Tight Frames for Eigenspaces of the Laplacian on Dual Polar Graphs

Details Tight Frames for Eigenspaces of the Laplacian on Dual Polar Graphs Tight Frames for Eigenspaces of the Laplacian on Dual Polar Graphs

2009-05-30

arxiv.org/abs/0906.0116v1

Mathematics

Combinatorics

18 pages, no figures

Scientific paper

We consider $\Gamma=(X,E)$ a dual polar graph and we give a tight frame on
each eigenspace of the Laplacian operator associated to $\Gamma$. We compute
the constants associated to each tight frame and as an application we give a
formula for the product in the Norton algebra attached to the eigenspace
corresponding to the second largest eigenvalue of the Laplacian.

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