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Showing 1 to 5 of 5 for “"principal series"”.
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Some results on principal series for GL(n,R).
Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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The unramified principal series of p-adic groups : the Bessel function
… evaluate a matrix coefficient of the unramified principal series of G known as the "Bessel function" at torus elements of dominant coweight. I show that the Bessel function shares many properties with the Macdonald spherical function of G, in particular the properties described in Casselman's …
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On trigonometric and elliptic Cherednik algebras
… also study the images of some D-modules and the principal series modules. In the second part, we define the elliptic Dunkl operators on an abelian variety with a finite group action. Using these elliptic Dunkl operators, we construct a new family of quantum integrable systems.
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Der Kombinatorikfunktor V : graduierte Kategorie O, Hauptserien und primitive Ideale
Wir untersuchen eine graduierte Version der sogenannten Kategorie O. Zentrales Hilfsmittel zur Definition ist der von W. Soergel eingeführte Kombinatorikfunktor V. Wir definieren eine graduierte Version von Verschiebungsfunktoren, die uns eine graduierte Version von Hauptserien liefert. Deren …