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6 papers · 2 filters
Krammer representations for complex braid groups
Ivan Marin
Let B be the generalized braid group associated to some finite complex reflection group. We define a representation of B of dimension the number of reflections of the corresponding…
Branching properties for the groups G(de,e,r)
Ivan Marin
We study general properties of the restriction of the representations of the finite complex reflection groups to their maximal parabolic subgroups of type …
On cluster algebras with coefficients and 2-Calabi-Yau categories
Changjian Fu, Bernhard Keller
Building on work by Geiss-Leclerc-Schroer and by Buan-Iyama-Reiten-Scott we investigate the link between certain cluster algebras with coefficients and suitable 2-Calabi-Yau catego…
On the combinatorics of rigid objects in 2-Calabi-Yau categories
Raika Dehy, Bernhard Keller
Given a triangulated 2-Calabi-Yau category C and a cluster-tilting subcategory T, the index of an object X of C is a certain element of the Grothendieck group of the additive categ…
Bounded derived categories and repetitive algebras
Dieter Happel, Bernhard Keller, Idun Reiten
By a theorem due to the first author, the bounded derived category of a finite-dimensional algebra over a field embeds fully faithfully into the stable category over its repetitive…
Automorphisms of complex reflection groups
Ivan Marin, Jean Michel
Let $G\subset\GL(\BC^r)$ be a finite complex reflection group. We show that when is irreducible, apart from the exception $G=\Sgot_6$, as well as for a large class of non-irred…