On the irreducible representations of the Lie algebra chain G2⊇A2
- 1 November 1976
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (11) , 1998-2006
- https://doi.org/10.1063/1.522839
Abstract
In the first part of this article we solve the ’’state labelling problem’’ for the irreducible finite dimensional representations of the G2⊆A2 chain, using a method applicable to other algebras‐subalgebras chains. In the second part we define, for these representations, operators analogous to those introduced by Nagel and Moshinsky for the An⊆An−1 chain and explicitly construct the representations belonging to two equivalent classes.Keywords
This publication has 7 references indexed in Scilit:
- Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)Journal of Mathematical Physics, 1974
- Labeling States and Constructing Matrix Representations of G2Journal of Mathematical Physics, 1970
- Internal-Labeling ProblemJournal of Mathematical Physics, 1969
- Projection operators and Clebsch-Gordan coefficients for the group SU3Nuclear Physics B, 1968
- Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of UnJournal of Mathematical Physics, 1965
- Simple Groups and Strong Interaction SymmetriesReviews of Modern Physics, 1962
- Semisimple subalgebras of semisimple Lie algebrasPublished by American Mathematical Society (AMS) ,1957