85 citations · 616 across the 42 of their papers we have counts for
21 papers · 1 filter
Iterative construction of the R-matrices in arbitrary dimensions
Petr Pivovarov, Pavel Pyatov
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matri…
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…
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…
Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras
O. Ogievetsky, P. Pyatov
We establish the analogue of the Cayley--Hamilton theorem for the quantum matrix algebras of the symplectic type.
Quantum Matrix Algebras of BMW type: Structure of the Characteristic Subalgebra
Oleg Ogievetsky, Pavel Pyatov
A notion of quantum matrix (QM-) algebra generalizes and unifies two famous families of algebras from the theory of quantum groups: the RTT-algebras and the reflection equation (RE…
On construction of unitary quantum group differential calculus
Pavel Pyatov
We develop a construction of the unitary type anti-involution for the quantized differential calculus over in the case . To this end, we consider a joint associati…