# Irreducible representations of the Heisenberg algebra in Krein spaces

@article{Mnatsakanova1998IrreducibleRO,
title={Irreducible representations of the Heisenberg algebra in Krein spaces},
author={Melita Mnatsakanova and G. Morchio and Franco Strocchi and Yu. S. Vernov},
journal={Journal of Mathematical Physics},
year={1998},
volume={39},
pages={2969-2982}
}
• Published 23 October 1998
• Mathematics
• Journal of Mathematical Physics
The representations of the Heisenberg algebra in Krein spaces, more generally in weakly complete inner product spaces, are classified under general regularity and irreducibility conditions. Besides the Fock representation, two other types appear; one with negative, the other with a two-sided discrete spectrum of the number operator.
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