Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-05T04:55:07.409Z Has data issue: false hasContentIssue false
  • English
  • Français

Upper Triangular Invariants

Published online by Cambridge University Press:  20 November 2018

H. E. A. Campbell
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We modify the construction of the mod 2 Dyer-Lashof (co)-algebra to obtain a (co)-algebra W which is (also) unstable over the Steenrod algebra A*. W has canonical sub-coalgebras W[k] such that the hom-dual W[k:]* is isomorphic as an A-algebra to the ring of upper triangular invariants in ℤ/2ℤ [x1, . . . , xk].

Keywords

55S12
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 2 , 01 June 1985 , pp. 243 - 248
Copyright
Copyright © Canadian Mathematical Society 1985

References

1. Campbell, H. E. A., Cohen, F.R., Peterson, F.P., Selick, P.S., Self Maps of Loop Spaces, II, to appear.Google Scholar
2. Cohen, F.R., Lada, T., May, J.P., The Homology of Iterated Loop Spaces, Lecture Notes in Math., Vol. 533, Springer-Verlag, New York, 1976.Google Scholar
3. Dickson, L.E., A Fundamental System of Invariants of the General Modular Linear Group with a Solution of the Form Problem, Trans. A.M.S., 12 (1911), pp. 75–98.Google Scholar
4. Mùi, H., Modular Invariant Theory and the Cohomology Algebras of Symettric Spaces, J. Fac. Sc. Univ. of Tokyo, 22 (1975), pp. 319–369.Google Scholar
5. Singer, W.M., A New Chain Complex for the Homology of the Steenrod Algebra, Proc. Cambridge Phil. Soc. 90 (1981), pp. 279–292.Google Scholar
6. Singer, W.M., Invariant Theory and the Lambda Algebra, Trans. A.M.S. 280 (1983), 673-693.Google Scholar
7. Wilkerson, C., A Primer on the Dickson Invariants, Contemporary Mathematics , V 19, (1983), A.M.S. Google Scholar