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» Hopf Structures on the Multiplihedra
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SIAMDM
2010
111views more  SIAMDM 2010»
12 years 11 months ago
Hopf Structures on the Multiplihedra
We investigate algebraic structures that can be placed on vertices of the multiplihedra, a family of polytopes originating in the study of higher categories and homotopy theory. Mo...
Stefan Forcey, Aaron Lauve, Frank Sottile
FOCM
2008
73views more  FOCM 2008»
13 years 4 months ago
On the Hopf Algebraic Structure of Lie Group Integrators
Hans Z. Munthe-Kaas, Will M. Wright
CDC
2009
IEEE
143views Control Systems» more  CDC 2009»
13 years 9 months ago
Control interpretations of products in the Hopf algebra
Abstract— Families of differential operators, like those defining affine, generally nonlinear, control systems are known to have natural Hopf algebra structures. These provide ...
Matthias Kawski
IJRR
2010
114views more  IJRR 2010»
13 years 3 months ago
Generating Uniform Incremental Grids on SO(3) Using the Hopf Fibration
Abstract The problem of generating uniform deterministic samples over the rotation group, SO(3), is fundamental to many fields, such as computational structural biology, robotics,...
Anna Yershova, Swati Jain, Steven M. LaValle, Juli...
FOCM
2006
76views more  FOCM 2006»
13 years 4 months ago
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
A. Murua