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Béchir Dali
Note on the cortex of some exponential Lie groups view print
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| Published: |
November 22, 2015
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| Keywords: |
Nilpotent and solvable Lie groups, orbit method, unitary representations of locally compact Lie groups. |
| Subject: |
22E25, 22E15, 22D10 |
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Abstract
In this paper, we built a family of 4d-dimensional two-step
nilpotent Lie algebras (\frak gd)d≧ 2 so that the cortex of
the dual of each \frak gd is a projective algebraic set.
We also give a complete description of the cortex of the exponential connected and simply connected Lie group
G=Rn\rtimesR.
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| Acknowledgements
The author would like to extend his sincere appreciation to the Deanship of Scientific Research at king Saud University for its funding through Research group RG-1435-069.
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| Author information
Department of Mathematics, Faculty of sciences of Bizerte, 7021 Zarzouna, Bizerte, Tunisia
Current Address: King Saud University, College of Science,
Department of Mathematics, Riyadh, P.O Box
2455, Riyadh 11451, K.S.A.
bechir.dali@fss.rnu.tn
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