Crystallized structure for level 0 part of modified quantum affine algebra

1995/06/26 by Toshiki Nakashima, Nakashima, Toshiki
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9506023

39 pages, LaTex

arxiv created 1995/06/26 · openalex publication_date 1995/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Crystal base of the level 0 part of the modified quantum affine algebra \widetilde U_q(\widehatsl₂)₀ is given by path. Weyl group actions, extremal vectors and crystal structure of all irreducible components are described explicitly.

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