43 citations · 165 across the 11 of their papers we have counts for
11 papers
Lectures on Quantum Groups and Yang-Baxter Equations
A. P. Isaev
The principles of the theory of quantum groups are reviewed from the point of view of the possibility of their use for deformations of symmetries in physical models. The R-matrix a…
Half-quantum linear algebra
A. Isaev, O. Ogievetsky
The Cayley--Hamilton--Newton theorem for half-quantum matrices is proven.
On quantization of r-matrices for Belavin-Drinfeld Triples
A. P. Isaev, O. Ogievetsky
We suggest a formula for quantum universal -matrices corresponding to quasitriangular classical -matrices classified by Belavin and Drinfeld for all simple Lie algebras. The…
Standard Complex for Quantum Lie Algebras
C. Burdik, A. P. Isaev, O. Ogievetsky
For a quantum Lie algebra , let be its exterior extension (the algebra is canonically defined). We introduce a differential on the exterior extension algeb…
Quantum matrix algebra for the SU(n) WZNW model
P. Furlan, L. K. Hadjiivanov, A. P. Isaev +3
The zero modes of the chiral SU(n) WZNW model give rise to an intertwining quantum matrix algebra A generated by an n x n matrix a=(a^i_α) (with noncommuting entries) and by ration…
Q-multilinear Algebra
A. Isaev, O. Ogievetsky, P. Pyatov
The Cayley-Hamilton-Newton theorem - which underlies the Newton identities and the Cayley-Hamilton identity - is reviewed, first, for the classical matrices with commuting entries,…