A GENERALIZATION OF THE ORBIT METHOD ON A SIMPLY CONNECTED NILPOTENT LIE GROUP

DOI10.17654/UM011010021zbMath1444.43003OpenAlexW2887322816WikidataQ115234414 ScholiaQ115234414MaRDI QIDQ5204794

Kinvi Kangni, Adjiey Jean-Luc Koffi

Publication date: 5 December 2019

Published in: Universal Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/um011010021

zbMATH Keywords

induced representation\#-coadjoint orbit\#-coadjoint representationpolarization at an linear operatorthe orbit method

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Induced representations for locally compact groups (22D30)

Cites Work

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• On irreducibility of an induced representation of a simply connected nilpotent Lie group
• The orbit method for unipotent groups over finite fields.
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Computing Vergne polarizing subalgebras
• Classification of Real Solvable Lie Algebras Whose Simply Connected Lie Groups Have Only Zero or Maximal Dimensional Coadjoint Orbits
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups
• Merits and demerits of the orbit method
• A new construction of polarizations of solvable lie algebras

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