Relation between the boson calculus and Zhelobenko's method
- 1 December 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (12), 1955-1958
- https://doi.org/10.1063/1.1666277
Abstract
A comparison is made between the method of constructing finite‐dimensional representations of the classical groups using the boson calculus in its standard or modified form and the method of Zhelobenko, which uses polynomials over a homogeneous space defined by a certain triangular subgroup. It is shown that the two methods can be directly related, so that one construction can be mapped into the other.Keywords
This publication has 2 references indexed in Scilit:
- The Boson Calculus for the Orthogonal and Symplectic GroupsJournal of Mathematical Physics, 1971
- THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONSRussian Mathematical Surveys, 1962