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On some properties of the algebra of binary trees. (Sur quelques propriétés de l’algèbre des arbres binaires.) (French) Zbl 1029.05033
Summary: We define an involution which reduces to a block triangular form the Gram matrices of the algebra of planar binary trees. This leads us to conjecture the existence of a tower of algebras admitting the latter as its Grothendieck ring.

05C05 Trees
Full Text: DOI
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