Infinitesimal 1-parameter subgroups

and cohomology

Authors:
Andrei Suslin, Eric M. Friedlander and Christopher P. Bendel

Journal:
J. Amer. Math. Soc. **10** (1997), 693-728

MSC (1991):
Primary 14L15, 20G10, 20C20; Secondary 17B50

DOI:
https://doi.org/10.1090/S0894-0347-97-00240-3

MathSciNet review:
1443546

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[A-J]**H. Andersen and J. Jantzen,*Cohomology of induced representations for algebraic groups*, Math. Annalen**269**(1985), 487-525. MR**86g:20057****[CPSvdK]**E. Cline, B. Parshall, L. Scott, and W. van der Kallen,*Rational and generic cohomology*, Inventiones Math.**39**(1977), 143-163. MR**55:12737****[D]**W. Dwyer,*Twisted homological stability for general linear groups*, Annals of Math.**111**(1980), 239-251. MR**81b:18006****[D-G]**M. Demazure and P. Gabriel,*Groupes algébriques I*(Masson/North-Holland, ed.), 1970. MR**46:1800****[D-M]**B. Dundas and R. McCarthy,*Stable K-theory and Hochschild homology*, Annals of Math.**142**(1994), 685-701. MR**96e:19005a**; MR**96e:19005b****[F-P]**E. Friedlander and B. Parshall,*Cohomology of Lie algebras and algebraic groups*, Amer. J. Math.**108**(1986), 235-253. MR**87c:20080****[F-S]**E. Friedlander and A. Suslin,*Cohomology of finite group schemes over a field*, Inventiones Math.**127**(1997), 209-270. CMP**97:06****[G]**D. Gross,*Higher nullcones and commuting varieties*, Comm. in Algebra**21**(1993), 1427-1455. MR**94g:20059****[J1]**J. Jantzen,*Kohomologie von -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****[M]**J.P. May,*The cohomology of restricted Lie algebras and of Hopf algebras*, J. Algebra**3**(1966), 123-146. MR**33:1347****[Q]**D. Quillen,*Higher algebraic K-theory I*, Algebraic K-Theory I (Springer-Verlag, Lecture Notes in Math 341, ed.), 1973, pp. 85-147. MR**49:2895****[SFB]**A. Suslin, E. Friedlander, and C. Bendel,*Support varieties for infinitesimal group schemes*, Journal of the American Mathematical Society (this volume).

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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:
bendel@math.nwu.edu

DOI:
https://doi.org/10.1090/S0894-0347-97-00240-3

Keywords:
Infinitesimal group schemes,
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.

Article copyright:
© Copyright 1997
American Mathematical Society