Ivan Dimitrov

collaborators

4 papers

math.RT2025

On $U (h)$ -free modules over $sl (m ∣ n)$

Ivan Dimitrov, Khoa Nguyen

We study two categories of $U (h)$ -free $sl (m ∣ n)$ -modules of total rank 2: $M_{sl (m ∣ n)} (2)$ , whose objects are free of rank 2 over ${U}(\…

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.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…

On U(h)-free modules over sl(m∣n)

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

Idempotents in the group algebra of the infinite dihedral group

Inversion Sets and Quotient Root Systems

On $U (h)$ -free modules over $sl (m ∣ n)$

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