ON THE SHAPE OF NUMERICAL RANGES ASSOCIATED WITH LIE GROUPS
نویسندگان
چکیده
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولShape Analysis on Lie Groups with Applications in Computer Animation
Shape analysis methods have in the past few years become very popular, both for theoretical exploration as well as from an application point of view. Originally developed for planar curves, these methods have been expanded to higher dimensional curves, surfaces, activities, character motions and many other objects. In this paper, we develop a framework for shape analysis of curves in Lie groups...
متن کاملPlotting the Generalized Numerical Ranges Associated with the Compact Classical Groups
We prove an ellitpical range theorem for the numerical range associated with SO(3). The geometry behind the elliptical range theorem is explained. The result is analogous to the well-known elliptical range theorem of the C-numerical range associated with U(2) or SU(2). We then apply the result to give some necessary conditions of the sharp points of the C-numerical range assoicated with SO(n) w...
متن کاملNumerical Analysis in Lie Groups
There is growing recognition in the last few years that Lie groups and homogeneous spaces are often the right connguration space for the dis-cretization of time-dependent diierential equations. In this paper we review brieey recent advances in Lie-group calculations, concentrating mainly on approximation methods that advance a trivialised version of the diierential equation in a Lie algebra in ...
متن کاملOn the Lie Algebras Associated with Pure Mapping Class Groups
Mapping class group is an important object in Topology, Complex Analysis, Algebraic Geometry and other domains. It is a lucky case when the method of Algebraic Topology works perfectly well, the application of the functor of fundamental group completely solves the topological problem: group of isotopy classes of homeomorphisms is described in terms of automorphisms of the fundamental group of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2001
ISSN: 1027-5487
DOI: 10.11650/twjm/1500574945