On representations of affine Temperley-Lieb algebras - II
We study some non-semisimple representations of affine Temperley-Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1999
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| _version_ | 1826268237926498304 |
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| author | Erdmann, K Green, R |
| author_facet | Erdmann, K Green, R |
| author_sort | Erdmann, K |
| collection | OXFORD |
| description | We study some non-semisimple representations of affine Temperley-Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra. |
| first_indexed | 2024-03-06T21:06:36Z |
| format | Journal article |
| id | oxford-uuid:3caccd04-7588-4187-aa0c-6db9cc812dfa |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:06:36Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:3caccd04-7588-4187-aa0c-6db9cc812dfa2022-03-26T14:15:01ZOn representations of affine Temperley-Lieb algebras - IIJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3caccd04-7588-4187-aa0c-6db9cc812dfaEnglishSymplectic Elements at Oxford1999Erdmann, KGreen, RWe study some non-semisimple representations of affine Temperley-Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra. |
| spellingShingle | Erdmann, K Green, R On representations of affine Temperley-Lieb algebras - II |
| title | On representations of affine Temperley-Lieb algebras - II |
| title_full | On representations of affine Temperley-Lieb algebras - II |
| title_fullStr | On representations of affine Temperley-Lieb algebras - II |
| title_full_unstemmed | On representations of affine Temperley-Lieb algebras - II |
| title_short | On representations of affine Temperley-Lieb algebras - II |
| title_sort | on representations of affine temperley lieb algebras ii |
| work_keys_str_mv | AT erdmannk onrepresentationsofaffinetemperleyliebalgebrasii AT greenr onrepresentationsofaffinetemperleyliebalgebrasii |