Disjoint pairs for $ {\mathit{GL}}_{n}(\mathbb{R})$ and $ {\mathit{GL}}_{n}(\mathbb{C})$

Avraham Aizenbud; Omer Offen; Eitan Sayag

doi:10.1016/j.crma.2011.11.011

Algebra/Group Theory

Disjoint pairs for

{GL}_{n} (R)

and

{GL}_{n} (C)

Presented by: Michel Duflo

Avraham Aizenbud ¹; Omer Offen ¹; Eitan Sayag ¹

¹ Technion Mathematics, Department of Mathematics, Haifa, Israel

Comptes Rendus. Mathématique, Volume 350 (2012) no. 1-2, pp. 9-11.

Abstract
Résumé

We show the disjointness property of Klyachko for ${GL}_{n} (R)$ and ${GL}_{n} (C)$ .

Nous montrons la propriété de disjonction de Klyachko pour ${GL}_{n} (R)$ et ${GL}_{n} (C)$ .

Received: 2011-10-17
Accepted: 2011-11-14
Published online: 2011-12-01

DOI: 10.1016/j.crma.2011.11.011

Author's affiliations:

Avraham Aizenbud ¹; Omer Offen ¹; Eitan Sayag ¹

¹ Technion Mathematics, Department of Mathematics, Haifa, Israel

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Avraham Aizenbud; Omer Offen; Eitan Sayag. Disjoint pairs for $ {\mathit{GL}}_{n}(\mathbb{R})$ and $ {\mathit{GL}}_{n}(\mathbb{C})$. Comptes Rendus. Mathématique, Volume 350 (2012) no. 1-2, pp. 9-11. doi : 10.1016/j.crma.2011.11.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.11.011/

References
Cited by

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[3] Avraham Aizenbud; Dmitry Gourevitch; Eitan Sayag $({GL}_{n + 1} (F), {GL}_{n} (F))$ is a Gelfand pair for any local field F, Compos. Math., Volume 144 (2008) no. 6, pp. 1504-1524

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