Symplectic Keys and Demazure Atoms in Type C
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2021 |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10316/103872 https://doi.org/10.37236/9235 |
Resumo: | We compute, mimicking the Lascoux-Sch utzenberger type A combinatorial procedure, left and right keys for a Kashiwara-Nakashima tableau in type C. These symplectic keys have a similar role as the keys for semistandard Young tableaux. More precisely, our symplectic keys give a tableau criterion for the Bruhat order on the hyperoctahedral group and cosets, and describe Demazure atoms and characters in type C. The right and the left symplectic keys are related through the Lusztig involution. A type C Sch utzenberger evacuation is de ned to realize that involution. |
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Symplectic Keys and Demazure Atoms in Type CWe compute, mimicking the Lascoux-Sch utzenberger type A combinatorial procedure, left and right keys for a Kashiwara-Nakashima tableau in type C. These symplectic keys have a similar role as the keys for semistandard Young tableaux. More precisely, our symplectic keys give a tableau criterion for the Bruhat order on the hyperoctahedral group and cosets, and describe Demazure atoms and characters in type C. The right and the left symplectic keys are related through the Lusztig involution. A type C Sch utzenberger evacuation is de ned to realize that involution.Electronic Journal of Combinatorics2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/103872http://hdl.handle.net/10316/103872https://doi.org/10.37236/9235eng1077-8926Santos, João Miguelinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-12-06T21:39:31Zoai:estudogeral.uc.pt:10316/103872Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:20:38.355106Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
| dc.title.none.fl_str_mv |
Symplectic Keys and Demazure Atoms in Type C |
| title |
Symplectic Keys and Demazure Atoms in Type C |
| spellingShingle |
Symplectic Keys and Demazure Atoms in Type C Santos, João Miguel |
| title_short |
Symplectic Keys and Demazure Atoms in Type C |
| title_full |
Symplectic Keys and Demazure Atoms in Type C |
| title_fullStr |
Symplectic Keys and Demazure Atoms in Type C |
| title_full_unstemmed |
Symplectic Keys and Demazure Atoms in Type C |
| title_sort |
Symplectic Keys and Demazure Atoms in Type C |
| author |
Santos, João Miguel |
| author_facet |
Santos, João Miguel |
| author_role |
author |
| dc.contributor.author.fl_str_mv |
Santos, João Miguel |
| description |
We compute, mimicking the Lascoux-Sch utzenberger type A combinatorial procedure, left and right keys for a Kashiwara-Nakashima tableau in type C. These symplectic keys have a similar role as the keys for semistandard Young tableaux. More precisely, our symplectic keys give a tableau criterion for the Bruhat order on the hyperoctahedral group and cosets, and describe Demazure atoms and characters in type C. The right and the left symplectic keys are related through the Lusztig involution. A type C Sch utzenberger evacuation is de ned to realize that involution. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/103872 http://hdl.handle.net/10316/103872 https://doi.org/10.37236/9235 |
| url |
http://hdl.handle.net/10316/103872 https://doi.org/10.37236/9235 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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1077-8926 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Electronic Journal of Combinatorics |
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Electronic Journal of Combinatorics |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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