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arXiv · 2106.14499

The principal block of a $\mathbb{Z}_\ell$-spets and Yokonuma type algebras

Radha Kessar·Gunter Malle·Jason Semeraro
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Abstract

We formulate conjectures concerning the dimension of the principal block of a ${\mathbb Z}_\ell$-spets (as defined in our earlier paper), motivated by analogous statements for finite groups. We show that these conjectures hold in certain situations. For this we introduce and study a Yokonuma type algebra for torus normalisers in $\ell$-compact groups which may be of independent interest.

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Radha Kessar, Gunter Malle, Jason Semeraro. 2021-06-28. The principal block of a $\mathbb{Z}_\ell$-spets and Yokonuma type algebras. https://doi.org/10.2140/ant.2023.17.131

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