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