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math.RT2026
An introduction to -bands
Luca Francone, Bernard Leclerc
We give an introduction to our results on cluster structures for schemes of -bands emphasizing their connections with seminal works of Frenkel and Reshetikhin in the 90's. I…
math.RT2026
Cluster structures on schemes of bands
Luca Francone, Bernard Leclerc
We introduce new objects, called -bands, associated with a simple simply-connected algebraic group , and a Coxeter element in its Weyl group. We show that bands of a…
math.RT2024
Generalised spherical minors and their relations
Luca Francone
Let H be a spherical subgroup of minimal rank of the semisimple simply connected complex algebraic group G. We define some functions on the homogeneous space G/H that we call gener…