منابع مشابه
Cohomology of congruence subgroups of SL(4,Z) II
In a previous paper [Avner Ash, Paul E. Gunnells, Mark McConnell, Cohomology of congruence subgroups of SL4(Z), J. Number Theory 94 (2002) 181–212] we computed cohomology groups H (Γ0(N),C), where Γ0(N) is a certain congruence subgroup of SL(4,Z), for a range of levels N . In this note we update this earlier work by extending the range of levels and describe cuspidal cohomology classes and addi...
متن کامل0 Cohomology of Congruence Subgroups of Sl 4 ( Z
Let N > 1 be an integer, and let Γ = Γ0(N) ⊂ SL4(Z) be the subgroup of matrices with bottom row congruent to (0, 0, 0, ∗) mod N . We compute H(Γ;C) for a range of N , and compute the action of some Hecke operators on many of these groups. We relate the classes we find to classes coming from the boundary of the Borel-Serre compactification, to Eisenstein series, and to classical holomorphic modu...
متن کاملCohomology of Congruence Subgroups of SL 4 ( Z )
1 The research of the first author was partially supported by NSF Grant DMS-9531675. The second author was partially supported by a Columbia University Faculty Research grant and NSF Grant DMS-9627870. The third author was partially supported by NSF Grant DMS-9704535. We thank Eric Conrad for some assistance with programming, and Peter Woit for excellent computing support. We thank David Ginzbu...
متن کاملModule cohomology group of inverse semigroup algebras
Let $S$ be an inverse semigroup and let $E$ be its subsemigroup of idempotents. In this paper we define the $n$-th module cohomology group of Banach algebras and show that the first module cohomology group $HH^1_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is zero, for every odd $ninmathbb{N}$. Next, for a Clifford semigroup $S$ we show that $HH^2_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is a Banach sp...
متن کامل4 A reductive group with finitely generated cohomology algebras .
Let G be the linear algebraic group SL3 over a field k of characteristic two. Let A be a finitely generated commutative k-algebra on which G acts rationally by k-algebra automorphisms. We show that the full cohomology ring H(G,A) is finitely generated. This extends the finite generation property of the ring of invariants AG. We discuss where the problem stands for other geometrically reductive ...
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ژورنال
عنوان ژورنال: Diyala Journal For Pure Science
سال: 2020
ISSN: 2222-8373
DOI: 10.24237/djps.16.01.517b