Abstract
AbstractThe extended T-systems are a number of relations in the Grothendieck ring of the category of finite-dimensional modules over the quantum affine algebras of types $$A_n^{(1)}$$
A
n
(
1
)
and $$B_n^{(1)}$$
B
n
(
1
)
, introduced by Mukhin and Young as a generalization of the T-systems. In this paper we establish the extended T-systems for more general modules, which are constructed from an arbitrary strong duality datum of type A. Our approach does not use the theory of q-characters, and so also provides a new proof to the original Mukhin–Young’s extended T-systems.
Funder
Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
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