Nonrecursive canonical basis computations for low rank Kashiwara crystals of type A
For symmetric Kashiwara crystals of type $A$ and rank $e=2$, and for the canonical basis elements that we call external, corresponding to weights on the outer skin of the Kashiwara crystal, we construct the canonical basis elements in a non-recursive manner. In particular, for a symmetric crystal wi...
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| creator | Amara-Omari, Ola Schaps, Mary |
| description | For symmetric Kashiwara crystals of type $A$ and rank $e=2$, and for the
canonical basis elements that we call external, corresponding to weights on the
outer skin of the Kashiwara crystal, we construct the canonical basis elements
in a non-recursive manner. In particular, for a symmetric crystal with
$\Lambda=a \Lambda_0+a \Lambda_1$, we give formulae for the canonical basis
elements for all the $e$-regular multipartitions with defects either $k(a-k)$
or $k(a-k)+2a$, for $0 \leq k \leq a$. |
| doi_str_mv | 10.48550/arxiv.2007.14650 |
| format | Article |
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canonical basis elements that we call external, corresponding to weights on the
outer skin of the Kashiwara crystal, we construct the canonical basis elements
in a non-recursive manner. In particular, for a symmetric crystal with
$\Lambda=a \Lambda_0+a \Lambda_1$, we give formulae for the canonical basis
elements for all the $e$-regular multipartitions with defects either $k(a-k)$
or $k(a-k)+2a$, for $0 \leq k \leq a$.</description><identifier>DOI: 10.48550/arxiv.2007.14650</identifier><language>eng</language><subject>Mathematics - Representation Theory</subject><creationdate>2020-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2007.14650$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2007.14650$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Amara-Omari, Ola</creatorcontrib><creatorcontrib>Schaps, Mary</creatorcontrib><title>Nonrecursive canonical basis computations for low rank Kashiwara crystals of type A</title><description>For symmetric Kashiwara crystals of type $A$ and rank $e=2$, and for the
canonical basis elements that we call external, corresponding to weights on the
outer skin of the Kashiwara crystal, we construct the canonical basis elements
in a non-recursive manner. In particular, for a symmetric crystal with
$\Lambda=a \Lambda_0+a \Lambda_1$, we give formulae for the canonical basis
elements for all the $e$-regular multipartitions with defects either $k(a-k)$
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canonical basis elements that we call external, corresponding to weights on the
outer skin of the Kashiwara crystal, we construct the canonical basis elements
in a non-recursive manner. In particular, for a symmetric crystal with
$\Lambda=a \Lambda_0+a \Lambda_1$, we give formulae for the canonical basis
elements for all the $e$-regular multipartitions with defects either $k(a-k)$
or $k(a-k)+2a$, for $0 \leq k \leq a$.</abstract><doi>10.48550/arxiv.2007.14650</doi><oa>free_for_read</oa></addata></record> |
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| title | Nonrecursive canonical basis computations for low rank Kashiwara crystals of type A |
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