Antonella Zanna
Institute
University of Bergen
Address
Johannes Brunsgt 12
N-5008 Bergen, Norway
Presentation
oral
(Plenary talk)
Title
Generalized polar coordinates on Lie groups
Abstract
We present a new family of local coordinate on Lie groups (generalized polar coordinates) based on splitting. The splitting (at the algebra level) is derived using a sequence of nested sub-algebras obtained as the range of appropriate projection operators derived from involutive algebra automorphisms. Through the exponential map, the nested algebra-splitting defines a new family of coordinate maps on the underlying Lie group G. We also derive the formulas for the tangent coordinate maps and their
inverses, necessary when solving ordinary differential equations on the group. The coordinate maps, tangent, and inverse tangent maps, can be computed efficiently for some low-rank splittings.
Note: If
you wish to modify or update informations on this page, please email us at hairer60@unige.ch
