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Generalized Derivations of Lie Color Algebras

Author: NiLin
Tutor: ChenLiangYun
School: Northeast Normal University
Course: Basic mathematics
Keywords: Lie color algebras Generalized derivations Quasiderivations Cen-troids Quasicentroids
CLC: O152.5
Type: Master's thesis
Year: 2011
Downloads: 13
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Abstract


In this thesis, we mainly study the derivation algebras Der(L), the center deriva-tion algebras ZDer(L), the quasiderivation algebras QDer(L). and the generalized derivation algebras GDer(L) of Lie color algebra L, which form a tower ZDer(L)(?) Der(L)(?)QDer(L)(?)GDer(L)(?)P1(L). We give some basic properties of the gen-eralized derivation algebras and their Lie subalgebras. show that the quasicentroid of a Lie color algebra is also a Lie color algebra if and only if it is an associative color algebra and prove that the quasiderivations of L can be embedded as derivations in a larger Lie color algebra L. Moreover, when the center of L is equal to zero, we obtain a direct sum decomposition of Der(L).

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Lie group
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