Root vectors of the composition algebra of the Kronecker algebra

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/87

Title:	Root vectors of the composition algebra of the Kronecker algebra
Authors:	Chen, Xueqing
Keywords:	алгебра
Issue Date:	6-Oct-2003
Publisher:	Луганский национальный университет им. Т. Шевченко
Description:	According to the canonical isomorphism between the positive part U+ q (g) of the Drinfeld–Jimbo quantum group Uq(g) and the generic composition algebra C(¢) of ¤, where the Kac–Moody Lie algebra g and the finite dimensional hereditary al- gebra ¤ 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 com- mutation relations among all root vectors are given and an integral PBW–basis of this algebra is also obtained.
URI:	http://hdl.handle.net/123456789/87
Appears in Collections:	Статті

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