Finite-dimensional representations of the euclidean group in the plane |
| |
Authors: | Bruno Gruber |
| |
Institution: | (1) Physics Department, Southern Illinois University, 62901 Carbondale, IL, USA |
| |
Abstract: | In this article two theorems are given which permit, together with the concept of a representation vector diagram, to classify all (linear) finite-dimensional representations of the algebra and group E
2 which are induced by a master representation on the place of the universal enveloping algebra of the algebra E
2. Apart from a classification of the finite-dimensional representations, the two theorems make it possible to obtain the matrix elements of these representations for both, algebra and group, in explicit form. The material contained in this letter forms part of an analysis of indecomposable (finite- and infinite-dimensional) representations of the algebra and group E
2 which is contained in Reference 1]. No proofs will be given in this letter. We refer instead to 1]. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|