Abstract
The problem of constructing the R-matrix is considered in the case of an integrable spin chain with symmetry group SL(n, C). A fairly complete study of general R-matrices acting in the tensor product of two continuous series representations of SL(n, C) is presented. On this basis. R-matrices are constructed that act in the tensor product of Verma modules (which are infinite-dimensional ...
Abstract
The problem of constructing the R-matrix is considered in the case of an integrable spin chain with symmetry group SL(n, C). A fairly complete study of general R-matrices acting in the tensor product of two continuous series representations of SL(n, C) is presented. On this basis. R-matrices are constructed that act in the tensor product of Verma modules (which are infinite-dimensional representations of the Lie algebra sl(n)), and also R-matrices acting in the tensor product of finite-dimensional representations of the Lie algebra sl(n).
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