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- W2788029975 abstract "We give an explicit description of the inner cohomology of an adelic locally symmetric space of a given level structure attached to the general linear group of prime rank $n$, with coefficients in a locally constant sheaf of complex vector spaces. We show that for all prime $n$ the inner cohomology vanishes in all degrees for nonconstant sheaves, otherwise the quotient module of the inner cohomology classes that are not cuspidal is trivial in all degrees for primes $n = 2,3$, and for all primes $n geq 5$ it is trivial in all but finitely many degrees where it has a `simple' description in terms of algebraic Hecke characters." @default.
- W2788029975 created "2018-03-06" @default.
- W2788029975 creator A5011814334 @default.
- W2788029975 date "2018-02-20" @default.
- W2788029975 modified "2023-09-27" @default.
- W2788029975 title "Inner cohomology of $GL_n$" @default.
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