On the first cohomology of cocompact arithmetic groups

DOI10.1007/BF02867433zbMath0872.22008OpenAlexW2063570519MaRDI QIDQ1126312

Tyakal Nanjundiah Venkataramana

Publication date: 21 September 1997

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02867433

zbMATH Keywords

latticeirreducible representationcohomology groupsarithmetic groupsreal semisimple Lie groupnon-vanishing theorems

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Continuous cohomology of Lie groups (22E41)

Cites Work

• Unnamed Item
• Unnamed Item
• On the congruence subgroup problem: Determination of the Metaplectic kernel
• A remark on Raghunathan's vanishing theorem
• Some applications of the Weil representation
• On the first Betti number of a constant negatively curved manifold
• On the first Betti number of a hyperbolic manifold with an arithmetic fundamental group
• Connection of the dual space of a group with the structure of its closed subgroups
• On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces
• Non-vanishing theorems for the cohomology of certain arithmetic quotients.
• On the First Cohomology of Discrete Subgroups of Semi-Simple Lie Groups