Extended T-systems

Mukhin, Evgeny and Young, Charles A. S. (2012) Extended T-systems. Selecta Mathematica, 18 (3). pp. 591-631. ISSN 1420-9020

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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