Quantum Linear Groups and Representations of GL_n(F_q)

This year we will meet twice, and each time for at least a couple of days. The format of the meeting changes to a mix of giving lectures, as well as having working sessions and discussion groups. The first meeting is planned to be on 8./9. January 03. Volunteers are seeked who will prepare sections from [BDK].

Relevant Literature

[BDK] J. Brundan, R. Dipper and A. Kleshchev, Quantum linear groups and representations of ${\rm GL}\sb n(F\sb q)$. Mem. Amer. Math. Soc. 149 (2001), no. 706, viii+112 pp.

[DJ] R. Dipper and G. James: The $q$-Schur algebra. Proc. London Math. Soc. (3) 59 (1989), no. 1, 23--50.

[CPS] E.Cline, B.Parshall, L.Scott: Generic and $q$-rational representation theory. Publ. Res. Inst. Math. Sci. 35 (1999), no. 1, 31--90.

[CPSvdK] E.Cline, B.Parshall, L.Scott, and W. van der Kallen: Rational and generic cohomology. Invent. Math. 39 (1977), no. 2, 143--163.

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

[FS] E.Friedlander and A.Suslin: Cohomology of finite group schemes over a field. Invent. math. 129 (1997), 209--270.

Author: Anne Henke , tel: +44 (0)116 252 5237, e-mail: A.Henke@mcs.le.ac.uk, web-page: http://www.mcs.le.ac.uk/~ahenke
Last updated: 4th November 2002
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