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VOL. 2 | 2001 Symplectic Leaves of W-Algebras From the Reduced Kac–Moody Point of View
Z. Bajnok, D. Nógrádi

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

## Abstract

The symplectic leaves of W-algebras are the intersections of the symplectic leaves of the Kac-Moody algebras and the hypersurface of the second class constraints, which define the $W-$algebra. This viewpoint enables us to classify the symplectic leaves and also to give a representative for each of them. The case of the $W_2$ (Virasoro) algebra is investigated in detail, where the positivity of the energy functional is also analyzed.

## Information

Published: 1 January 2001
First available in Project Euclid: 5 June 2015

zbMATH: 1062.81524
MathSciNet: MR1815634

Digital Object Identifier: 10.7546/giq-2-2001-99-109