2022 A NOTE ON THE HARMONIC REPRESENTATION OF SU(p,q)
Benjamin Cahen
Author Affiliations +
Nihonkai Math. J. 33(2): 61-79 (2022).

Abstract

We derive an explicit formula for the harmonic representation of SU(p,q) in the Fock space from the holomorphic representations of the semi-direct product of the (2p+2q+1)-dimensional Heisenberg group by SU(p,q).

Acknowledgements

I would like to thank the anonymous referee for carefully reading the manuscript and suggesting many improvements to it.

Citation

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Benjamin Cahen. "A NOTE ON THE HARMONIC REPRESENTATION OF SU(p,q)." Nihonkai Math. J. 33 (2) 61 - 79, 2022.

Information

Received: 12 July 2022; Revised: 4 April 2023; Published: 2022
First available in Project Euclid: 11 July 2023

MathSciNet: MR4622662
zbMATH: 07721315

Subjects:
Primary: 22E46
Secondary: 46E22 , 47B32

Keywords: harmonic representation , Heisenberg group , holomorphic representation , oscillator representation , ‎reproducing kernel Hilbert ‎space , unitary group , unitary representation

Rights: Copyright © 2022 Niigata University, Department of Mathematics

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Vol.33 • No. 2 • 2022
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