Representations of Deligne-Mostow lattices into

DOI10.1080/10586458.2022.2093802MaRDI QIDQ6564879

Elisha Falbel, Irene Pasquinelli, Alejandro Ucan-Puc

Publication date: 1 July 2024

Published in: Experimental Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Cites Work

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• Mostow's lattices and cone metrics on the sphere
• Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\)
• Maximal representations of uniform complex hyperbolic lattices
• Local rigidity of discrete groups acting on complex hyperbolic space
• On compact, locally symmetric Kähler manifolds
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Representations of surface groups in complex hyperbolic space
• On a remarkable class of polyhedra in complex hyperbolic space
• Archimedean superrigidity and hyperbolic geometry
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity
• Deligne-mostow lattices with three fold symmetry and cone metrics on the sphere
• A non-metric rigidity theorem for locally symmetric Hermitian manifolds

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