کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606457 | 1337704 | 2010 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Polar representations of compact groups and convex hulls of their orbits
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Polar representations of compact groups and convex hulls of their orbits Polar representations of compact groups and convex hulls of their orbits](/preview/png/4606457.png)
چکیده انگلیسی
The paper contains a characterization of compact groups G⊆GL(v)G⊆GL(v), where vv is a finite-dimensional real vector space, which have the following property SP: the family of convex hulls of G-orbits is a semigroup with respect to the Minkowski addition. If G is finite, then SP holds if and only if G is a Coxeter group; if G is connected then SP is equivalent to the property to be polar. In general, G satisfies SP if and only if it is polar and its Weyl group is a Coxeter group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 28, Issue 5, October 2010, Pages 608–614
Journal: Differential Geometry and its Applications - Volume 28, Issue 5, October 2010, Pages 608–614
نویسندگان
V.M. Gichev,