Some results on Semisimple Symmetric Spaces and Invariant Differential Operators

Hue University Journal of Science: Natural Science

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Field Value
 
Title Some results on Semisimple Symmetric Spaces and Invariant Differential Operators
 
Creator Dõng, Trần Đạo
 
Description Let X = G/H be a semisimple symmetric space of non-compact style. Our purpose is to construct a compact real analytic manifold in which the semisimple symmetric space X = G/H is realized as an open subset and that $G$ acts analytically on it. By the Cartan decomposition G = KAH, we must compacify the vectorial part A.$ In [6], by using the action of the Weyl group, we constructed a compact real analytic manifold in which the semisimple symmetric space G/H is realized as an open subset and that G acts analytically on it.Our construction is a motivation of the Oshima's construction and it is similar to those in N. Shimeno, J. Sekiguchi for semismple symmetric spaces.In this note, first we will inllustrate the construction via the case of SL (n, R)/SO_e (1, n-1) and then show that the system of invariant differential operators on X = G/H extends analytically on the corresponding compactification.
 
Publisher Hue University
 
Date 2017-04-21
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion


 
Format application/pdf
 
Identifier http://joshueuni.edu.vn/index.php/HUJOS-NS/article/view/3762
10.26459/jns.v116i2.3762
 
Source Hue University Journal of Science: Natural Science; Vol 116, No 2 (2016): Hue University Journal of Science: Natural Science
Khoa học Tự Nhiên; Vol 116, No 2 (2016): Hue University Journal of Science: Natural Science
1859-1388
1859-1388
10.26459/jns.v116i2
 
Language vie
 
Relation http://joshueuni.edu.vn/index.php/HUJOS-NS/article/view/3762/86
http://joshueuni.edu.vn/index.php/HUJOS-NS/article/downloadSuppFile/3762/274
 
Rights Copyright (c) 2016 Hue University Journal of Science (HU JOS)
 

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