Infinitesimal 1-parameter subgroups and cohomology
HTML articles powered by AMS MathViewer
- by Andrei Suslin, Eric M. Friedlander and Christopher P. Bendel
- J. Amer. Math. Soc. 10 (1997), 693-728
- DOI: https://doi.org/10.1090/S0894-0347-97-00240-3
- PDF | Request permission
References
- Henning Haahr Andersen and Jens Carsten Jantzen, Cohomology of induced representations for algebraic groups, Math. Ann. 269 (1984), no. 4, 487–525. MR 766011, DOI 10.1007/BF01450762
- E. Cline, B. Parshall, L. Scott, and Wilberd van der Kallen, Rational and generic cohomology, Invent. Math. 39 (1977), no. 2, 143–163. MR 439856, DOI 10.1007/BF01390106
- W. G. Dwyer, Twisted homological stability for general linear groups, Ann. of Math. (2) 111 (1980), no. 2, 239–251. MR 569072, DOI 10.2307/1971200
- Michel Demazure and Pierre Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs, Masson & Cie, Éditeurs, Paris; North-Holland Publishing Co., Amsterdam, 1970 (French). Avec un appendice Corps de classes local par Michiel Hazewinkel. MR 0302656
- Bjørn Ian Dundas and Randy McCarthy, Stable $K$-theory and topological Hochschild homology, Ann. of Math. (2) 140 (1994), no. 3, 685–701. MR 1307900, DOI 10.2307/2118621
- Eric M. Friedlander and Brian J. Parshall, Cohomology of Lie algebras and algebraic groups, Amer. J. Math. 108 (1986), no. 1, 235–253 (1986). MR 821318, DOI 10.2307/2374473
- E. Friedlander and A. Suslin, Cohomology of finite group schemes over a field, Inventiones Math. 127 (1997), 209-270.
- David L. Gross, Higher nullcones and commuting varieties, Comm. Algebra 21 (1993), no. 5, 1427–1455. MR 1213966, DOI 10.1080/00927879308824630
- J. C. Jantzen, Kohomologie von $p$-Lie-Algebren und nilpotente Elemente, Abh. Math. Sem. Univ. Hamburg 56 (1986), 191–219 (German). MR 882415, DOI 10.1007/BF02941516
- Jens Carsten Jantzen, Representations of algebraic groups, Pure and Applied Mathematics, vol. 131, Academic Press, Inc., Boston, MA, 1987. MR 899071
- J. P. May, The cohomology of restricted Lie algebras and of Hopf algebras, J. Algebra 3 (1966), 123–146. MR 193126, DOI 10.1016/0021-8693(66)90009-3
- Daniel Quillen, Higher algebraic $K$-theory. I, Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 341, Springer, Berlin, 1973, pp. 85–147. MR 0338129
- A. Suslin, E. Friedlander, and C. Bendel, Support varieties for infinitesimal group schemes, Journal of the American Mathematical Society (this volume).
Bibliographic 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
- MR Author ID: 69420
- ORCID: 0000-0002-1443-1798
- Email: eric@math.nwu.edu
- Christopher P. Bendel
- Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
- MR Author ID: 618335
- Email: bendel@math.nwu.edu
- 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 1997 American Mathematical Society
- 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