Commutative algebra for cohomology rings of classifying spaces of compact Lie groups

Journal of Pure and Applied Algebra

Volumn 122, Issue 1-2, 1997, Pages 41-53

  Benson, D J ^a   Greenlees, J P C ^b  

^a UNIVERSITY OF GEORGIA   (United States)

^b Probability and Statistics Section   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031585453     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(96)00078-3     Document Type: Article

References (17)

1. [1] J.F. Adams, Prerequisites (on equivariant stable homotopy) for Carlsson's lecture, Lecture Notes in Mathematics, Vol. 1051 (Springer, Berlin, 1984).
2. [2] D.J. Benson and J.F. Carlson, Complexity and multiple complexes, Math. Z. 195 (1987) 221-238.
3. [3] D.J. Benson and J.F. Carlson, Projective resolutions and Poincaré duality complexes, Trans. Amer. Math. Soc. 342 (1994) 447-488.
4. [4] D.J. Benson and J.F. Carlson, Functional equations for Poincaré series in group cohomology, Bull. London Math. Soc., to appear.
5. [5] A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. Math. 57 (1953) 115-207.
6. [6] A. Elmendorf, I. Kriz, M. Mandell and J.P. May, Rings, Modules and Algebras in Stable Homotopy Theory, Amer. Math. Soc. Surveys and Monographs, to appear.
7. [7] A. Elmendorf, I. Kriz, M. Mandell and J.P. May, Modern foundations for stable homotopy theory, in: I.M. James, Ed., Handbook of Topology (North-Holland, Amsterdam, 1995).
8. [8] A. Elmendorf and J.P. May, Algebras over equivariant sphere spectra, J. Pure Appl. Algebra 116 (1997) 139-149.
9. [9] J.P.C. Greenlees, The K-homology of universal spaces and local cohomology of the representation ring, Topology 32 (1993) 295-308.
10. [10] J.P.C. Greenlees, Commutative algebra in group cohomology, J. Pure Appl. Algebra 98 (1995) 151-162.
11. [11] J.P.C. Greenlees and J.P. May, Completions in algebra and topology, in: I.M. James, Ed., Handbook of Topology (North-Holland, Amsterdam, 1995).
12. [12] A. Grothendieck (notes by R, Hartshorne), Local Cohomology, Lecture Notes in Mathematics, Vol. 41 (Springer, Berlin, 1967).
13. 6, J. Pure Appl. Algebra 6 (1975) 61-81.
14. [14] L.G. Lewis, J.P. May and M. Steinberger (with contributions by J.E. McClure), Equivariant Stable Homotopy Theory, Lecture Notes in Mathematics, Vol. 1213 (Springer, Berlin, 1986).
15. [15] D.G. Quillen, The mod 2 cohomology rings of extra-special 2-groups and the spinor groups, Math. Ann. 194 (1971) 197-212.
16. [16] B.B. Venkov, Cohomology algebras for some classifying spaces, Dokl. Akad. Nauk. SSSR 127 (1959) 943-944.
17. [17] B.B. Venkov, Characteristic classes for finite groups, Dokl. Akad. Nauk. SSSR 137 (1961) 1274-1277.