Geodesic
On the Mirabolic Lie Algebra $\mathfrak{p}_n$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 2, pp. 88-92

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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, representations.
Mots-clés : Lie algebras 
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     title = {On the {Mirabolic} {Lie} {Algebra} $\mathfrak{p}_n$},
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A. A. Kirillov. On the Mirabolic Lie Algebra $\mathfrak{p}_n$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 2, pp. 88-92. http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a5/