Root vectors of the composition algebra of the Kronecker algebra

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2004, Vol. 3
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Algebra and Discrete Mathematics, 2004, № 1
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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