English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

For $N \geq 2$, we study a certain sequence $(\rho_p^{(c_p)})$ ofN-dimensional representations of the mapping class group of the one-holed torusarising from SO(3)-TQFT, and show that the conjecture of Andersen, Masbaum, andUeno \cite{1} holds for these representations. This is done by proving that, ina certain basis and up to a rescaling, the matrices of these representationsconverge as $p$ tends to infinity. Moreover, the limits describe the action of$SL_{2}(\mathbb{Z})$ on the space of homogeneous polynomials of two variablesof total degree $N-1$.

Limits of the quantum SO(3) representations for the one-holed torus