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Combinatorial Realization of Certain Hopf Algebras of Pattern-Avoiding Permutations

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Author(s): Shirley Elizabeth Law
Series: PhD thesis at North Carolina State University
Year: 2013

Language: English
Commentary: Downloaded from https://repository.lib.ncsu.edu/handle/1840.16/8814?show=full

LIST OF FIGURES
Introduction
Background
Hopf Algebra of Pattern-avoiding Permutations
Combinatorial Realizations
The Hopf Algebra of Sashes
Pell Permutations and Sashes
The Hopf Algebra (and Dual Hopf Algebra) of Sashes
Product
Dual Coproduct
Dual Product
Coproduct
The Hopf Algebra of Partial Evaluations
Limited Descent Avoiders and Partial Evaluations
The Hopf Algebra of Partial Evaluations
REFERENCES