14 citations · 35 across the 5 of their papers we have counts for
8 papers
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…
Quantization of Physical Models and Non-Commutative Geometry
P. A. Saponov
Application of the noncommutative geometry to several physical models is considered.
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…
Quantum Sphere via Reflection Equation Algebra
D. Gurevich, P. Saponov
Quantum sphere is introduced as a quotient of the so-called Reflection Equation Algebra. This enables us to construct some line bundles on it by means of the Cayley-Hamilton identi…