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The planar algebra of a semisimple and cosemisimple Hopf algebra

✍ Scribed by Kodiyalam, Vijay ;Sunder, V. S.


Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
249 KB
Volume
116
Category
Article
ISSN
0370-0089

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Hopf Algebra of the Planar Binary Trees
✍ Jean-Louis Loday; MarΔ±́a O. Ronco πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 416 KB

Let k be a field and let S n be the symmetric group. The group algebra k[S n ] contains the Solomon descent algebra, which is of dimension 2 n&1 . In [MR] Malvenuto and Reutenauer construct a graded Hopf algebra structure on so that the sum of the Solomon descent algebras There is a basis In betw