Publication:
Ultra-discretization of D(1) 6-geometric crystal at the spin node

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Issued Date

2021

Resource Type

Book Chapter

Language

eng

File Type

application/pdf

ISSN

2714132

DOI

10.1090/conm/768/15468

Other identifier(s)

2-s2.0-85107401377

Rights Holder(s)

มหาวิทยาลัยศรีนครินทรวิโรฒ

Bibliographic Citation

Contemporary Mathematics. Vol 768, No. (2021), p.271-304

Suggested Citation

Misra K.C., Pongprasert S. Ultra-discretization of D(1) 6-geometric crystal at the spin node. Contemporary Mathematics. Vol 768, No. (2021), p.271-304. doi:10.1090/conm/768/15468 Retrieved from: https://hdl.handle.net/20.500.14740/8043

Title

Ultra-discretization of D(1) 6-geometric crystal at the spin node

Author(s)

Misra K.C.
 Pongprasert S.

Abstract

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.

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URI

https://hdl.handle.net/20.500.14740/8043

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Scopus: Year 1983-2021

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