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REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS OF TYPE B-N

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Author(s):
Brito, Matheus ; Mukhin, Evgeny
Total Authors: 2
Document type: Journal article
Source: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 369, n. 4, p. 32-pg., 2017-04-01.
Abstract

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 vertical bar 1). (AU)

FAPESP's process: 12/04656-5 - Minimal affinizations of types G2 and D4
Grantee:Matheus Batagini Brito
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 10/19458-9 - Classification and Structure of certain Representations of Quantum Affine Algebras
Grantee:Matheus Batagini Brito
Support Opportunities: Scholarships in Brazil - Doctorate