Stability of canonical bases of irreducible finite type of real rank one
It has been known since their birth in Bao and Wang’s work that the ı \imath canonical bases of ı \imath quantum groups are not stable in general. In the author’s previous work, the stability of ı \imath canonical bases of certain quasi-split types turned out to be closely related to the theory of ı...
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| Veröffentlicht in: | Representation theory 2023-03, Vol.27 (1), p.1-29 |
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| container_title | Representation theory |
| container_volume | 27 |
| creator | Watanabe, Hideya |
| description | It has been known since their birth in Bao and Wang’s work that the
ı
\imath
canonical bases of
ı
\imath
quantum groups are not stable in general. In the author’s previous work, the stability of
ı
\imath
canonical bases of certain quasi-split types turned out to be closely related to the theory of
ı
\imath
crystals. In this paper, we prove the stability of
ı
\imath
canonical bases of irreducible finite type of real rank
1
1
, for which the theory of
ı
\imath
crystals has not been developed, by means of global and local crystal bases. |
| doi_str_mv | 10.1090/ert/639 |
| format | Article |
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ı
\imath
canonical bases of
ı
\imath
quantum groups are not stable in general. In the author’s previous work, the stability of
ı
\imath
canonical bases of certain quasi-split types turned out to be closely related to the theory of
ı
\imath
crystals. In this paper, we prove the stability of
ı
\imath
canonical bases of irreducible finite type of real rank
1
1
, for which the theory of
ı
\imath
crystals has not been developed, by means of global and local crystal bases.</description><identifier>ISSN: 1088-4165</identifier><identifier>EISSN: 1088-4165</identifier><identifier>DOI: 10.1090/ert/639</identifier><language>eng</language><ispartof>Representation theory, 2023-03, Vol.27 (1), p.1-29</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c216t-ff6ea70c22c62c60170ea58babd18ac331fb0d1919fe6b4732906eea0fa74a323</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids></links><search><creatorcontrib>Watanabe, Hideya</creatorcontrib><title>Stability of canonical bases of irreducible finite type of real rank one</title><title>Representation theory</title><description>It has been known since their birth in Bao and Wang’s work that the
ı
\imath
canonical bases of
ı
\imath
quantum groups are not stable in general. In the author’s previous work, the stability of
ı
\imath
canonical bases of certain quasi-split types turned out to be closely related to the theory of
ı
\imath
crystals. In this paper, we prove the stability of
ı
\imath
canonical bases of irreducible finite type of real rank
1
1
, for which the theory of
ı
\imath
crystals has not been developed, by means of global and local crystal bases.</description><issn>1088-4165</issn><issn>1088-4165</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNpNkEFLxDAQhYMouK7iX8jNU92Zpk3aoyzqCgse1HOZpBOI1nZJ4qH_3i56WHjwHu8Nc_iEuEW4R2hhwzFvtGrPxAqhaYoKdX1-ki_FVUqfAIimNiuxe8tkwxDyLCcvHY3TGBwN0lLidKxCjNz_uGAHlj6MIbPM84GPU-TlMNL4JaeRr8WFpyHxzb-vxcfT4_t2V-xfn1-2D_vClahz4b1mMuDK0ulFgAaY6saS7bEhpxR6Cz222HrWtjKqbEEzE3gyFalSrcXd318Xp5Qi--4QwzfFuUPojgC6BUC3AFC_jFtOoA</recordid><startdate>20230306</startdate><enddate>20230306</enddate><creator>Watanabe, Hideya</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230306</creationdate><title>Stability of canonical bases of irreducible finite type of real rank one</title><author>Watanabe, Hideya</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c216t-ff6ea70c22c62c60170ea58babd18ac331fb0d1919fe6b4732906eea0fa74a323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Watanabe, Hideya</creatorcontrib><collection>CrossRef</collection><jtitle>Representation theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Watanabe, Hideya</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability of canonical bases of irreducible finite type of real rank one</atitle><jtitle>Representation theory</jtitle><date>2023-03-06</date><risdate>2023</risdate><volume>27</volume><issue>1</issue><spage>1</spage><epage>29</epage><pages>1-29</pages><issn>1088-4165</issn><eissn>1088-4165</eissn><abstract>It has been known since their birth in Bao and Wang’s work that the
ı
\imath
canonical bases of
ı
\imath
quantum groups are not stable in general. In the author’s previous work, the stability of
ı
\imath
canonical bases of certain quasi-split types turned out to be closely related to the theory of
ı
\imath
crystals. In this paper, we prove the stability of
ı
\imath
canonical bases of irreducible finite type of real rank
1
1
, for which the theory of
ı
\imath
crystals has not been developed, by means of global and local crystal bases.</abstract><doi>10.1090/ert/639</doi><tpages>29</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1088-4165 |
| ispartof | Representation theory, 2023-03, Vol.27 (1), p.1-29 |
| issn | 1088-4165 1088-4165 |
| language | eng |
| recordid | cdi_crossref_primary_10_1090_ert_639 |
| source | American Mathematical Society Publications (Freely Accessible); American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals |
| title | Stability of canonical bases of irreducible finite type of real rank one |
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