m

Documents  17D25 | enregistrements trouvés : 2

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Algebra;Combinatorics;Lie Theory and Generalizations;Mathematical Physics

The Hopf algebra of Lie group integrators has been introduced by H. Munthe-Kaas and W. Wright as a tool to handle Runge-Kutta numerical methods on homogeneous spaces. It is spanned by planar rooted forests, possibly decorated. We will describe a canonical surjective Hopf algebra morphism onto the shuffle Hopf algebra which deserves to be called planar arborification. The space of primitive elements is a free post-Lie algebra, which in turn will permit us to describe the corresponding co-arborification process.
Joint work with Charles Curry (NTNU Trondheim), Kurusch Ebrahimi-Fard (NTNU) and Hans Z. Munthe-Kaas (Univ. Bergen).
The two triangles appearing at 24'04" and 25'19'' respectively should be understood as a #.
The Hopf algebra of Lie group integrators has been introduced by H. Munthe-Kaas and W. Wright as a tool to handle Runge-Kutta numerical methods on homogeneous spaces. It is spanned by planar rooted forests, possibly decorated. We will describe a canonical surjective Hopf algebra morphism onto the shuffle Hopf algebra which deserves to be called planar arborification. The space of primitive elements is a free post-Lie algebra, which in turn will ...

81T15 ; 16T05 ; 17D25 ; 65L06 ; 05C05

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- 287 p.
ISBN 978-3-540-54699-3

Encyclopaedia of mathematical sciences , 0057

Localisation : Collection 1er étage

algèbre # algèbre de Lie admissible # algèbre homologique # algèbre non associative # analyse combinatoire # anneau # anneau et algèbre de Mal'cev # anneau non associatif # condition de chaîne # groupe et algèbre dans la théorie quantique # généralisation de groupes # informatique théorique # mathématique discrète # problème de mot # structure additionnelle # topologie algébrique

16Pxx ; 16Wxx ; 17-XX ; 17D10 ; 17D25

... Lire [+]

Z