Aufsatz(elektronisch)#121. Oktober 2013
EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2
In: Acta polytechnica: journal of advanced engineering, Band 53, Heft 5, S. 399-404
ISSN: 1805-2363
Starting from the Verma modules of the algebra <em>B<sub>2</sub></em> we explicitly construct factor representations of the algebra <em>B<sub>2</sub></em> 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.