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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…
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…
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…
The minimal monomial lfting of cluster algebras I: branching problems
Luca Francone
Let be complex reductive algebraic groups. The branching problem that aims to study -modules as -modules is encoded by a collection of branc…