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math.QA2005★ 10 cited
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…
math.QA2005★ 14 cited
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.
math.QA2004★ 11 cited
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…