Path model for quantum loop modules of fundamental type

2003/07/03 by Jacob Greenstein, Greenstein, Jacob, Polyxeni Lamprou +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #math.QA

paper · pdf · doi:10.48550/arxiv.math/0307049

arxiv created 2003/07/03 · openalex publication_date 2003/07/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a certain class of simple integrable modules of level zero over a quantised affine algebra, we establish the existence of a pseudo-crystal basis and show that such a basis admits a combinatorial realisation in the framework of the path model of Littelmann.

Related

• Quantum loop modules
• Path Model for a Level Zero Extremal Weight Module over a Quantum Affine Algebra
• Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras
• A combinatorial model for q-characters of fundamental modules of type D_n
• Littelmann's path crystal and combinatorics of certain integrable slℓ+1 modules of level zero