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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Baxter algebras and Hopf algebras


Authors: George E. Andrews, Li Guo, William Keigher and Ken Ono
Journal: Trans. Amer. Math. Soc. 355 (2003), 4639-4656
MSC (2000): Primary 16W30, 16W99
Published electronically: May 15, 2003
MathSciNet review: 1990765
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Abstract: By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study conditions under which these Hopf algebras are isomorphic.


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Additional Information

George E. Andrews
Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
Email: andrews@math.psu.edu

Li Guo
Affiliation: Department of Mathematics and Computer Science, Rutgers University at Newark, Newark, New Jersey 07102
Email: liguo@newark.rutgers.edu

William Keigher
Affiliation: Department of Mathematics and Computer Science, Rutgers University at Newark, Newark, New Jersey 07102
Email: keigher@newark.rutgers.edu

Ken Ono
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: ono@math.wisc.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03326-9
PII: S 0002-9947(03)03326-9
Keywords: Free Baxter algebra, Hopf algebra, divided power
Received by editor(s): January 24, 2003
Published electronically: May 15, 2003
Additional Notes: The first and fourth authors are supported by grants from the National Science Foundation, and the fourth author is supported by Alfred P. Sloan, David and Lucile Packard, and H. I. Romnes Fellowships.
Article copyright: © Copyright 2003 American Mathematical Society