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19952026
most citedIntegrability of three-particle evolution equations in QCD

222 citations · 3.1k across the 93 of their papers we have counts for

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nlin.SI2010★ 15 cited

Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices

S. E. Derkachov, A. N. Manashov

We study properties of transfer matrices in the sl(N) spin chain models. The transfer matrices with an infinite dimensional auxiliary space are factorized into the product of N com…

nlin.SI2008★ 20 cited

Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains

S. E. Derkachov, A. N. Manashov

We develop an approach for constructing the Baxter Q-operators for generic sl(N) spin chains. The key element of our approach is the possibility to represent a solution of the the…

nlin.SI2006★ 38 cited

R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain

Sergey E. Derkachov, Alexander N. Manashov

The problem of constructing the invariant solutions to the Yang-Baxter equation is considered. The solutions (-operators) for arbitrarily principal…

nlin.SI2006★ 10 cited

Baxter operators for the quantum sl(3) invariant spin chain

S. E. Derkachov, A. N. Manashov

The noncompact homogeneous sl(3) invariant spin chains are considered. We show that the transfer matrix with generic auxiliary space is factorized into the product of three sl(3) i…

nlin.SI2006★ 26 cited

Factorization of the transfer matrices for the quantum sl(2) spin chains and Baxter equation

S. E. Derkachov, A. N. Manashov

It is shown that the transfer matrices of homogeneous sl(2) invariant spin chains with generic spin, both closed and open, are factorized into the product of two operators. The lat…