M. Mastnak

activity

20022026

most citedCohomology of finite dimensional pointed Hopf algebras

31 citations · 136 across the 24 of their papers we have counts for

collaborators

28 papers

math.RT2026

Fence Posets, Good Gradings and Frobenius Maximal Parabolics

Anthony Giaquinto, John Irving, Aaron Lauve +1

Let $L$ be a Frobenius maximal parabolic subalgebra of $sl_{n}$ . For any $F \in L^{*}$ for which the Kirillov form $B_{F} (x, y) = F ([x, y])$ is non-degenerate, l…

math.QA2026

The Center of the Temperley-Lieb Algebra

Anthony Giaquinto, Mitja Mastnak

We compute the dimension of the center of the Temperley--Lieb algebra $T L_{n} (δ)$ over a field of characteristic zero for every nonzero value of the parameter $δ$ . The…

math.RT2024

Groups of matrices with approximately submultiplicative spectra

Mitja Mastnak, Lindsey McNamara, Zhipeng Yu

We say that a semigroup of matrices has a submultiplicative spectrum if the spectrum of the product of any two elements of the semigroup is contained in the product of the two spec…

math.FA2024

Invariant embeddings and ergodic obstructions

Mitja Mastnak, Heydar Radjavi

We consider the following question: Let $A$ be an abelian self-adjoint algebra of bounded operators on a Hilbert space $H$ . Assume that $A$ is invaria…

math.CO2024

A Proof of the Box Conjecture for Commuting Pairs of Matrices

J. Irving, T. Košir, M. Mastnak

We prove the Box Conjecture for pairs of commuting nilpotent matrices, as formulated by Iarrobino et al [28]. This describes the Jordan type of the dense orbit in the nilpotent com…

math.RA2024

Invariant embeddings and weighted permutations

Mitja Mastnak, Heydar Radjavi

We prove that for any fixed unitary matrix $U$ , any abelian self-adjoint algebra of matrices that is invariant under conjugation by $U$ can be embedded into a maximal abelian self-…