3 papers
math.QA2025
Torsion-Free Bimodule Connections and the Maximal Prolongation of a First-Order Differential Calculus
Alessandro Carotenuto, Antonio Del Dono, Réamonn à Buachalla +1
We give an unexpectedly simple presentation of the maximal prolongation of a first-order differential calculus in terms of the bimodule map of a torsion-free bimodule connection. W…
math.RA2025
On Fundamental Theorems of Invariant Theory for the Special Linear Supergroup
Junaid Razzaq, Rita Fioresi, Maria A. Lledo
The purpose of this paper is to prove the First and Second Fundamental Theorems of invariant theory for the complex special linear supergroup and discuss the superalgebra of invari…
math.QA2024
Noncommutative Complex Structures for the Full Quantum Flag Manifold of Quantum SU(3)
Alessandro Carotenuto, Réamonn à Buachalla, Junaid Razzaq
In recent work, Lusztig's positive root vectors (with respect to a distinguished choice of reduced decomposition of the longest element of the Weyl group) were shown to give a quan…