DIFFERENTIAL RELATIONS AND RECURRENCE FORMULAS FOR REPRESENTATIONS OFLIE-GROUPS

Authors
FEINSILVER P SCHOTT R
Citation
P. Feinsilver et R. Schott, DIFFERENTIAL RELATIONS AND RECURRENCE FORMULAS FOR REPRESENTATIONS OFLIE-GROUPS, Studies in applied mathematics, 96(4), 1996, pp. 387-406
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studies in applied mathematics → ACNP
ISSN journal
00222526
Volume
96
Issue
4
Year of publication
1996
Pages
387 - 406
Database
ISI
SICI code
0022-2526(1996)96:4<387:DRARFF>2.0.ZU;2-X
Abstract
General recurrence formulas for matrix elements of representations of Lie groups on enveloping algebras are given. In particular, we show th e connection with the exponential of the adjoint representation which is an important feature of the construction. The methods are applicabl e for groups of arbitrary dimension and have been implemented using MA PLE. A three-step nilpotent group and SU(3) provide examples of the th eory.