Nagoya Mathematical Journal

On the cohomology of some Hopf algebras

Akira Iwai and Nobuo Shimada

Full-text: Open access

Article information

Source
Nagoya Math. J., Volume 30 (1967), 103-111.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1118796803

Mathematical Reviews number (MathSciNet)
MR0215896

Zentralblatt MATH identifier
0261.18017

Subjects
Primary: 18.20
Secondary: 55.00

Citation

Shimada, Nobuo; Iwai, Akira. On the cohomology of some Hopf algebras. Nagoya Math. J. 30 (1967), 103--111. https://projecteuclid.org/euclid.nmj/1118796803


Export citation

References

  • [1] J F Adams, Stable homotopy theory (Mimeo. note), University of California, Berkeley, 1961.
  • [2] J.F.Adams, On the non-existence of elements of Hopf invariant one,Ann. of Math. 72 (1960), 20-104.
  • [3] E.H. Brown, Twisted tensor product I, Ann. of Math. 69 (1959) 223-246.
  • [4] H. Cartan, Homologie et cohomologie dne algebre graduee, Semi. H. Cartan,E.N.S., 11, 1958/59, Expose 15.
  • [5] H. Cartan, Determination des algebres H(,nZp)et H(9nZp), Semi. H. Cartan, E.N.S., 1954/55, Expose 9, 10.
  • [6] A.L. Lieulevicius, The cohomology of a subalgebra of the Steenrod algebra, Trans. A.M.S. 104 (1962), 443-449.
  • [7] W.S. Massey, Some higher order cohomology operations, Symposium internacinal de topologia algebrica, Universidad Nacional Autnoma de Mexico and UNESCO,Mexico City, 1958, 145-154.
  • [8] J.P. May, The cohomology of restricted Lie algebras and of Hopf algebras (Mimeo. note), Princeton University, 1964.
  • [9] J. Milnor, The Steenrod algebra and its dual, Ann. of Math. 67 (1958), 150-171.
  • [0] J. Milnor and J.C. Moore, On the structure of Hopf algebras, Ann. of Math. 81 (1965), 211-264.
  • [11] N. Shimada and A. Iwai, A remark on resolutions for Hopf algebras, Publication of the Research Institute for Mathematical Sciences, Kyoto University, Ser, A, Vol. 1, No. 2 (1966).
  • [12] N.E. Steenrod, Cohomology operations, Ann. of Math. Studies 50, Princeton, 1962. Research Institutefor MathematicalSciences, Kyoto University