Notes on $WGL_n$-Algebras and Quantum Miura Transformation
High Energy Physics - Theory
2015-06-26 v1
Abstract
We start from the quantum Miura transformation [7] for the -algebra associated with group and find an evident formula for quantum L-operator as well as for the action of currents (l=1,..,n) on elements of the completely degenerated n-dimensional representation. Quantum formulae are obtained through the deformation of the pseudodifferential symbols. This deformation is independent of and preserves Adler's trace. Our main instrument of the proof is the notation of pseudodifferential symbol with right action which has no counterpart in classical theory.
Keywords
Cite
@article{arxiv.hep-th/9307110,
title = {Notes on $WGL_n$-Algebras and Quantum Miura Transformation},
author = {Ya. P. Pugay},
journal= {arXiv preprint arXiv:hep-th/9307110},
year = {2015}
}
Comments
Landau-tmp-4-93, 15 pages, Tex (vanilla.sty)