What question did this study set out to answer?

This study aims to explore the relationship between sums of Galois representations and their attachment to homology classes.

Sums of Two Irreducible Galois Representations and the Homology of GL n (ℤ)

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This research demonstrates attachment of Galois representations to homology groups, indicating relationships via spectral sequences.

This study aims to explore the relationship between sums of Galois representations and their attachment to homology classes.
Investigated irreducible Galois representations with their conductors
Examined Γ 0 (n,N)-orbits of flags of subspaces within ℚ n
Utilized a spectral sequence derived from the Tits building
Proved that direct sums of Galois representations are attached to Hecke eigenclasses in homology groups
Established conditions under which Galois representations retain specified weight, level, and nebentype in their direct sum
Derived two results concerning degrees of homology for irreducible Galois representations

Ash et al. (2025) studied this question.

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View Full Paper

Ask AI

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Authors

This research demonstrates attachment of Galois representations to homology groups, indicating relationships via spectral sequences.

This study aims to explore the relationship between sums of Galois representations and their attachment to homology classes.
Investigated irreducible Galois representations with their conductors
Examined Γ 0 (n,N)-orbits of flags of subspaces within ℚ n
Utilized a spectral sequence derived from the Tits building
Proved that direct sums of Galois representations are attached to Hecke eigenclasses in homology groups
Established conditions under which Galois representations retain specified weight, level, and nebentype in their direct sum
Derived two results concerning degrees of homology for irreducible Galois representations

Ash et al. (2025) studied this question.

View Full Paper

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Bookmark