28 citations · 28 across the 3 of their papers we have counts for
3 papers
math.QA2001
Bethe's states for generalized XXX and XXZ models
Anatol N. Kirillov, Nadejda Liskova
For any rational number we prove an identity of Rogers-Ramanujan-Gordon-Andrews' type. Bijection between the space of states for XXZ model and that of XXX model is const…
hep-th1994★ 28 cited
Completeness of Bethe's states for generalized model
Anatol N. Kirillov, Nadejda A. Liskova
We study the Bethe ansatz equations for a generalized model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and…
hep-th1992
Clebch-Gordan and Racah-Wigner coefficients for
Nadejda A. Liskova, Anatol N. Kirillov
The Clebsch-Gordan and Racah-Wigner coefficients for the positive (or negative) discrete series of irreducible representations for the noncompact form of the algebra…