Triangulated categories and Kac-Moody algebras
By using the Ringel-Hall algebra approach, we find a Lie algebra arising in each triangulated category with T ^sup 2^=1, where T is the translation functor. In particular, the generic form of the Lie algebras determined by the root categories, the 2-period orbit categories of the derived categories...
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| Veröffentlicht in: | Inventiones mathematicae 2000-06, Vol.140 (3), p.563-603 |
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| container_title | Inventiones mathematicae |
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| creator | Peng, Liangang Xiao, Jie |
| description | By using the Ringel-Hall algebra approach, we find a Lie algebra arising in each triangulated category with T ^sup 2^=1, where T is the translation functor. In particular, the generic form of the Lie algebras determined by the root categories, the 2-period orbit categories of the derived categories of finite dimensional hereditary associative algebras, gives a realization of all symmetrizable Kac-Moody Lie algebras.[PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1007/s002220000062 |
| format | Article |
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| language | eng |
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| source | SpringerNature Journals |
| title | Triangulated categories and Kac-Moody algebras |
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