Polynomial functors over finite fields

Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 877, 20 p.

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Pirashvili, Teimuraz. Polynomial functors over finite fields, dans Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 877, 20 p.. http://geodesic.mathdoc.fr/item/SB_1999-2000__42__369_0/

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     title = {Polynomial functors over finite fields},
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Bibliographie
Cité par

[1] S. Betley. Stable $K$ -theory of finite fields. $K$ -Theory 17 (1999), no. 2, 103-111. | Zbl | MR

[2] S. Betley & T. Pirashvili. Stable $K$ -theory as a derived functor. J. Pure Appl. Algebra 96 (1994), no. 3, 245-258. | Zbl | MR

[3] M. Bökstedt. On the topological Hochschild homology of $𝐙$ and $𝐙 / p 𝐙$ . Bielefeld (1987).

[4] L. Breen. Extensions du groupe additif. Publ. Ihes 48 (1978), 39-125. | Numdam | Zbl | MR

[5] E. Cline, B. Parshall, L. Scott & W. Van Der Kallen. Rational and generic cohomology. Invent. Math. 39 (1977), 143-163. | Zbl | MR

[6] S. Donkin. On Schur algebras and related algebras. I. J. Algebra 104 (1986), 310-328. | Zbl | MR

[7] S. Donkin. On Schur algebras and related algebras. II. J. Algebra 111 (1987), 354-364. | Zbl | MR

[8] B. Dundas & R. Mccarthy. Stable K-theory and topological Hochschild homology, Ann. of Math. 140 (1994), 685-701; erratum: Ann. of Math. 142 (1995), 425-426. | Zbl | MR

[9] W. Dwyer. Twisted homological stability for general linear groups. Ann. of Math. 111 (1980), 239-251. | Zbl | MR

[10] S. Eilenberg. & S. Mac Lane. On the groups $H (Π, n)$ . II. Ann. of Math. 60 (1954), 49-139. | Zbl

[11] V. Franjou. Extensions entre puissances extérieures et entre puissances symétriques. J. Algebra 179 (1996), 501-522. | Zbl | MR

[12] V. Franjou, J. Lannes & L. Schwartz. Autour de la cohomologie de Mac Lane des corps finis. Invent. Math. 115 (1994), 513-538. | Zbl | MR

[13] V. Franjou, E. Friedlander, A. Scorichenko & A. Suslin. General linear and functor cohomology over finite fields. Ann. of Math. (2) 150 (1999), 663-728. | Zbl | MR

[14] E. Friedlander & A. Suslin. Cohomology of finite group schemes over a field. Invent. Math. 127(1997), 209-270. | Zbl | MR

[15] J. A. Green. Polynomial representations of $G l_{n}$ . Lecture Notes in Mathematics 830. Springer-Verlag, (1980). | Zbl | MR

[16] H.-W. Henn, J. Lannes & L. Schwartz. The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects. Amer. J. Math. 115 (1993), 1053-1106. | Zbl | MR

[17] H.-W. Henn, J. Lannes & L. Schwartz. Localizations of unstable $A$ -modules and equivariant mod $p$ cohomology. Math. Ann. 301 (1995), 23-68. | Zbl | MR

[18] J. C. Jantzen. Representations of algebraic groups. Pure and Applied Mathematics 131. Academic Press, Inc., Boston, Ma (1987). | Zbl | MR

[19] M. Jibladze & T. Pirashvili. Cohomology of algebraic theories. J. Algebra 137 (1991), 253-296. | Zbl | MR

[20] N. J. Kuhn. Generic representations of the finite general linear groups and the Steenrod algebra. I. Amer. J. Math. 116 (1994), 327-360. | Zbl | MR

[21] N. J. Kuhn. Generic representations of the finite general linear groups and the Steenrod algebra. II. $K$ -Theory 8 (1994), 395-428. | Zbl | MR

[22] N. J. Kuhn. Generic representations of the finite general linear groups and the Steenrod algebra. III. $K$ -Theory 9 (1995), 273-303. | Zbl | MR

[23] N. J. Kuhn. On topologically realizing modules over the Steenrod algebra. Ann. of Math. (2) 141 (1995), 321-347. | Zbl | MR

[24] I. G. Macdonald. Symmetric functions and Hall polynomials. Second edition. Oxford University Press (1995). | Zbl | MR

[25] S. Martin. Schur algebras and representation theory. Cambridge University Press (1993). | Zbl | MR

[26] T. Pirashvili. Polynomial functors. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. Ssr 91 (1988), 55-66. | Zbl | MR

[27] T. Pirashvili. Higher additivizations. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. Ssr 91 (1988), 44-54. | Zbl | MR

[28] T. Pirashvili. New homology and cohomology of rings. (Russian) Soobshch. Akad. Nauk Gruzin. Ssr 133 (1989), no. 3, 477-480. | Zbl | MR

[29] T. Pirashvili & F. Waldhausen. Mac Lane homology and topological Hochschild homology. J. Pure Appl. Algebra 82 (1992), no. 1, 81-98. | Zbl | MR

[30] L. Piriou & L. Schwartz. Extensions de foncteurs simples. $K$ -Theory 15 (1998), 269-291. | Zbl | MR

[31] G. Powell. The Artinian conjecture for $I^{\otimes 2}$ . J. Pure Appl. Algebra 128 (1998), 291-310. | Zbl

[32] N. Roby. Lois polynômes et lois formelles en théorie des modules. Ann. Sci. Éc. Norm. Sup. (3) 80 (1963) 213-348. | Numdam | Zbl | MR

[33] D. Quillen. On the cohomology and $K$ -theory of the general groups over a finite field, Ann. of Math. 96 (1972), 552-586. | Zbl | MR

[34] L. Schwartz. Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture. University of Chicago Press (1994). | Zbl | MR

[35] L. Schwartz. À propos de la conjecture de non-réalisation due à N. Kuhn. Invent. Math. 134 (1998), no. 1, 211-227. | Zbl | MR

[36] B. Totaro. Projective resolutions of representations of $G l (n)$ . J. Reine Angew. Math. 482 (1997), 1-13. | Zbl | MR

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