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Rigidity of measures invariant under semisimple groups in positive characteristic
Author(s) -
Einsiedler Manfred,
Ghosh Anish
Publication year - 2010
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdp029
Subject(s) - mathematics , unipotent , invariant (physics) , pure mathematics , homogeneous , lie group , combinatorics , mathematical physics
M. Ratner has conjectured a positive characteristic version of her seminal results classifying orbit closures and invariant measures of unipotent flows on homogeneous spaces. In this paper, we provide a partial answer by establishing a positive characteristic version of her classification result for measures invariant under semisimple groups.

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