Cohomology for groups of isometries of regular trees (Q765896)
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scientific article; zbMATH DE number 6017618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomology for groups of isometries of regular trees |
scientific article; zbMATH DE number 6017618 |
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Cohomology for groups of isometries of regular trees (English)
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22 March 2012
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The author of the paper under review studies the 1-cohomology groups associated with irreducible representations of groups acting on regular trees. He considers the class of closed noncompact groups of isomers of a regular tree. The main result is that the groups \(H^1(G,\pi)\) are always zero with one exception when it is a one-dimensional space.
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1-cohomology
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groups of isometries
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representations
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locally compact groups
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Gelfand pairs
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