Analogies between finite-dimensional irreducible representations of SO(2n) and infinite-dimensional irreducible representations of Sp(2n,R). I. Characters and products

The analogy between the finite-dimensional spin representation Δ of SO(2n) and the infinite-dimensional representation Δ˜ of Sp(2n,R) is made precise. It is then shown that this analogy can be extended so as to provide a precise link between each finite dimensional unitary irreducible representation...

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Bibliographic Details
Published in:Journal of Mathematical Physics, Vol. 41, No. 7 (2000), p. 5002-5019
Main Author: King, R. C.
Format: electronic Article
Physical Description:Online-Ressource
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