Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-10-10
Zapiski Nauchn. Semin. POMI (S-Petersburg) 215 (1994) 163-177
Physics
High Energy Physics
High Energy Physics - Theory
An English version of the author's article which recently appeared in Zapiski Nauvhnyh Seminarov POMI (S-Petersburg) and is ba
Scientific paper
The transfer matrix of the 6-vertex model of two-dimensional statistical physics commutes with many (more complicated) transfer matrices, but these latter, generally, do not commute between each other. The studying of their action in the eigenspaces of the 6-vertex model transfer matrix becomes possible due to a ``multiplicative property'' of the {\em vacuum curves} of $\cal L$-operators from which transfer matrices are built. This approach allowed, in particular, to discover for the first time the fact that the dimensions of abovementioned eigenspaces must be multiples of (big enough) degrees of the number 2.
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