A non-simply-laced version for cluster structures on 2-Calabi–Yau categories

An approach to non simply laced cluster algebras

We study cluster algebras associated to a quiver equipped with a group of admissible automorphisms. This enables us to realize cluster algebras of non simply laced types as quotients of cluster algebras of simply laced types. We then generalize well known results on cluster algebras as denominators theorems and, under some conditions, the linear independence of cluster monomials over Z.

Colour valued scattering matrices from non simply-laced Lie algebras

A new set of exact scattering matrices in 1+1 dimensions is proposed by solving the bootstrap equations. Extending earlier constructions of colour valued scattering matrices this new set has its colour structure associated to non simply-laced Lie algebras. This in particular leads to a coupling of different affine Toda models whose fusing structure has to be matched in a suitable manner. The de...

Duality for nonlinear simply laced groups

We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us to extend part of the formalism of the Local Langlands Conjecture to such groups.

Non-simply-laced Clusters of Finite Type via Frobenius Morphism

By showing the compatibility of folding almost positive roots and folding cluster categories, we prove that there is a one-to-one correspondence between seeds and tilting seeds in non-simply-laced finite cases.

A Local Characterization of Simply-Laced Crystals