566 citations · 1.1k across the 45 of their papers we have counts for
45 papers
On calculation of generating functions of generalized Chebyshev polynomials in several variables
E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov
We propose a new method of calculation of generating functions of Chebyshev polynomials in several variables associated with root systems of simple Lie algebras. We obtain the gene…
Deformed Richardson-Gaudin model
P. Kulish, A. Stolin, H. Johannesson
The Richardson-Gaudin model describes strong pairing correlations of fermions confined to a finite chain. The integrability of the Hamiltonian allows for its eigenstates to be cons…
Temperley-Lieb R-matrices from generalized Hadamard matrices
Jean Avan, Tiago Fonseca, Luc Frappat +3
New sets of rank n-representations of Temperley-Lieb algebra TL_N(q) are constructed. They are characterized by two matrices obeying a generalization of the complex Hadamard proper…
Tensor powers for non-simply laced Lie Algebras case
Petr P. Kulish, Vladimir D. Lyakhovsky, Olga P. Postnova
We study the decomposition problem for tensor powers of -fundamental modules. To solve this problem singular weight technique and injection fan algorithms are applied. Propert…
Reflection -matrices related to Temperley-Lieb -matrices
Jean Avan, Petr P. Kulish, Genevieve Rollet
The general solutions of the reflection equation associated with Temperley-Lieb -matrices are constructed. Their parametrization is defined and the Hamiltonians of corresponding…
Twisting adjoint module algebras
Petr Kulish, Andrey Mudrov
Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on…