Universally defined representations of Lie conformal superalgebras

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dc.creatorKolesnikov, Pavel
dc.date2007-06-19
dc.date.accessioned2026-07-07T09:54:07Z
dc.date.available2026-07-07T09:54:07Z
dc.descriptionWe distinguish a class of irreducible finite representations of 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 $W_n$, $n\ge 0$, with respect to a natural set of generators. We also consider the problem for superalgebras $K_n$. In particular, we find a universally defined representation for the Neveu--Schwartz conformal superalgebra $K_1$ and show that the analogues of this representation for $n\ge 2$ are not universally defined.
dc.descriptionPresented at ASCM 2005, to appear in J. Symb. Comp
dc.identifierhttps://arxiv.org/abs/0706.2718
dc.identifierhttp://arxiv.org/abs/0706.2718
dc.identifierJournal of Symbolic Computation, 2008, V.43, no.6--7, P. 406--421.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166196
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16S32; 16S99; 16W20
dc.titleUniversally defined representations of Lie conformal superalgebras
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