Root vectors of the composition algebra of the Kronecker algebra
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Root vectors of the composition algebra of the Kronecker algebra
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| Creator |
Chen, X.
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| Description |
According to the canonical isomorphism between the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group Uq(g) and the generic composition algebra C(∆) of Λ, where the Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have the same diagram, in specially, we get a realization of quantum root vectors of the generic composition algebra of the Kronecker algebra by using the Ringel–Hall approach. The commutation relations among all root vectors are given and an integral PBW–basis of this algebra is also obtained. |
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| Date |
2019-06-17T15:46:33Z
2019-06-17T15:46:33Z 2004 |
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| Type |
Article
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| Identifier |
Root vectors of the composition algebra of the Kronecker algebra / X. Chen // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 37–56. — Бібліогр.: 24 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 16G10, 17B37, 16G20, 81R50. http://dspace.nbuv.gov.ua/handle/123456789/155948 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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