@article{ASENS_1990_4_23_4_593_0, author = {Franjou, Vincent and Schwartz, Laurent}, title = {Reduced unstable $A$-modules and the modular representation theory of the symmetric groups}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {23}, year = {1990}, pages = {593-624}, doi = {10.24033/asens.1614}, mrnumber = {91k:55019}, zbl = {0724.55012}, language = {en}, url = {http://dml.mathdoc.fr/item/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, Tome 23 (1990) pp. 593-624. doi : 10.24033/asens.1614. http://gdmltest.u-ga.fr/item/ASENS_1990_4_23_4_593_0/
[Aw] Finite H-spaces and algebras over the Steenrod algebra (Ann. Math., Vol. 111, 1980, pp. 95-143). | MR 81h:55006 | Zbl 0404.55020
and ,[Bo1] | MR 82j:18022 | Zbl 0455.18010
, Algèbre, Chapitre 10, Masson 1980.[Bo2] | Zbl 0102.27203
, Algèbre, Chapitre 8, Hermann 1958.[Ca] G. B. Segal's Burnside ring conjecture for (ℤ/2)k, (Topology, Vol. 22, 1983, pp. 83-103). | MR 84a:55007 | Zbl 0504.55011
,[CK] 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 90c:55018 | Zbl 0691.55015
and ,[Ga] Des catégories abéliennes (Bull. Soc. Math. France, Vol. 90, 1962, pp. 323-448). | Numdam | MR 38 #1144 | Zbl 0201.35602
,[GLZ] Quillen's map in the mod 2 cohomology of symmetric groups, Preprint, 1987.
, , ,[HK] Stable decompositions of classifying spaces of finite abelian p-groups, (Math. Proc. Camb. Phil. Soc., Vol. 103, 1988, pp. 427-449). | MR 89d:55021 | Zbl 0686.55007
and ,[HLS] Analytic functors, unstable algebras and cohomology of classifying spaces (Cont. Math., Vol. 96, 1989). | MR 90j:55025 | Zbl 0683.55013
, and ,[Ja1] The representation theory of the symmetric groups (SLNM, n° 682, 1978). | MR 80g:20019 | Zbl 0393.20009
,[Ja2] The decomposition of tensors over fields of prime characteristic, (Math. Z., Vol. 172, 1980, pp. 161-178). | MR 81h:20015 | Zbl 0438.20008
,[JK] The representation theory of the symmetric group (Ency. Math. Appl., Vol. 16, Addison-Wesley Reading, Mass., 1981). | MR 83k:20003 | Zbl 0491.20010
and ,[K] The rigidity of L(n), (Proc. Seattle 1985, SLNM, 1286). | MR 89a:55015 | Zbl 0632.55004
,[Kr] On the cohomology of two-stage Postnikov systems (Acta Math., Vol. 107, 1962, pp. 73-123). | MR 25 #4525 | Zbl 0104.39704
,[La] Sur la cohomologie modulo p des p-groupes abéliens élémentaires (Proc. Durham Symp. on Homotopy Theory, LMS, Camb. Univ. Press, 1987). | MR 89e:55037 | Zbl 0654.55013
,[LS1] Sur la structure des A-modules injectifs instables (Topology, Vol. 28, n° 2, 1989, pp. 153-169). | MR 90h:55027 | Zbl 0683.55016
et ,[LS2] Foncteurs analytiques, représentations modulaires et A-modules instables (en préparation).
et ,[LZ1] Sur les U-injectifs (Ann. Scient. Ec. Norm. Sup. 19, 1986, pp. 1-31). | Numdam | MR 89a:55032 | Zbl 0608.18006
et ,[LZ2] Foncteurs dérivés de la déstabilisation (Math. Z., Vol. 194, 1987, pp. 25-39). | MR 88j:55014 | Zbl 0627.55014
et ,[Mc] Symmetric functions and Hall polynomials (Clarendon Press, Oxford, 1979). | MR 84g:05003 | Zbl 0487.20007
,[Mi] The Sullivan conjecture on maps from classifying spaces (Ann. Math., Vol. 120, 1984, pp. 39-87). | MR 85i:55012 | Zbl 0552.55014
,[Mi] The Steenrod algebra and its dual (Ann. Math., Vol. 67, 1958, pp. 150-171). | MR 20 #6092 | Zbl 0080.38003
,[Mit] On the Steinberg module, representations of the symmetric groups and the Steenrod algebra (JPAA 39, 1986, pp. 275-281). | MR 87d:55020 | Zbl 0593.20006
,[MitP] Stable splittings derived from the Steinberg module (Topology, Vol. 22, 1983, pp. 285-298). | MR 85f:55005 | Zbl 0526.55010
and ,[MP] The mod 2 cohomology structure of certain fibre spaces (Memoirs of the AMS 74, 1962). | MR 37 #2226 | Zbl 0168.44002
and ,[Qui] The spectrum of an equivariant cohomology ring, I, II (Ann. Math., Vol. 94, 1971, pp. 549-572 ; pp. 573-602). | MR 45 #7743 | Zbl 0247.57013
,[Sc] La filtration nilpotente de la catégorie U et la cohomologie des espaces de lacets (Proc. Louvain-la-Neuve, 1986, SLNM, 1318). | MR 89f:55013 | Zbl 0665.55003
,[SS] 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 85m:55021 | Zbl 0545.55009
and ,[St] Cohomology operations, Ann. of Math. Studies 50, Princ. Univ. Press, 1962. | MR 26 #3056 | Zbl 0102.38104
and ,[W] 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).
,