李代数Der(Cq)∝Cq 的导子代数The Derivation Algebra of Lie Algebra Der(Cq)∝Cq

Abstract: In this paper, the derivation algebra of Lie algebra we give is Der(Cq)&prop;Cq. We prove its outer derivation is one dimension.

[1] Dokovic, D. and Zhao, K. (1996) Derivations, isomorphisms and second cohomology of generalized Witt algebras. Algebra Colloquium, 3, 245-272.

[2] Farnseiner, R. (1988) Derivations and central extensions of finitely generated graded Lie algebra. Journal of Algebra, 118, 33-45.

[3] Jiang, C. (1997) The holomorph and derivation algebra of in-finite dimensional heisenbergalgebra. Chinese Journal of Mathematics, 17, 422-426.

[4] Shen, R. and Jiang, C. (2006) Derivation algebra and automorphism group of the twisted Heisenberg-Virasoro algebra. Communications in Algebra, 34, 2547-2558.

[5] Eswara Rao, S., Batra, P. and Sharma, S.S. (2013) The irreducible modules for the derivations of the rational quantum torus. Representation Theory.

[6] Hilton, P.J. and Stammbach, U. (1997) A course in homological algebra. 2nd Edition, Springer-Verlag, New York.

Top