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dc.contributor.author |
Chen, X. |
|
dc.date.accessioned |
2019-06-17T15:46:33Z |
|
dc.date.available |
2019-06-17T15:46:33Z |
|
dc.date.issued |
2004 |
|
dc.identifier.citation |
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. |
uk_UA |
dc.identifier.issn |
1726-3255 |
|
dc.identifier.other |
2000 Mathematics Subject Classification: 16G10, 17B37, 16G20, 81R50. |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/155948 |
|
dc.description.abstract |
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. |
uk_UA |
dc.description.sponsorship |
I would like to thank Professor V. Dlab and Professor E. Neher for their
help and support. I am grateful to Professor C. M. Ringel and Professor
J. Xiao for their helpful suggestions. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
Root vectors of the composition algebra of the Kronecker algebra |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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