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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

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On a two dimensional system associated with the complex of the solutions of the Tetrahedron equation
by
S. M. Sergeev
Branch Insitute for Nuclear Physics, Protvino, Russia

A sort of two dimensional linear auxiliary problem for the complex of 3D R - operators associated with the Zamolodchikov - Bazhanov - Baxter statistical model is proposed. This problem resembles the problem of the local Yang - Baxter equation but does not coincide with it. The formulation of the auxiliary problem admits a notion of a ``fusion'', and usual local Yang - Baxter equation appears among other results of this ``fusion''.

Date received: January 16, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaw-05.