no. 4
Reduced unstable A-modules and the modular representation theory of the symmetric groups
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 23 (1990) no. 4, pp. 593-624. 
@article{ASENS_1990_4_23_4_593_0,
     author = {Franjou, V. and Schwartz, L.},
     title = {Reduced unstable $A$-modules and the modular representation theory of the symmetric groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {593--624},
     publisher = {Elsevier},
     volume = {Ser. 4, 23},
     number = {4},
     year = {1990},
     doi = {10.24033/asens.1614},
     mrnumber = {91k:55019},
     zbl = {0724.55012},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1614/}
}
TY  - JOUR
AU  - Franjou, V.
AU  - Schwartz, L.
TI  - Reduced unstable $A$-modules and the modular representation theory of the symmetric groups
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1990
SP  - 593
EP  - 624
VL  - 23
IS  - 4
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.24033/asens.1614/
DO  - 10.24033/asens.1614
LA  - en
ID  - ASENS_1990_4_23_4_593_0
ER  - 
%0 Journal Article
%A Franjou, V.
%A Schwartz, L.
%T Reduced unstable $A$-modules and the modular representation theory of the symmetric groups
%J Annales scientifiques de l'École Normale Supérieure
%D 1990
%P 593-624
%V 23
%N 4
%I Elsevier
%U http://archive.numdam.org/articles/10.24033/asens.1614/
%R 10.24033/asens.1614
%G en
%F ASENS_1990_4_23_4_593_0
Franjou, V.; Schwartz, L. Reduced unstable $A$-modules and the modular representation theory of the symmetric groups. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 23 (1990) no. 4, pp. 593-624. doi : 10.24033/asens.1614. http://archive.numdam.org/articles/10.24033/asens.1614/

[Aw] J. F. Adams and C. Wilkerson, Finite H-spaces and algebras over the Steenrod algebra (Ann. Math., Vol. 111, 1980, pp. 95-143). | MR | Zbl

[Bo1] N. Bourbaki, Algèbre, Chapitre 10, Masson 1980. | MR | Zbl

[Bo2] N. Bourbaki, Algèbre, Chapitre 8, Hermann 1958. | Zbl

[Ca] G. Carlsson, G. B. Segal's Burnside ring conjecture for (ℤ/2)k, (Topology, Vol. 22, 1983, pp. 83-103). | MR | Zbl

[CK] D. Carlisle and N. Kuhn, Subalgebras of the Steenrod Algebra and the action of matrices on truncated polynomial algebras (J. Alg., vol. 121, n° 2, 1989, pp. 370-387). | MR | Zbl

[Ga] P. Gabriel, Des catégories abéliennes (Bull. Soc. Math. France, Vol. 90, 1962, pp. 323-448). | Numdam | MR | Zbl

[GLZ] J. Gunawardena, J. Lannes, S. Zarati, Quillen's map in the mod 2 cohomology of symmetric groups, Preprint, 1987.

[HK] J. C. Harris and N. Kuhn, Stable decompositions of classifying spaces of finite abelian p-groups, (Math. Proc. Camb. Phil. Soc., Vol. 103, 1988, pp. 427-449). | MR | Zbl

[HLS] H. W. Henn, J. Lannes and L. Schwartz, Analytic functors, unstable algebras and cohomology of classifying spaces (Cont. Math., Vol. 96, 1989). | MR | Zbl

[Ja1] G. D. James, The representation theory of the symmetric groups (SLNM, n° 682, 1978). | MR | Zbl

[Ja2] G. D. James, The decomposition of tensors over fields of prime characteristic, (Math. Z., Vol. 172, 1980, pp. 161-178). | MR | Zbl

[JK] G. D. James and A. Kerber, The representation theory of the symmetric group (Ency. Math. Appl., Vol. 16, Addison-Wesley Reading, Mass., 1981). | MR | Zbl

[K] N. Kuhn, The rigidity of L(n), (Proc. Seattle 1985, SLNM, 1286). | MR | Zbl

[Kr] L. Kristensen, On the cohomology of two-stage Postnikov systems (Acta Math., Vol. 107, 1962, pp. 73-123). | MR | Zbl

[La] J. Lannes, Sur la cohomologie modulo p des p-groupes abéliens élémentaires (Proc. Durham Symp. on Homotopy Theory, LMS, Camb. Univ. Press, 1987). | MR | Zbl

[LS1] J. Lannes et L. Schwartz, Sur la structure des A-modules injectifs instables (Topology, Vol. 28, n° 2, 1989, pp. 153-169). | MR | Zbl

[LS2] J. Lannes et L. Schwartz, Foncteurs analytiques, représentations modulaires et A-modules instables (en préparation).

[LZ1] J. Lannes et S. Zarati, Sur les U-injectifs (Ann. Scient. Ec. Norm. Sup. 19, 1986, pp. 1-31). | Numdam | MR | Zbl

[LZ2] J. Lannes et S. Zarati, Foncteurs dérivés de la déstabilisation (Math. Z., Vol. 194, 1987, pp. 25-39). | MR | Zbl

[Mc] I. G. Macdonald, Symmetric functions and Hall polynomials (Clarendon Press, Oxford, 1979). | MR | Zbl

[Mi] H. R. Miller, The Sullivan conjecture on maps from classifying spaces (Ann. Math., Vol. 120, 1984, pp. 39-87). | MR | Zbl

[Mi] J. Milnor, The Steenrod algebra and its dual (Ann. Math., Vol. 67, 1958, pp. 150-171). | MR | Zbl

[Mit] S. Mitchell, On the Steinberg module, representations of the symmetric groups and the Steenrod algebra (JPAA 39, 1986, pp. 275-281). | MR | Zbl

[MitP] S. Mitchell and S. Priddy, Stable splittings derived from the Steinberg module (Topology, Vol. 22, 1983, pp. 285-298). | MR | Zbl

[MP] W. S. Massey and F. P. Peterson, The mod 2 cohomology structure of certain fibre spaces (Memoirs of the AMS 74, 1962). | MR | Zbl

[Qui] D. Quillen, The spectrum of an equivariant cohomology ring, I, II (Ann. Math., Vol. 94, 1971, pp. 549-572 ; pp. 573-602). | MR | Zbl

[Sc] L. Schwartz, La filtration nilpotente de la catégorie U et la cohomologie des espaces de lacets (Proc. Louvain-la-Neuve, 1986, SLNM, 1318). | MR | Zbl

[SS] L. Smith and R. Switzer, Polynomial algebras over the Steenrod algebras, Variations on a theorem of Adams and Wilkerson (Proc. Edinb. Math. Soc., Vol. 27, 1984, pp. 11-19). | MR | Zbl

[St] N. E. Steenrod and D. B. A. Epstein, Cohomology operations, Ann. of Math. Studies 50, Princ. Univ. Press, 1962. | MR | Zbl

[W] R. Wood, Splitting ∑ (ℂℙ∞ × ... × ℂℙ∞) and the action of the Steenrod squares Sqi on the polynomial ring F2 [X1, ..., Xn] (Proc. of the 2nd BCAT, SLNM, 1298).

Cité par Sources :