67 citations · 435 across the 37 of their papers we have counts for
38 papers
Reduced qKZ equation and genuine qKZ equation
Alexander V. Razumov
The work is devoted to the study of quantum integrable systems associated with quantum loop algebras. The recently obtained equation for the zero temperature inhomogeneous reduced…
Reduced qKZ equation: general case
A. Klümper, Kh. S. Nirov, A. V. Razumov
We use the quantum group approach for the investigation of correlation functions of integrable vertex models and spin chains. For the inhomogeneous reduced density matrix in case o…
Vertex Models and Spin Chains in Formulas and Pictures
Khazret S. Nirov, Alexander V. Razumov
We systematise and develop a graphical approach to the investigations of quantum integrable vertex statistical models and the corresponding quantum spin chains. The graphical forms…
Highest -Weight Representations and Functional Relations
Khazret S. Nirov, Alexander V. Razumov
We discuss highest -weight representations of quantum loop algebras and the corresponding functional relations between integrability objects. In particular, we compare the pr…
Oscillator versus prefundamental representations II. Arbitrary higher ranks
H. Boos, F. Göhmann, A. Klümper +2
We find the -weights and the -weight vectors for the highest -weight -oscillator representations of the positive Borel subalgebra of the quantum loop algebra $…
Quantum groups, Verma modules and -oscillators: General linear case
Kh. S. Nirov, A. V. Razumov
The Verma modules over the quantum groups for arbitrary values of are analysed. The explicit expressions for the action of the generators o…