85 citations · 616 across the 42 of their papers we have counts for
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Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them
Oleg Ogievetsky, Pavel Pyatov
For families of orthogonal and symplectic types quantum matrix (QM-) algebras, we derive corresponding versions of the Cayley-Hamilton theorem. For a wider family of Birman-Murakam…
On R-matrix representations of Birman-Murakami-Wenzl algebras
A. P. Isaev, O. V. Ogievetsky, P. N. Pyatov
We show that to every local representation of the Birman-Murakami-Wenzl algebra defined by a skew-invertible R-matrix one can associate pairings $V\otimes V\…
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.