Homology of Integral Upper-Triangular Matrices

DOI10.2307/2045246zbMath0568.55018OpenAlexW4256753287MaRDI QIDQ3684832

William G. Dwyer

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045246

zbMATH Keywords

group homologygroup of integral upper triangular matriceshomology of a compact nilmanifold

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Other matrix groups over rings (20H25) Cohomology of Lie (super)algebras (17B56) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Massey products (55S30)

Related Items (6)

The Representation Theory of the Increasing Monoid ⋮ On the cohomology of nilpotent Lie algebras ⋮ Generators and relations of ``lower-triangular automorphism groups of free groups ⋮ Torsion table for the lie algebra niln ⋮ Stability in the homology of unipotent groups ⋮ Cohomology of infinitesimal and discrete groups

Cites Work

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• On the modular representations of the general linear and symmetric groups
• Lie algebra homology and the Macdonald-Kac formulas
• On the homology of filtered and graded rings
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Elementary proofs of some results of cobordism theory using Steenrod operations
• Über Lie-Ringe von Gruppen und ihre universellen Enveloppen
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Cohomology of Nilmanifolds and Torsion-Free, Nilpotent Groups

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