Jason Semeraro

activity

20122026

most citedWeight conjectures for fusion systems

13 citations · 27 across the 24 of their papers we have counts for

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9 papers · 1 filter

math.RT2025

On character tables for fusion systems

Thomas Lawrence, Jason Semeraro

A character table $X$ for a saturated fusion system $F$ on a finite $p$ -group $S$ is the square matrix of values associated to a basis of the lattice of virtual $\mathcal…

math.RT2025

Partial character tables for $Z_{ℓ}$ -spetses

Radha Kessar, Gunter Malle, Jason Semeraro

Let $G$ be a simply connected $Z_{ℓ}$ -spets, let $q$ be a prime power, prime to $ℓ$ and let $S$ be the underlying Sylow $ℓ$ -subgroup. Firstly, motivate…

math.RT2025

Weight conjectures for fusion systems on an extraspecial group

Radha Kessar, Markus Linckelmann, Justin Lynd +1

In a previous paper, we stated and motivated counting conjectures for fusion systems that are purely local analogues of several local-to-global conjectures in the modular represent…

math.RT2024

Weight conjectures for Parker--Semeraro fusion systems

Radha Kessar, Jason Semeraro, Patrick Serwene +1

We prove that the Parker--Semeraro systems satisfy six of the nine Kessar--Linckelmann--Lynd--Semeraro weight conjectures for saturated fusion systems. As a by-product we obtain th…

math.RT2023

Weights for compact connected Lie groups

Radha Kessar, Gunter Malle, Jason Semeraro

Let $ℓ$ be a prime. If $G$ is a compact connected Lie group, or a connected reductive algebraic group in characteristic different from $ℓ$ , and $ℓ$ is a good pr…

math.RT2021

The principal block of a $Z_{ℓ}$ -spets and Yokonuma type algebras

Radha Kessar, Gunter Malle, Jason Semeraro

We formulate conjectures concerning the dimension of the principal block of a $Z_{ℓ}$ -spets (as defined in our earlier paper), motivated by analogous statements for fini…

math.RT2020

Weight conjectures for $ℓ$ -compact groups and spetses

Radha Kessar, Gunter Malle, Jason Semeraro

Fundamental conjectures in modular representation theory of finite groups, more precisely, Alperin's Weight Conjecture and Robinson's Ordinary Weight Conjecture, can be expressed i…

math.RT2019

A $2$ -compact group as a spets

Jason Semeraro

In 1993, Broué, Malle and Michel initiated the study of spetses on the Greek island bearing the same name. These are mysterious objects attached to non-real Weyl groups. In algebra…

math.RT2018★ 13 cited

Weight conjectures for fusion systems

Radha Kessar, Markus Linckelmann, Justin Lynd +1

Many of the conjectures of current interest in the representation theory of finite groups in characteristic $p$ are local-to-global statements, in that they predict consequences fo…

On character tables for fusion systems

Partial character tables for Zℓ​-spetses

Weight conjectures for fusion systems on an extraspecial group

Weight conjectures for Parker--Semeraro fusion systems

Weights for compact connected Lie groups

The principal block of a Zℓ​-spets and Yokonuma type algebras

Weight conjectures for ℓ-compact groups and spetses

A 2-compact group as a spets

Weight conjectures for fusion systems

Partial character tables for $Z_{ℓ}$ -spetses

The principal block of a $Z_{ℓ}$ -spets and Yokonuma type algebras

Weight conjectures for $ℓ$ -compact groups and spetses

A $2$ -compact group as a spets