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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 81, 2009 - Issue 3-4: Stochastic Analysis
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Original Articles

Analytic central extensions of infinite dimensional white noise *–Lie algebras

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Pages 201-218 | Received 05 May 2008, Accepted 24 Oct 2008, Published online: 23 Jul 2009

References

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  • L. Accardi and A. Boukas, Fock representation of the renormalized higher powers of white noise and the Virasoro–Zamolodchikov–w∞ *–Lie algebra, to appear in J. Phys. A Math. Theor. 1(1) (2007), pp. 57–69
  • Accardi , L. and Boukas , A. 2007 . Lie algebras associated with the renormalized higher powers of white noise . Comm. Stoch. Anal. , 1 ( 1 ) : 57 – 69 .
  • Accardi , L. and Boukas , A. 2008 . Renormalized higher powers of white noise and the Virasoro–Zamolodchikov–w ∞ algebra . Rep. Math. Phys. , 61 ( 1 ) : 1 – 11 . Available at http://arxiv.org/hep-th/0610302
  • Bakas , I. 1990 . The structure of the W inf algebra . Comm. Math. Phys. , 134 : 487 – 508 .
  • Fuchs , J. and Schweigert , C. 1997 . Symmetries, Lie Algebras and Representations (A Graduate Course for Physicists) , Cambridge Monographs on Mathematical Physics Cambridge : Cambridge University Press .
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  • Wanglai , L. and Wilson , R. 1998 . Central extensions of some Lie algebras . Proc. Am. Math. Soc. , 126 ( 9 ) : 2569 – 2577 .

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