Universally defined representations of Lie conformal superalgebras

• Autores: Pavel Kolesnikov
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 43, Nº 6-7, 2008, págs. 406-421
• Idioma: inglés
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• Resumen

  • We distinguish a class of irreducible finite representations of the conformal Lie (super)algebras. These representations (called universally defined) are the simplest ones from the computational point of view: a universally defined representation of a conformal Lie (super)algebra L is completely determined by commutation relations of L and by the requirement of associative locality of generators. We describe such representations for conformal superalgebras Wn, n=0, with respect to a natural set of generators. We also consider the problem for superalgebras Kn. In particular, we find a universally defined representation for the Neveu�Schwartz conformal superalgebra K1 and show that the analogues of this representation for n=2 are not universally defined