Nariel Monteiro

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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…

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 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