes scalar relation, which far-reaching generalization classical identity. Also, get some higher identities defined by A.Okounkov.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2022
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2022.104606