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Polynomial Lie Subalgebras of the Infinite Matrix Lie Algebra

Published online by Cambridge University Press:  20 November 2018

Liang Chen
Liang Chen*
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1
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Abstract

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We construct two classes of Lie subalgebras of the infinite matrix Lie algebra 𝔤𝔩∞(ℂ) and prove that they are all simple Lie algebras.

Keywords

17Bxx16A6816A42
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 2 , 01 April 1996 , pp. 274 - 287
Copyright
Copyright © Canadian Mathematical Society 1996

References

[C1] Chen, L., Polynomial Lie Subalgebras of the Virasoro algebra, Coram. Algebra (13) 22(1994), 5249–5298.Google Scholar
[C2] Chen, L., Differential operator Lie algebras on the ring of Laurent polynomials, Commun. Math. Phys. 167 (1995), 431–469.Google Scholar
[K] Kac, V.,Infinite dimensional Lie algebras, 3rd edition, Cambridge Univ. Press, 1990.Google Scholar
[KR] Kac, V. and Raina, A., Highest weight representations of infinite dimensional Lie algebras, World Scientific, 1989.Google Scholar
[MP] Moody, R. and Pianzola, A., Lie algebras with triangular decompositions, John Wiley & Sons, Inc. 1995.Google Scholar