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Lie Groups and Representation Theory
Seminar information archive ～06/25｜Next seminar｜Future seminars 06/26～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2008/01/15
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Fulton Gonzalez (Tufts University)
Group contractions, invariant differential operators and the matrix Radon transform
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
Fulton Gonzalez (Tufts University)
Group contractions, invariant differential operators and the matrix Radon transform
[ Abstract ]
Let Mn,k denote the vector space of real ntimesk matrices.
The matrix motion group is the semidirect product (textO(n)timestextO(k))ltimesMn,k, and is the Cartan motion group
associated with the real Grassmannian Gn,n+k.
The matrix Radon transform is an
integral transform associated with a double fibration involving
homogeneous spaces of this group. We provide a set of
algebraically independent generators of the subalgebra of its
universal enveloping algebra invariant under the Adjoint
representation. One of the elements of this set characterizes the range of the matrix Radon transform.
[ Reference URL ]Let Mn,k denote the vector space of real ntimesk matrices.
The matrix motion group is the semidirect product (textO(n)timestextO(k))ltimesMn,k, and is the Cartan motion group
associated with the real Grassmannian Gn,n+k.
The matrix Radon transform is an
integral transform associated with a double fibration involving
homogeneous spaces of this group. We provide a set of
algebraically independent generators of the subalgebra of its
universal enveloping algebra invariant under the Adjoint
representation. One of the elements of this set characterizes the range of the matrix Radon transform.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
