| dc.contributor.author |
Misra K.C. |
|
| dc.contributor.author |
Pongprasert S. |
|
| dc.date.accessioned |
2022-03-10T13:17:12Z |
|
| dc.date.available |
2022-03-10T13:17:12Z |
|
| dc.date.issued |
2021 |
|
| dc.identifier.issn |
2714132 |
|
| dc.identifier.other |
2-s2.0-85107401377 |
|
| dc.identifier.uri |
https://ir.swu.ac.th/jspui/handle/123456789/17475 |
|
| dc.identifier.uri |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107401377&doi=10.1090%2fconm%2f768%2f15468&partnerID=40&md5=3a07c779307e1e4698b581c721165677 |
|
| dc.description.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. |
|
| dc.language |
en |
|
| dc.title |
Ultra-discretization of D(1) 6-geometric crystal at the spin node |
|
| dc.type |
Book Chapter |
|
| dc.rights.holder |
Scopus |
|
| dc.identifier.bibliograpycitation |
Contemporary Mathematics. Vol 768, No. (2021), p.271-304 |
|
| dc.identifier.doi |
10.1090/conm/768/15468 |
|