Baxter algebras and Hopf algebras

George E. Andrews; Li Guo; William Keigher; Ken Ono

doi:10.1090/S0002-9947-03-03326-9

Baxter algebras and Hopf algebras

George E. Andrews
, Li Guo
, William Keigher
, Ken Ono

Mathematics

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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.

Original language	English (US)
Pages (from-to)	4639-4656
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	355
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9947-03-03326-9
State	Published - Nov 2003

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-03-03326-9

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title = "Baxter algebras and Hopf algebras",

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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T1 - Baxter algebras and Hopf algebras

AU - Andrews, George E.

AU - Guo, Li

AU - Keigher, William

AU - Ono, Ken

PY - 2003/11

Y1 - 2003/11

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0242382074

UR - https://www.scopus.com/pages/publications/0242382074#tab=citedBy

U2 - 10.1090/S0002-9947-03-03326-9

DO - 10.1090/S0002-9947-03-03326-9

M3 - Article

AN - SCOPUS:0242382074

SN - 0002-9947

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EP - 4656

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

ER -

Baxter algebras and Hopf algebras

Abstract

All Science Journal Classification (ASJC) codes

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