EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2

Čestmír Burdík, Ondřej Navrátil

Abstract


Starting from the Verma modules of the algebra B2 we explicitly construct factor representations of the algebra B2 which are connected with the unitary representation of the group SO(3, 2). We find a full set of extremal vectors for representations of this kind. So we can explicitly resolve the problem of the irreducibility of these representations.

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague