@incollection{SB_1999-2000__42__369_0, author = {Pirashvili, Teimuraz}, title = {Polynomial functors over finite fields}, booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879}, author = {Collectif}, series = {Ast\'erisque}, note = {talk:877}, publisher = {Soci\'et\'e math\'ematique de France}, number = {276}, year = {2002}, zbl = {0999.19003}, mrnumber = {1886766}, language = {en}, url = {http://www.numdam.org/item/SB_1999-2000__42__369_0/} }
TY - CHAP AU - Pirashvili, Teimuraz TI - Polynomial functors over finite fields BT - Séminaire Bourbaki : volume 1999/2000, exposés 865-879 AU - Collectif T3 - Astérisque N1 - talk:877 PY - 2002 DA - 2002/// IS - 276 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1999-2000__42__369_0/ UR - https://zbmath.org/?q=an%3A0999.19003 UR - https://www.ams.org/mathscinet-getitem?mr=1886766 LA - en ID - SB_1999-2000__42__369_0 ER -
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://www.numdam.org/item/SB_1999-2000__42__369_0/
[1] Stable -theory of finite fields. -Theory 17 (1999), no. 2, 103-111. | MR 1696427 | Zbl 0929.19002
.[2] Stable -theory as a derived functor. J. Pure Appl. Algebra 96 (1994), no. 3, 245-258. | MR 1303284 | Zbl 0812.19002
& .[3] On the topological Hochschild homology of and . Bielefeld (1987).
.[4] Extensions du groupe additif. Publ. Ihes 48 (1978), 39-125. | Numdam | MR 516914 | Zbl 0404.14018
.[5] Rational and generic cohomology. Invent. Math. 39 (1977), 143-163. | MR 439856 | Zbl 0336.20036
, , & .[6] On Schur algebras and related algebras. I. J. Algebra 104 (1986), 310-328. | MR 866778 | Zbl 0606.20038
.[7] On Schur algebras and related algebras. II. J. Algebra 111 (1987), 354-364. | MR 916172 | Zbl 0634.20019
.[8] Stable K-theory and topological Hochschild homology, Ann. of Math. 140 (1994), 685-701; erratum: Ann. of Math. 142 (1995), 425-426. | MR 1307900 | Zbl 0839.55003
& .[9] Twisted homological stability for general linear groups. Ann. of Math. 111 (1980), 239-251. | MR 569072 | Zbl 0404.18012
.[10] On the groups . II. Ann. of Math. 60 (1954), 49-139. | Zbl 0055.41704
. & .[11] Extensions entre puissances extérieures et entre puissances symétriques. J. Algebra 179 (1996), 501-522. | MR 1367860 | Zbl 0841.55012
.[12] Autour de la cohomologie de Mac Lane des corps finis. Invent. Math. 115 (1994), 513-538. | MR 1262942 | Zbl 0798.18009
, & .[13] General linear and functor cohomology over finite fields. Ann. of Math. (2) 150 (1999), 663-728. | MR 1726705 | Zbl 0952.20035
, , & .[14] Cohomology of finite group schemes over a field. Invent. Math. 127(1997), 209-270. | MR 1427618 | Zbl 0945.14028
& .[15] Polynomial representations of . Lecture Notes in Mathematics 830. Springer-Verlag, (1980). | MR 606556 | Zbl 0451.20037
.[16] The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects. Amer. J. Math. 115 (1993), 1053-1106. | MR 1246184 | Zbl 0805.55011
, & .[17] Localizations of unstable -modules and equivariant mod cohomology. Math. Ann. 301 (1995), 23-68. | MR 1312569 | Zbl 0869.55016
, & .[18] Representations of algebraic groups. Pure and Applied Mathematics 131. Academic Press, Inc., Boston, Ma (1987). | MR 899071 | Zbl 0654.20039
.[19] Cohomology of algebraic theories. J. Algebra 137 (1991), 253-296. | MR 1094244 | Zbl 0724.18005
& .[20] Generic representations of the finite general linear groups and the Steenrod algebra. I. Amer. J. Math. 116 (1994), 327-360. | MR 1269607 | Zbl 0813.20049
.[21] Generic representations of the finite general linear groups and the Steenrod algebra. II. -Theory 8 (1994), 395-428. | MR 1300547 | Zbl 0830.20065
.[22] Generic representations of the finite general linear groups and the Steenrod algebra. III. -Theory 9 (1995), 273-303. | MR 1344142 | Zbl 0831.20057
.[23] On topologically realizing modules over the Steenrod algebra. Ann. of Math. (2) 141 (1995), 321-347. | MR 1324137 | Zbl 0849.55022
.[24] Symmetric functions and Hall polynomials. Second edition. Oxford University Press (1995). | MR 1354144 | Zbl 0899.05068
.[25] Schur algebras and representation theory. Cambridge University Press (1993). | MR 1268640 | Zbl 0802.20011
.[26] Polynomial functors. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. Ssr 91 (1988), 55-66. | MR 1029007 | Zbl 0705.18009
.[27] Higher additivizations. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. Ssr 91 (1988), 44-54. | MR 1029006 | Zbl 0705.18008
.[28] New homology and cohomology of rings. (Russian) Soobshch. Akad. Nauk Gruzin. Ssr 133 (1989), no. 3, 477-480. | MR 1033967 | Zbl 0676.16024
.[29] Mac Lane homology and topological Hochschild homology. J. Pure Appl. Algebra 82 (1992), no. 1, 81-98. | MR 1181095 | Zbl 0767.55010
& .[30] Extensions de foncteurs simples. -Theory 15 (1998), 269-291. | MR 1659961 | Zbl 0918.20036
& .[31] The Artinian conjecture for . J. Pure Appl. Algebra 128 (1998), 291-310. | Zbl 0928.18004
.[32] Lois polynômes et lois formelles en théorie des modules. Ann. Sci. Éc. Norm. Sup. (3) 80 (1963) 213-348. | Numdam | MR 161887 | Zbl 0117.02302
.[33] On the cohomology and -theory of the general groups over a finite field, Ann. of Math. 96 (1972), 552-586. | MR 315016 | Zbl 0249.18022
.[34] Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture. University of Chicago Press (1994). | MR 1282727 | Zbl 0871.55001
.[35] À propos de la conjecture de non-réalisation due à N. Kuhn. Invent. Math. 134 (1998), no. 1, 211-227. | MR 1646599 | Zbl 0919.55007
.[36] Projective resolutions of representations of . J. Reine Angew. Math. 482 (1997), 1-13. | MR 1427655 | Zbl 0859.20034
.