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Lie Groups and Representation Theory
Seminar information archive ～09/19｜Next seminar｜Future seminars 09/20～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2011/10/25
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Yoshiki Oshima (Graduate School of Mathematical Sciences, the University of Tokyo)
Localization of Cohomological Induction (ENGLISH)
Yoshiki Oshima (Graduate School of Mathematical Sciences, the University of Tokyo)
Localization of Cohomological Induction (ENGLISH)
[ Abstract ]
Cohomological induction is defined for (g,K)-modules in an algebraic way and construct important representations such as (Harish-Chandra modules of) discrete series representations,
principal series representations and Zuckerman's modules of
semisimple Lie groups.
Hecht, Milicic, Schmid, and Wolf proved that modules induced from
one-dimensional representations of Borel subalgebra can be realized as D-modules on the flag variety.
In this talk, we show a similar result for modules induced from
more general representations.
Cohomological induction is defined for (g,K)-modules in an algebraic way and construct important representations such as (Harish-Chandra modules of) discrete series representations,
principal series representations and Zuckerman's modules of
semisimple Lie groups.
Hecht, Milicic, Schmid, and Wolf proved that modules induced from
one-dimensional representations of Borel subalgebra can be realized as D-modules on the flag variety.
In this talk, we show a similar result for modules induced from
more general representations.
