MATHEMATICA™ PACKAGES FOR COMPUTING PRINCIPAL DECOMPOSITIONS OF SIMPLE LIE ALGEBRAS AND APPLICATIONS IN EXTENDED CONFORMAL FIELD THEORIES

Daniela Gărăjeu () and Mihail Gărăjeu ()
Additional contact information
Daniela Gărăjeu: Centre de Physique Théorique, CNRS Luminy, Case 907, 13288 Marseille Cedex 9, France
Mihail Gărăjeu: LMMT, UPRES EA 2596, Université Aix-Marseille III, Avenue Escadrille Normandie-Niemen, Case 322, 13397 Marseille Cedex 20, France

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 01, 1-27

Abstract: In this article, we propose two Mathematica™ packages for doing calculations in the domain of classical simple Lie algebras.The main goal of the first package,$\tt{SimpleLieAlgebras.m}$, is to determine the principal three-dimensional subalgebra of a simple Lie algebra. The package provides several functions which give some elements related to simple Lie algebras (generators in fundamental and adjoint representation, roots, Killing form, Cartan matrix, etc.).The second package,$\tt{PrincipalDecomposition.m}$, concerns the principal decomposition of a Lie algebra with respect to the principal three-dimensional embedding.These packages have important applications in extended two-dimensional conformal field theories. As an example, we present an application in the context of the theory ofW-gravity.

Keywords: Simple Lie algebra; principal decomposition; primary fields; W-algebra; conformal field theory (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S012918310300419X
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:14:y:2003:i:01:n:s012918310300419x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S012918310300419X

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().