Charles Paquette

activity

20232025

collaborators

4 papers

math.RT2025

Generalized permutation matrices and non-weight modules over $sl (m ∣1)$

Ivan Dimitrov, Khoa Nguyen, Charles Paquette +1

We study the category $M_{sl (m ∣1)} (k ∣ k)$ of $U (h) -free$ $U (sl (m ∣1))$ -modules of rank $k$ in each parity (rank $(k…

math.RT2024

Galois Coverings, $τ$ -Rigidity and Mutations

Charles Paquette, Deepanshu Prasad, David Wehlau

For an algebraically closed field $K$ , we consider a Galois $G$ -covering $B \to A$ between locally bounded $K$ -categories given by bound quive…

math.GR2023

Idempotents in the group algebra of the infinite dihedral group

Ivan Dimitrov, Charles Paquette, David Wehlau +1

We prove that over an algebraically closed field $K$ of characteristic different from $2$ , the group algebra $R = K D_{\infty}$ of the infinite dihedral group $D_\inf…

math.CO2023

Inversion Sets and Quotient Root Systems

Ivan Dimitrov, Cole Gigliotti, Etan Ossip +2

The main result of this paper is a recursive description of all decompositions \[ Δ^+ = Φ_1 \sqcup Φ_2 \sqcup \dots \sqcup Φ_k \] of the positive roots $Δ^{+}$ of an arbitrary root s…

Generalized permutation matrices and non-weight modules over sl(m∣1)

Galois Coverings, τ-Rigidity and Mutations

Idempotents in the group algebra of the infinite dihedral group

Inversion Sets and Quotient Root Systems

Generalized permutation matrices and non-weight modules over $sl (m ∣1)$

Galois Coverings, $τ$ -Rigidity and Mutations