On the rigidity of Weyl chamber flows and Schur multipliers as topological groups

Kurt Vinhage

doi:10.3934/jmd.2015.9.25

Article Contents

2015, Volume 9: 25-49. Doi: 10.3934/jmd.2015.9.25

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On the rigidity of Weyl chamber flows and Schur multipliers as topological groups

Kurt Vinhage^1,

1.
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802

Received: May 31, 2014

Revised: October 31, 2014

Published: April 2015

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Abstract

We effectively conclude the local rigidity program for generic restrictions of partially hyperbolic Weyl chamber flows. Our methods replace and extend previous ones by circumventing computations made in Schur multipliers. Instead, we construct a natural topology on $H_2(G,\mathbb{Z})$, and rely on classical Lie structure theory for central extensions.

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Mathematics Subject Classification: Primary: 37C85; Secondary: 19C09.

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