3 papers
math.RT2025
Arithmetic Properties of Character Degrees and the Generalised Knutson Index
Diego MartÃn Duro
In this paper, we introduce the generalised Knutson Index and compute it for the special linear groups and projective special linear groups of degree two by computing the lowest co…
math.RT2024
The Knutson Index of the Representation Ring
Diego MartÃn Duro
In this paper, we study if, for a given simple module over a Hopf algebra, there exists a virtual module such that their tensor product is the regular module. This is related to a…
math.RT2024
Disconnected Reductive Groups: Classification and Representations
Dylan Johnston, Diego MartÃn Duro, Diego Martín Duro +1
In this article, we classify (up to isomorphism) disconnected reductive groups over an algebraically closed field. For the fixed dimension and number of components, our results sho…