46 citations · 412 across the 48 of their papers we have counts for
49 papers
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…
Art of Unlocking
Oleg Ogievetsky, Senya Shlosman
We describe our recent results concerning the rigidity/unlockability properties of clusters of rigid bodies sliding over the unit sphere.
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.
Normal form for the walled Brauer algebra: construction and applications
D. Bulgakova, Y. Goncharov, O. Ogievetsky
We construct a normal form for the walled Brauer algebra, together with the reduction algorithm. We apply normal form to calculate the numbers of monomials in generators with minim…
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…