Monomial Crystals and Partition Crystals
Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, where the vertices are indexed by certain partitions. He showed that special cases of this construction agree with the Misra-Miwa realization and with Berg's ladder crystal. Here we...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146353 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Monomial Crystals and Partition Crystals / P. Tingley // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862578833147822080 |
|---|---|
| author | Tingley, P. |
| author_facet | Tingley, P. |
| citation_txt | Monomial Crystals and Partition Crystals / P. Tingley // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, where the vertices are indexed by certain partitions. He showed that special cases of this construction agree with the Misra-Miwa realization and with Berg's ladder crystal. Here we show that another special case is naturally isomorphic to a realization using Nakajima's monomial crystal.
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| first_indexed | 2025-11-26T17:52:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146353 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T17:52:19Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tingley, P. 2019-02-09T09:26:02Z 2019-02-09T09:26:02Z 2010 Monomial Crystals and Partition Crystals / P. Tingley // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 05E10 DOI:10.3842/SIGMA.2010.035 https://nasplib.isofts.kiev.ua/handle/123456789/146353 Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, where the vertices are indexed by certain partitions. He showed that special cases of this construction agree with the Misra-Miwa realization and with Berg's ladder crystal. Here we show that another special case is naturally isomorphic to a realization using Nakajima's monomial crystal. We thank Chris Berg, Matthew Fayers, David Hernandez and Monica Vazirani for interesting
 discussions. This work was supported by NSF grant DMS-0902649. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Monomial Crystals and Partition Crystals Article published earlier |
| spellingShingle | Monomial Crystals and Partition Crystals Tingley, P. |
| title | Monomial Crystals and Partition Crystals |
| title_full | Monomial Crystals and Partition Crystals |
| title_fullStr | Monomial Crystals and Partition Crystals |
| title_full_unstemmed | Monomial Crystals and Partition Crystals |
| title_short | Monomial Crystals and Partition Crystals |
| title_sort | monomial crystals and partition crystals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146353 |
| work_keys_str_mv | AT tingleyp monomialcrystalsandpartitioncrystals |