The integral homology and cohomology rings of \(SO(n)\) and Spin\((n)\)

DOI10.1016/0022-4049(91)90108-EzbMath0736.57019OpenAlexW1964857781MaRDI QIDQ1176706

Harsh V. Pittie

Publication date: 25 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90108-e

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10)

Related Items (5)

Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces ⋮ Integral weyl invariants and the borel homomorphism for spin(n) ⋮ Twisted cohomotopy implies level quantization of the full 6d Wess-Zumino term of the M5-brane ⋮ On the topology of the space of almost complex structures on the six sphere ⋮ Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds

Cites Work

• Homology of Noetherian rings and local rings
• Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups
• Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
• The integral cohomology ring of \(F_4/T\) and \(E_6/T\)
• The topology of rotation groups
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
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