Nariel Monteiro

activity

20202026

collaborators

6 papers

math.RT2026

A tensor square theorem for characters of $GL_{n} (q)$

Nariel Monteiro, Alexander Stasinski

We construct an irreducible character of $GL_{n} (q)$ whose square contains every irreducible character that is trivial on the centre of $GL_{n} (q)$ . T…

math.RT2024

The conjugation representation of $GL_{2}$ and $SL_{2}$ over finite local rings

Nariel Monteiro, Alexander Stasinski

The conjugation representation of a finite group $G$ is the complex permutation module defined by the action of $G$ on itself by conjugation. Addressing a problem raised by Hain mo…

math.RT2024

The Defining Characteristic Case of the Representations of $GL_{n}$ and $SL_{n}$ over Principal Ideal Local Rings

Nariel Monteiro

Let $W_{r} (F_{q})$ be the ring of Witt vectors of length $r$ with residue field $F_{q}$ of characteristic $p$ . In this paper, we study the defining characteristic…

math.RT2024

The ring of perfect $p$ -permutation bimodules for blocks with cyclic defect groups

Robert Boltje, Nariel Monteiro

Let $B$ be a block algebra of a group algebra $F G$ of a finite group $G$ over a field $F$ of characteristic $p > 0$ . This paper studies ring theoretic properties of the representatio…

math.RT2021

The stable representations of $GL_{N}$ over finite local principal ideal rings

Nariel Monteiro

Let $O$ be a discrete valuation ring with maximal ideal $p$ and with finite residue field $F_{q}$ , the field with $q$ elements where $q$ is a power of…

math.RT2020

The $ℓ$ -modular representation of reductive groups over finite local rings of length two

Nariel Monteiro

Let $O_{2}$ and $O_{2}^{'}$ be two distinct finite local rings of length two with residue field of characteristic $p$ . Let $G (O_{2})$ and $\mathbb{G}(…

A tensor square theorem for characters of GLn​(q)

The conjugation representation of GL2​ and SL2​ over finite local rings

The Defining Characteristic Case of the Representations of GLn​ and SLn​ over Principal Ideal Local Rings

The ring of perfect p-permutation bimodules for blocks with cyclic defect groups

The stable representations of GLN​ over finite local principal ideal rings

The ℓ-modular representation of reductive groups over finite local rings of length two

A tensor square theorem for characters of $GL_{n} (q)$

The conjugation representation of $GL_{2}$ and $SL_{2}$ over finite local rings

The Defining Characteristic Case of the Representations of $GL_{n}$ and $SL_{n}$ over Principal Ideal Local Rings

The ring of perfect $p$ -permutation bimodules for blocks with cyclic defect groups

The stable representations of $GL_{N}$ over finite local principal ideal rings

The $ℓ$ -modular representation of reductive groups over finite local rings of length two