2019/11/11 by Kailash C. Misra, Misra, Kailash C., Suchada Pongprasert +1
Mathematics · Physics and Astronomy · #17B10 #17B37 #17B67 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:17B37 #msc:17B67
paper · pdf · doi:10.48550/arxiv.1911.04484
19 pages. arXiv admin note: substantial text overlap with arXiv:1812.01651
arxiv created 2019/11/11 · openalex publication_date 2019/11/11 · arxiv updated 2019/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let \mathfrakg be an affine Lie algebra with index set I = \0, 1, 2, ⋯ , n\. It is conjectured that for each Dynkin node k ∈ I ∖ \0\ the affine Lie algebra \mathfrakg has a positive geometric crystal. In this paper we construct a positive geometric crystal for the affine Lie algebra D6(1) corresponding to the Dynkin spin node k= 6.