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arXiv · 1008.1275

Analogs of principal series representations for Thompson's groups $F$ and $T$

Łukasz Garncarek
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Abstract

We define series of representations of the Thompson's groups $F$ and $T$, which are analogs of principal series representations of $SL(2,\R)$. We show that they are irreducible and classify them up to unitary equivalence. We also prove that they are different from representations induced from finite-dimensional representations of stabilizers of points under natural actions of $F$ and $T$ on the unit interval and the unit circle, respectively.

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BibTeXRIS

Łukasz Garncarek. 2011-03-21. Analogs of principal series representations for Thompson's groups $F$ and $T$. https://doi.org/10.1512/iumj.2012.61.4572

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