The Derivation Algebra of gl∞(C)

Journal of East China Normal University(Natural Sc ›› 2003, Vol. 2003 ›› Issue (1): 21-24.

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The Derivation Algebra of gl_∞(C)

XIA Li-meng; YANG Heng-yun; LIN Lei

Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:2001-04-11 Revised:2002-06-26 Online:2003-03-25 Published:2003-03-25

Abstract

Abstract: In this paper, it is proved that the derivation algebra of the Lie algebra of infinite matrices with finite nonzero entries is isomorphic to the quotient of the Lie algebra of infinite matrices with finite nonzero entries in each row and in each column nodulo its center. It os also proved that this quotient is a complete Lie algebra.

Key words: derivation algebra, Lie algebra, derivation, derivation algebra, Lie algebra

XIA Li-meng;YANG Heng-yun;LIN Lei. The Derivation Algebra of gl_∞(C)[J]. Journal of East China Normal University(Natural Sc, 2003, 2003(1): 21-24.

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