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Support varieties for infinitesimal group schemes

Author(s): Andrei Suslin; Eric M. Friedlander; Christopher P. Bendel
Journal: J. Amer. Math. Soc. 10 (1997), 729-759.
MSC (1991): Primary 14L15, 20C20, 20G10; Secondary 17B50
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References:

[A-E]
J. Alperin and L. Evens, Representations, resolutions, and Quillen's dimension theorem, J.P.A.A. 22 (1981), 1-9. MR 82j:20020

[A-J]
H Andersen and J. Jantzen, Cohomology of induced representations for algebraic groups, Math. Ann. 269 (1985), 487-525. MR 86g:20057

[A-S]
G. Avrunin and L. Scott, Quillen stratification for modules, Inventiones Math. 66 (1982), 277-286. MR 83h:20048

[B]
H.Bass, Algebraic K-theory (W.A.Benjamin, Inc, ed.), 1968. MR 40:2736

[C1]
J. Carlson, The varieties and the cohomology ring of a module, J. Algebra 85 (1983), 104-143. MR 85a:20004

[C2]
J. Carlson, The variety of an indecomposable module is connected, Inventiones Math. 77 (1984), 291-299. MR 86b:20009

[CPS]
E. Cline, B. Parshall, and L. Scott, On injective modules for infinitesimal algebraic groups, I, J. Lond Math. Soc. 31 (1985), 277-291. MR 87c:20077

[CPSvdK]
E. Cline, B. Parhall, L. Scott, and W. van der Kallen, Rational and generic cohomology, Inventiones Math. 39 (1977), 143-163. MR 55:12737

[D-G]
M. Demazure and P. Gabriel, Groupes algébriques I (Masson/North-Holland, ed.), 1970. MR 46:1800

[D]
A. Dold, Über die Steenrodschen Kohomologieoperationen, Ann. Math 73 (1961), 258-294. MR 23:A646

[E]
L. Evens, The Cohomology of Groups (Oxford Univ. Press, ed.), 1991. MR 93i:20059

[FP1]
E. Friedlander and B. Parshall, On the cohomology of algebraic groups and related finite groups, Inventiones Math. 74 (1983), 85-117. MR 85d:20035

[FP2]
E. Friedlander and B. Parshall, Cohomology of Lie algebras and algebraic groups, Amer. J. Math. 108 (1986), 235-253. MR 87c:20080

[FP3]
E. Friedlander and B. Parshall, Geometry of p-Unipotent Lie algebras, J. Algebra 109 (1987), 25-45. MR 89a:17017

[FP4]
E. Friedlander and B. Parshall, Support varieties for restricted Lie algebras, Inventiones Math. 86 (1986), 553-562. MR 88f:17018

[F-S]
E. Friedlander and A. Suslin, Cohomology of finite group schemes over a field, Inventiones Math. 127 (1997), 209-270. CMP 97:06

[J1]
J. Jantzen, Kohomologie von $p$-Lie Algebren und nilpotente Elemente, Abh. Math. Sem. Univ. Hamburg 56 (1986), 191-219. MR 88e:17019

[J]
J. Jantzen, Representations of Algebraic Groups (Academic Press, ed.), 1987. MR 89c:20001

[K]
W. van der Kallen, Infinitesimally central extensions of $Spin_{7}$ in characteristic 2, J.P.A.A. 14 (1979), 39-49. MR 81h:20050

[M]
J. P. May, A general algebraic approach to Steenrod operations., The Steenrod Algebra and its Applications (Springer Verlag, LNM 168, ed.), 1970, pp. 153-231. MR 43:6915

[Mi]
J. S. Milne, Etale Cohomology (Princeton Unversity Press, ed.), 1980. MR 81j:14002

[P]
S. Priddy, Mod-$p$ right derived functor algebras of the symmetric algebra functor, J.P.A.A. 3 (1973), 337-356. MR 49:7338

[Q]
D. Quillen, The spectrum of an equivariant cohomology ring: I, II, Ann. Math. 94 (1971), 549-572, 573-602. MR 45:7743

[Q-V]
D. Quillen and B. Venkov, Cohomology of finite groups and elementary abelian subgroups, Topology 11 (1972), 317-318. MR 45:3576

[S]
J.-P. Serre, Sur la dimension cohomologique des groupes profinis, Topology 3 (1965), 413-420. MR 31:4853

[S-F-B]
A. Suslin, E. Friedlander, and C. Bendel, Infinitesimal 1-parameter subgroups and cohomology, Journal of the American Mathematical Society (this volume).

[SGA1]
A.Grothendieck, Revêtements Étales et Groupe Fondamental (Springer Verlag, LNM 224, ed.), 1971. MR 50:7129


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Additional Information:

Andrei Suslin
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: suslin@math.nwu.edu

Eric M. Friedlander
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: eric@math.nwu.edu

Christopher P. Bendel
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: bendelmath.nwu.edu

DOI: 10.1090/S0894-0347-97-00239-7
PII: S 0894-0347(97)00239-7
Keywords: Infinitesimal group schemes, support varieties, 1-parameter subgroups.
Received by editor(s): October 25, 1996
Received by editor(s) in revised form: March 20, 1997
Additional Notes: The first author was partially supported by I.S.F. grant 0100 and N.S.F. grant DMS - 9510242.
The second author was partially supported by the N.S.F. and the Humboldt Foundation.
Copyright of article: Copyright 1997, American Mathematical Society


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