4 papers
math.RT2026
Degeneration order of nilpotent matrix tuples
Mátyás Domokos, Botond Miklósi
The degeneration order of simultaneous similarity classes of nilpotent matrix tuples is determined, and is shown to be given by rank conditions.
math.AC2025
Separating versus ordinary Noether numbers
Mátyás Domokos, Barna Schefler
Let be a finite group and a field containing an element of multiplicative order . It is shown that if has a cyclic subgroup of index at most , then the separati…
math.RT2025
On the cones of classical groups
Mátyás Domokos
The cone of a classical group is an affine -variety. The aim of this note is to initiate its combinatorial study in the cases when is the complex orthogonal or s…
math.QA2004
Quantized trace rings
M. Domokos, T. H. Lenagan
The general linear group acts on -tuples of matrices by simultaneous conjugation. Quantum deformations of the corresponding rings of invariants and the so-called tra…