EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2

Čestmír Burdík; Ondřej Navrátil

doi:10.14311/AP.2013.53.0399

EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2

Authors

Čestmír Burdík Department of Mathematics, Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Trojanova 13, 120 00 Prague 2
Ondřej Navrátil

DOI:

https://doi.org/10.14311/AP.2013.53.0399

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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Published

2013-10-21

How to Cite

Burdík, Čestmír, & Navrátil, O. (2013). EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2. Acta Polytechnica, 53(5), 399–404. https://doi.org/10.14311/AP.2013.53.0399