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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 2, Pages 88–92
DOI: https://doi.org/10.4213/faa3142 (Mi faa3142) 		 
Brief communications

On the Mirabolic Lie Algebra $\mathfrak{p}_n$

A. A. Kirillovab

a Institute for Information Transmission Problems, Russian Academy of Sciences
b University of Pennsylvania
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DOI: https://doi.org/10.4213/faa3142
Abstract: We consider the Lie algebra $\mathfrak{g}=\mathfrak{p}_n$ of $(n+1)\times (n+1)$ matrices with zeros in the last row. This algebra has received the name of mirabolic; it has many remarkable properties and plays an important role in representation theory. In this paper we study open coadjoint orbits for the corresponding Lie group $P_n$.
Keywords: Lie groups, Lie algebras, representations.
Received: 07.10.2013
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 2, Pages 145–149
DOI: https://doi.org/10.1007/s10688-014-0055-y
Bibliographic databases:
Document Type: Article
UDC: 512.554.3
Language: Russian
Citation: A. A. Kirillov, “On the Mirabolic Lie Algebra $\mathfrak{p}_n$”, Funktsional. Anal. i Prilozhen., 48:2 (2014), 88–92; Funct. Anal. Appl., 48:2 (2014), 145–149
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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