Lie Groups and Representation Theory
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Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2012/06/12
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Toshihisa Kubo (the University of Tokyo)
Conformally invariant systems of differential operators of non-Heisenberg parabolic type (ENGLISH)
Toshihisa Kubo (the University of Tokyo)
Conformally invariant systems of differential operators of non-Heisenberg parabolic type (ENGLISH)
[ Abstract ]
The wave operator in Minkowski space is a classical example of a conformally invariant differential operator.
Recently, the notion of conformality of one operator has been
generalized by Barchini-Kable-Zierau to systems of differential operators.
Such systems yield homomrophisms between generalized Verma modules. In this talk we build such systems of second-order differential operators in the maximal non-Heisenberg parabolic setting.
If time permits then we will discuss the corresponding homomorphisms between generalized Verma modules.
The wave operator in Minkowski space is a classical example of a conformally invariant differential operator.
Recently, the notion of conformality of one operator has been
generalized by Barchini-Kable-Zierau to systems of differential operators.
Such systems yield homomrophisms between generalized Verma modules. In this talk we build such systems of second-order differential operators in the maximal non-Heisenberg parabolic setting.
If time permits then we will discuss the corresponding homomorphisms between generalized Verma modules.