14 citations · 40 across the 7 of their papers we have counts for
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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…
The GL(m|n) type quantum matrix algebras II: the structure of the characteristic subalgebra and its spectral parameterization
Dimitri Gurevich, Pavel Pyatov, Pavel Saponov
In our previous paper math.QA/0412192 the Cayley-Hamilton identity for the GL(m|n) type quantum matrix algebra was obtained. Here we continue investigation of that identity. We der…
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.
Geometry of non-commutative orbits related to Hecke symmetries
D. Gurevich, P. Saponov
To some braiding R of Hecke type (a Hecke symmetry) we put into correspondence an associative algebra called the modified Reflection Equation Algebra (mREA). We construct a series…
q-Index on braided non-commutative spheres
D. Gurevich, R. Leclercq, P. Saponov
To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we assign algebras called braided non-commutative spheres. For any such algebra, we introduce and compute a q-an…