Differential operators and the Steenrod algebra

Proceedings of the London Mathematical Society

Volumn 75, Issue 1, 1997, Pages 194-220

  Wood, R M W ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013476148     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611597000324     Document Type: Article

References (28)

1. J. F. ADAMS and C. WILKERSON, 'Finite H-spaces and algebras over the Steenrod algebra', Ann. of Math. 111 (1980) 95-143.
2. A. BOREL, Algebraic script D-modules (Academic Press, New York, 1987).
3. V. M. BUHSTABER, Semigroups of maps into groups, operator doubles, and complex cordism, Advances in Soviet Mathematics 22 (American Mathematical Society, Providence, R.I., 1995).
4. V. M. BUHSTABER and A. N. KHOLODOV, 'Groups of formal diffeomorphisms of the superline, generating functions for sequences of polynomials, and functional equations', Math. USSR-Izv. 35 (1990) 277-305.
5. V. M. BUHSTABER and A. V. SHOKUROV, 'The Landweber-Novikov algebra and formal vector fields on the line', English translation of Funktsional. Anal. i Prilozhen. 12 (1978) no. 3, 1-11.
6. D. M. DAVIS, 'The antiautomorphism of the Steenrod algebra', Proc. Amer. Math. Soc. 44 (1974) 235-236.
7. M. KANEDA, M. SHIMADA, M. TEZUKA, and N. YAGITA, 'Representations of the Steenrod algebra', J. Algebra 155 (1993) 435-454.
8. *(MU)', Illinois J. Math. 27 (1983) 31-51.
9. P. S. LANDWEBER, 'Cobordism operations and Hopf algebras', Trans. Amer. Math. Soc. 27 (1967) 94-110.
10. I. G. MACDONALD, Symmetric functions and Hall polynomials, 2nd edn, Oxford Mathematical Monographs (Clarendon Press, Oxford, 1995).
11. P. A. MACMAHON, Combinatorial analysis (Chelsea, New York, 1960).
12. H. H. MARGOLIS, Spectra and the Steenrod algebra. North Holland Mathematics Library 29 (Elsevier, Amsterdam, 1983).
13. J. MILNOR, 'The Steenrod algebra and its dual'. Am. of Math. 67 (1958) 150-171.
14. J. MILNOR, 'On the cobordism ring Ω* and a complex analogue', Amer. J. Math. 82 (1960) 505-521.
15. s bases for the Steenrod algebra', preprint, University of Scranton, 1994.
16. R. E. MOSHER and M. C. TANGORA, Cohomology operations and applications in homotopy theory (Harper and Row, New York, 1968).
17. S. P. NOVIKOV, 'The methods of algebraic topology from the point of view of cobordism theory', Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967) 855-951.
18. ∞) as a module over the Steenrod algebra', Abstracts Amer. Math. Soc. 833-55-89 (1987).
19. F. P. PETERSON, 'A-generators for certain polynomial algebras', Math. Proc. Cambridge Philos. Soc. 105 (1989) 311-312.
20. J.-P. SERRE, 'Cohomologie modulo 2 des complexes d'Eilenberg-MacLane', Comment. Math. Helv. 27 (1953) 198-231.
21. W. SINGER, 'On the action of Steenrod squares on polynomial algebras', Proc. Amer. Math. Soc. 111 (1991) 577-583.
22. P. S. SMITH, 'Differential operators on commutative algebras', Ring theory (ed. F. M. J. van Oystaeyen), Lecture Notes in Mathematics 1197 (Springer, Berlin, 1986), pp. 165-177.
23. N. E. STEENROD, 'Products of cocycles and extensions of mappings', Ann. of Math. 48 (1947) 290-320.
24. N. E. STEENROD and D. B. A. EPSTEIN, Cohomology operations, Annals of Mathematics Studies 50 (Princeton University Press, 1962).
25. R. M. SWITZER, Algebraic topology - homotopy and homology. Grundlehren der Mathematischen Wissenschaften 212 (Springer, Berlin. 1975).
26. n]', Algebraic topology, Barcelona 1986, Lecture Notes in Mathematics 1298 (Springer, Berlin, 1987), pp. 237-255.
27. R. M. W. WOOD, 'Steenrod squares of polynomials and the Peterson conjecture', Math. Proc. Cambridge Philos. Soc. 105 (1989) 307-309.
28. R. M. W. WOOD, 'Steenrod squares of polynomials', Advances in homotopy theory (eds B. Steer and W. A. Sutherland), London Mathematical Society Lecture Note Series 139 (Cambridge University Press, 1989), pp. 173-177.