Combinatorial Laplacian of the Matching Complex
Copyright policy )Combinatorial Laplacian of the Matching Complex
A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We show how the combinatorial Laplacian can be used to give an elegant proof of this result. We also show that the spectrum of the Laplacian is integral.
- University System of Ohio United States
- California Institute of Technology United States
- Miami University United States
- University of Minnesota United States
- University of Minnesota Morris United States
Simplicial sets and complexes in algebraic topology, Symmetric functions and generalizations, combinatorial Laplacian, Combinatorial aspects of representation theory, Group actions on posets, etc., Representations of finite symmetric groups, matching complex, representation of the symmetric group
Simplicial sets and complexes in algebraic topology, Symmetric functions and generalizations, combinatorial Laplacian, Combinatorial aspects of representation theory, Group actions on posets, etc., Representations of finite symmetric groups, matching complex, representation of the symmetric group
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