Geodesic
Commutation Relations in an Indefinite-Metric Space
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 420-426

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We describe the irreducible regular representations of the algebra of operators $a$ and $b$ defined by$[a,b]=1$ and $ba=a^+b^+$ in an arbitrary nondegenerate closed indefinite-metric space. We find the relation of this algebra to the generalized Heisenberg algebra.
Keywords: indefinite metric, Heisenberg algebra, regular representations. 
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Yu. S. Vernov; M. N. Mnatsakanova. Commutation Relations in an Indefinite-Metric Space. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 420-426. http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a4/