2 papers
math.QA2025
Cayley--Hamilton Theorem for Orthogonal Quantum Matrix Algebras
Oleg Ogievetsky, Pavel Pyatov
For a family of the orthogonal type Quantum Matrix algebras we establish an analogue of the Cayley--Hamilton theorem. The form of the Cayley-Hamilton identity is different i…
math.QA2025
Reciprocal relations for orthogonal quantum matrices
Pavel Pyatov, Oleg Ogievetsky
For the family of the orthogonal quantum matrix algebras we investigate the structure of their characteristic subalgebras -- special commutative subalgebras, which for the subfamil…