14 citations · 23 across the 5 of their papers we have counts for
5 papers
On Symmetrizers in Quantum Matrix Algebras
Dmitry Gurevich, Pavel Saponov, Vladimir Sokolov
In this note we are dealing with a particular class of quadratic algebras -- the so-called quantum matrix algebras. The well-known examples are the algebras of quantized functions…
Quantum Lie algebras via modified Reflection Equation Algebra
D. I. Gurevich, P. A. Saponov
We discuss the consistency of the axioms which the definition of quantum Lie algebras is usually based on.
Representation theory of (modified) Reflection Equation Algebra of GL(m|n) type
D. Gurevich, P. Pyatov, P. Saponov
Let R: V x V -> V x V be a Hecke type solution of the quantum Yang-Baxter equation (a Hecke symmetry). Then, the Hilbert-Poincre' series of the associated R-exterior algebra of the…
Cayley-Hamilton theorem for quantum matrix algebras of GL(m|n) type
D. I. Gurevich, P. N. Pyatov, P. A. Saponov
The classical Cayley-Hamilton identities are generalized to quantum matrix algebras of the GL(m|n) type.
Hecke symmetries and characteristic relations on Reflection Equation algebras
D. I. Gurevich, P. N. Pyatov, P. A. Saponov
We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Ne…