Representations of quantum affine algebras of type $B_N$ | Zendy

Matheus Brito | Zendy; E. Mukhin | Zendy

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Representations of quantum affine algebras of type $B_N$

Author(s) -

Matheus Brito,

E. Mukhin

Publication year - 2015

Publication title -

transactions of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.798

H-Index - 100

eISSN - 1088-6850

pISSN - 0002-9947

DOI - 10.1090/tran/6735

Subject(s) - mathematics , affine transformation , type (biology) , pure mathematics , quantum affine algebra , quantum , affine representation , algebra over a field , algebra representation , affine lie algebra , current algebra , quantum mechanics , cellular algebra , ecology , physics , biology

We study finite-dimensional representations of quantum affine algebras of type $ B_N$. We show that a module is tame if and only if it is thin. In other words, the Cartan currents are diagonalizable if and only if all joint generalized eigenspaces have dimension one. We classify all such modules and describe their $ q$-characters. In some cases, the $ q$-characters are described by super standard Young tableaux of type $ (2N\vert 1)$

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