18 citations · 85 across the 18 of their papers we have counts for
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math.DG2021
Symplectic groups over noncommutative algebras
Daniele Alessandrini, Arkady Berenstein, Vladimir Retakh +2
We introduce the symplectic group over a noncommutative algebra with an anti-involution . We realize several classical Lie groups as ove…
math.DG2019★ 2 cited
Noncommutative coordinates for symplectic representations
Daniele Alessandrini, Olivier Guichard, Eugen Rogozinnikov +1
We introduce coordinates on the spaces of framed and decorated representations of the fundamental group of a surface with nonempty boundary into the symplectic group $Sp(2n,\mathbf…
math.DG2015★ 2 cited
ADS 3-manifolds and Higgs bundles
Daniele Alessandrini, Qiongling Li
In this paper we investigate the relationships between closed AdS 3-manifolds and Higgs bundles. We have a new way to construct AdS structures that allows us to see many of their p…