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Abstract: . We introduce a convenient category of combinatorial objects, known as cell-sets, on which we study the properties of the appropriate free abelian group functor. We obtain a versatile generalization of the notion of incidence coalgebra, giving rise to an abundance of coalgebras, Hopf algebras, and comodules, all of whose structure constants are positive integers with respect to certain preferred bases. Our category unifies and extends existing constructions in algebraic combinatorics,... (Update)
Context of citations to this paper: More
...products and reciprocals. Several of the underlying ideas are rooted in algebraic combinatorics, especially the coalgebraic framework of [16], and have been applied in [4] to the study of quantum doubling constructions [13] in algebraic topology. Our project has been stimulated...
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BibTeX entry: (Update)
Nigel Ray and William Schmitt. Combinatorial models for coalgebraic structures. Preprint, University of Memphis, 1997. http://citeseer.ist.psu.edu/ray97combinatorial.html More
@misc{ ray97combinatorial,
author = "N. Ray and W. Schmitt",
title = "Combinatorial models for coalgebraic structures",
text = "Nigel Ray and William Schmitt. Combinatorial models for coalgebraic structures.
Preprint, University of Memphis, 1997.",
year = "1997",
url = "citeseer.ist.psu.edu/ray97combinatorial.html" }
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1 Combinatorial models for certain structures in algebraic top.. - Lenart - 1996
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1 Combinatorial models for Steenrod comodules (context) - Ray, Schmitt - 1997
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1 Hopf algebras in enumerative combinatorics (context) - Schmitt - 1995
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