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Lie群論・表現論セミナー
過去の記録 ～04/17｜次回の予定｜今後の予定 04/18～
| 開催情報 | 火曜日 16:30～18:00 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 小林俊行 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html |
2008年01月15日(火)
16:30-18:00 数理科学研究科棟(駒場) 126号室
Fulton Gonzalez 氏 (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 氏 (Tufts University)
Group contractions, invariant differential operators and the matrix Radon transform
[ 講演概要 ]
Let $M_{n,k}$ denote the vector space of real $n\\times k$ matrices.
The matrix motion group is the semidirect product $(\\text O(n)\\times \\text O(k))\\ltimes M_{n,k}$, and is the Cartan motion group
associated with the real Grassmannian $G_{n,n+k}$.
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.
[ 参考URL ]Let $M_{n,k}$ denote the vector space of real $n\\times k$ matrices.
The matrix motion group is the semidirect product $(\\text O(n)\\times \\text O(k))\\ltimes M_{n,k}$, and is the Cartan motion group
associated with the real Grassmannian $G_{n,n+k}$.
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
