Transgression and Clifford algebras

DOI10.5802/aif.2466zbMath1187.17009arXiv0712.0922OpenAlexW1576622312MaRDI QIDQ734599

Rudolf Philippe Rohr

Publication date: 13 October 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0922

zbMATH Keywords

Clifford algebrasclassical and quantized Weil algebrastransgression in spectral sequence

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Homological methods in Lie (super)algebras (17B55) Exterior algebra, Grassmann algebras (15A75)

Cites Work

• Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\)
• The non-commutative Weil algebra
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Opérateurs différentiels bi-invariants sur un groupe de Lie
• Loop groups and twisted $K$-theory II
• Lie Group Representations on Polynomial Rings
• Lie theory and the Chern–Weil homomorphism
• Invariants of Finite Groups Generated by Reflections
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