A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Lie algebras associated with the renormalized higher powers of white noise

2007
*
Communications on Stochastic Analysis
*

We recall the recently established (cf. [1] and [2]) connection between the renormalized higher powers of white noise (RHPWN) * -Lie algebra and the Virasoro -Zamolodchikov-w∞ * -Lie algebra of conformal field theory (cf. [10] ). Motivated by this connection, with the goal of investigating a possible connection with classical independent increments processes, we begin a systematic study of the sub- * -Lie algebras of the (1-mode) full oscillator algebra. This program has two additional

doi:10.31390/cosa.1.1.06
fatcat:hoy7oszacfcxfkycpun2gfxsr4