Rigged configurations of type $D_4^{(3)}$ and the filling map
We give a statistic preserving bijection from rigged configurations to a tensor product of Kirillov–Reshetikhin crystals $\otimes_{i=1}^{N}B^{1,s_i}$ in type $D_4^{(3)}$ by using virtualization into type $D_4^{(1)}$. We consider a special case of this bijection with $B=B^{1,s}$, and we obtain the so...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2015-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/2494/pdf |
| _version_ | 1797270186961666048 |
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| author | Travis Scrimshaw |
| author_facet | Travis Scrimshaw |
| author_sort | Travis Scrimshaw |
| collection | DOAJ |
| description | We give a statistic preserving bijection from rigged configurations to a tensor product of Kirillov–Reshetikhin crystals $\otimes_{i=1}^{N}B^{1,s_i}$ in type $D_4^{(3)}$ by using virtualization into type $D_4^{(1)}$. We consider a special case of this bijection with $B=B^{1,s}$, and we obtain the so-called Kirillov–Reshetikhin tableaux model for the Kirillov–Reshetikhin crystal. |
| first_indexed | 2024-04-25T02:00:16Z |
| format | Article |
| id | doaj.art-0d1528e17d9b4924b854a735340099e2 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:00:16Z |
| publishDate | 2015-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-0d1528e17d9b4924b854a735340099e22024-03-07T15:01:26ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502015-01-01DMTCS Proceedings, 27th...Proceedings10.46298/dmtcs.24942494Rigged configurations of type $D_4^{(3)}$ and the filling mapTravis Scrimshaw0https://orcid.org/0000-0003-0326-4442University of California [Davis]We give a statistic preserving bijection from rigged configurations to a tensor product of Kirillov–Reshetikhin crystals $\otimes_{i=1}^{N}B^{1,s_i}$ in type $D_4^{(3)}$ by using virtualization into type $D_4^{(1)}$. We consider a special case of this bijection with $B=B^{1,s}$, and we obtain the so-called Kirillov–Reshetikhin tableaux model for the Kirillov–Reshetikhin crystal.https://dmtcs.episciences.org/2494/pdfrigged configurationkirillov–reshetikhin crystalbijection[info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Travis Scrimshaw Rigged configurations of type $D_4^{(3)}$ and the filling map Discrete Mathematics & Theoretical Computer Science rigged configuration kirillov–reshetikhin crystal bijection [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Rigged configurations of type $D_4^{(3)}$ and the filling map |
| title_full | Rigged configurations of type $D_4^{(3)}$ and the filling map |
| title_fullStr | Rigged configurations of type $D_4^{(3)}$ and the filling map |
| title_full_unstemmed | Rigged configurations of type $D_4^{(3)}$ and the filling map |
| title_short | Rigged configurations of type $D_4^{(3)}$ and the filling map |
| title_sort | rigged configurations of type d 4 3 and the filling map |
| topic | rigged configuration kirillov–reshetikhin crystal bijection [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/2494/pdf |
| work_keys_str_mv | AT travisscrimshaw riggedconfigurationsoftyped43andthefillingmap |