The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras
We study the restriction of simple modules Df,λ of Birman-Murakami-Wenzl algebras Bn(r,q) with q being not a root of 1. Precisely, we study the module structure for the restriction of Df,λ to Bn-1(r,q) and describe the socle and head of the restriction of each simple module completely.
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/876251 |
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| _version_ | 1850176914165071872 |
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| author | Xu Xu |
| author_facet | Xu Xu |
| author_sort | Xu Xu |
| collection | DOAJ |
| description | We study the restriction of simple modules Df,λ of Birman-Murakami-Wenzl algebras Bn(r,q) with q being not a root of 1. Precisely, we study the module structure for the restriction of Df,λ to Bn-1(r,q) and describe the socle and head of the restriction of each simple module completely. |
| format | Article |
| id | doaj-art-afaad67c91ae4c34a19e402085e2bd66 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-afaad67c91ae4c34a19e402085e2bd662025-08-20T02:19:07ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/876251876251The Structure of Simple Modules of Birman-Murakami-Wenzl AlgebrasXu Xu0School of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaWe study the restriction of simple modules Df,λ of Birman-Murakami-Wenzl algebras Bn(r,q) with q being not a root of 1. Precisely, we study the module structure for the restriction of Df,λ to Bn-1(r,q) and describe the socle and head of the restriction of each simple module completely.http://dx.doi.org/10.1155/2015/876251 |
| spellingShingle | Xu Xu The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras Journal of Mathematics |
| title | The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras |
| title_full | The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras |
| title_fullStr | The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras |
| title_full_unstemmed | The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras |
| title_short | The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras |
| title_sort | structure of simple modules of birman murakami wenzl algebras |
| url | http://dx.doi.org/10.1155/2015/876251 |
| work_keys_str_mv | AT xuxu thestructureofsimplemodulesofbirmanmurakamiwenzlalgebras AT xuxu structureofsimplemodulesofbirmanmurakamiwenzlalgebras |