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Cohomology theory of Lie groups and Lie algebras
Open accessAbstract
These methods are due to E. Cartan, Sur les invariants intégraux de certains espaces homogènes clos, Annales Société Polonaise de Mathématique vol.8 (1929) pp.181-225.They were used by R. Brauer to determine the Betti numbers of the classical groups (C.R. Acad.
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Samelson, H. (1952) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1952-09544-6 · Cited by 219
Metadata
- Authors
- Chevalley, C., & Eilenberg, S.
- Venue
- Transactions of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 1948
- Volume
- 63
- Issue
- 1
- Pages
- 85-124
- ISSN
- 0002-9947 (ISSN-L)
- 1088-6850
- OpenAlex
- W4253609700
- Cited by
- 231
- References
- 0
- Citations by year
- 2026: 6 · 2025: 3 · 2024: 4 · 2023: 4 · 2022: 8 · 2021: 6 · 2020: 35 · 2019: 9 · 2018: 8 · 2017: 6 · 2016: 7 · 2015: 2 · 2014: 4 · 2013: 4 · 2012: 8
- FWCI
- 1.79
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Transactions of the American Mathematical Society (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Topics in Algebra
- Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
- Keywords
- cohomology, Lie groups, Lie algebras, integral invariants, homogeneous spaces, Betti numbers, classical groups
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- Chevalley, C., & Eilenberg, S. (1948). Cohomology theory of Lie groups and Lie algebras. Transactions of the American Mathematical Society. https://doi.org/10.2307/1990637
