IJPAM: Volume 27, No. 1 (2006)

2-ASSOCIATIVE AND 2-COASSOCIATIVE HOPF
ALGEBRAS OF PLANAR BINARY BITREES

Zlatko Erjavec
Faculty of Organization and Informatics
University of Zagreb
Pavlinska 2, Varazdin, HR-42000, CROATIA
e-mail: zlatko.erjavec@foi.hr


Abstract.In this paper the 2-associative and 2-coassociative Hopf algebras on planar binary bitrees are constructed. Also, we prove that is possible to endow 2-coassociative coalgebra to 2-coassociative bialgebra.

Received: January 20, 2006

AMS Subject Classification: 16W30, 17A30, 81R60

Key Words and Phrases: bialgebra, Hopf algebra, 2-associative, shuffle, planar binary bitree

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 27
Issue: 1