Topological central extensions of \(\text{SL}_1(D)\).

DOI10.1007/BF01393751zbMath0701.20024MaRDI QIDQ913949

Gopal Prasad, M. S. Raghunathan

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143586

zbMATH Keywords

filtrationsfinite dimensional central division algebrasHochschild-Serre spectral sequencereduced normnonarchimedean local fieldssecond continuous cohomology group

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Finite-dimensional division rings (16K20) Linear algebraic groups over local fields and their integers (20G25) Continuous cohomology of Lie groups (22E41) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Division algebras and noncommensurable isospectral manifolds ⋮ Computation of the metaplectic kernel ⋮ Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero ⋮ Deligne's topological central extension is universal. ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ Finite presentability of \(\text{SL}_1(D)\). ⋮ On the second cohomology of the norm one group of a \(p\)-adic division algebra ⋮ Groups with less than \(n\) subgroups of index \(n\).

Cites Work

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