Semi-infinite highest weight categories
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2018
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| _version_ | 1866911949519847424 |
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| author | Brundan, Jonathan Stroppel, Catharina |
| author_facet | Brundan, Jonathan Stroppel, Catharina |
| contents | We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also consider various more general sorts of stratified categories. In the upper finite cases, we give an alternative characterization of these categories in terms of based quasi-hereditary algebras and based stratified algebras, which are certain locally unital algebras possessing triangular bases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_08022 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Semi-infinite highest weight categories Brundan, Jonathan Stroppel, Catharina Representation Theory 16G10, 16-02, 17B10, 08C20, 20G05, 20G42, 17B67 We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also consider various more general sorts of stratified categories. In the upper finite cases, we give an alternative characterization of these categories in terms of based quasi-hereditary algebras and based stratified algebras, which are certain locally unital algebras possessing triangular bases. |
| title | Semi-infinite highest weight categories |
| topic | Representation Theory 16G10, 16-02, 17B10, 08C20, 20G05, 20G42, 17B67 |
| url | https://arxiv.org/abs/1808.08022 |