Osaka Journal of Mathematics

On the Benson-Ratcliff invariant of coadjoint orbits on nilpotent Lie groups

Abstract

We provide in this paper a counterexample to the Benson-Ratcliff conjecture about a cohomology class invariant on coadjoint orbits on nilpotent Lie groups. We prove that this invariant never vanishes on generic coadjoint orbits for some restrictive classes. As such, it does separate up to invariant factor, unitary representations associated to generic orbits in some cases.

Article information

Source
Osaka J. Math., Volume 44, Number 2 (2007), 399-414.

Dates
First available in Project Euclid: 5 July 2007

https://projecteuclid.org/euclid.ojm/1183667987

Mathematical Reviews number (MathSciNet)
MR2351008

Zentralblatt MATH identifier
1143.22007

Citation

Baklouti, Ali; Tounsi, Khaled. On the Benson-Ratcliff invariant of coadjoint orbits on nilpotent Lie groups. Osaka J. Math. 44 (2007), no. 2, 399--414. https://projecteuclid.org/euclid.ojm/1183667987

References

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