Universal Journal of Mathematics and Mathematical Sciences
Volume 11, Issue 1, Pages 21 - 38
(June 2018) http://dx.doi.org/10.17654/UM011010021 |
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A GENERALIZATION OF THE ORBIT METHOD ON A SIMPLY CONNECTED NILPOTENT LIE GROUP
Adjiey Jean-Luc Koffi and Kinvi Kangni
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Abstract: Let G be a simply connected nilpotent Lie group, be the finite-dimensional Lie algebra of G, be a finite-dimensional vector space over or and be the space of linear operators of into the Lie algebra of endomorphisms of In this work, we construct a representation of G in denoted by Ad# a generalization of coadjoint representation of G, and extend the orbit method to the space |
Keywords and phrases: polarization at an linear operator, induced representation, the orbit method, #-coadjoint representation, #-coadjoint orbit. |
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