On the structure of tensor products of the finite-dimensional representations of quantum affine \mathfraksl_n

2025/01/13 by Henrik Juergens, Juergens, Henrik
Computer Science · Mathematics · #17B37 (Primary) 81R50 #81R12 (Secondary) #Algebraic structures and combinatorial models #Coding theory and cryptography #Commutative Algebra and Its Applications #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2501.14801

openalex publication_date 2025/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review some important facts about the structure of tensor products of finite dimensional representations of quantum affine algebras. This is done from the elementary standpoint of the representation theory of semisimple Lie algebras in the scope of a masters thesis. We set the focus on drawing the line to the finite dimensional representation theory of quantum affine \mathfraksl_n, the theory of q-characters, and introduce the so called snake modules together with their character formula.

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