Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/17475
ชื่อเรื่อง: Ultra-discretization of D(1) 6-geometric crystal at the spin node
ผู้แต่ง: Misra K.C.
Pongprasert S.
วันที่เผยแพร่: 2021
บทคัดย่อ: Let g be an affine Lie algebra with index set I = {0, 1, 2, ···,n}. It is conjectured in [12] that for each Dynkin node k ∈ I\{0} theaffineLiealgebra g has a positive geometric crystal whose ultra-discretization is isomorphic to the limit of a coherent family of perfect crystals for the Langland dual gL.In this paper we show that at the spin node k = 6, the family of perfect crystals given in [6] form a coherent family and show that its limit B6,∞ is isomorphic to the ultra-discretization of the positive geometric crystal we constructed in [18] for the affine Lie algebra D(1) 6 which proves the conjecture in this case. © 2021 American Mathematical Society.
URI: https://ir.swu.ac.th/jspui/handle/123456789/17475
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107401377&doi=10.1090%2fconm%2f768%2f15468&partnerID=40&md5=3a07c779307e1e4698b581c721165677
ISSN: 2714132
Appears in Collections:Scopus 1983-2021

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