Construction of Weight Spaces for Irreducible Representations of An, Bn, Cn, Dn
- 1 February 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (2), 513-523
- https://doi.org/10.1063/1.1665165
Abstract
An algebraic technique is presented by means of which the weight space for the irreducible representations (λ) of An, Bn, Cn, Dn can be constructed from the weight spaces associated with the representations (λ′) of the subalgebras A n−1, B n−1, C n−1, D n−1. Since each chain ends with A 1, all weight spaces of the classical simple Lie algebras associated with (λ) can be constructed, ultimately, from the well‐known representations of A 1.Keywords
This publication has 1 reference indexed in Scilit:
- Branching Theorem for the Symplectic GroupsJournal of Mathematical Physics, 1967