46 citations · 412 across the 48 of their papers we have counts for
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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…
Induced representations and traces for chains of affine and cyclotomic Hecke algebras
O. V. Ogievetsky, L. Poulain d'Andecy
Properties of relative traces and symmetrizing forms on chains of cyclotomic and affine Hecke algebras are studied. The study relies on a use of bases of these algebras which gener…
Half-quantum linear algebra
A. Isaev, O. Ogievetsky
The Cayley--Hamilton--Newton theorem for half-quantum matrices is proven.