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Extended T-systems

arXiv:1104.3094 · doi:10.1007/s00029-011-0083-x

Abstract

We use the theory of q-characters to establish a number of short exact sequences in the category of finite-dimensional representations of the quantum affine groups of types A and B. That allows us to introduce a set of 3-term recurrence relations which contains the celebrated T-system as a special case.

36 pages, latex; v2: version to appear in Selecta Mathematica