11 citations · 21 across the 3 of their papers we have counts for
6 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…
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…
Schur-Weyl Categories and Non-quasiclassical Weyl Type Formula
D. Gurevich, Z. Mriss
To a vector space V equipped with a non-quasiclassical involutary solution of the quantum Yang-Baxter equation and a partition , we associate a vector space $\Vl$ and compute it…
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…
Quantum line bundles via Cayley-Hamilton identity
D. Gurevich, P. Saponov
As was shown in \cite{GPS} the matrix whose entries are generators of the so-called reflection equation algebra is subject to some polynomial identity lookin…