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Thomas Zaslavsky (Binghamton)

Root Systems, Angle Representations, and Signed Graphs

Abstract for the Combinatorics Seminar 2013 February 19, 26

Equiangular lines are lines that all make the same angle with each other. Take a unit vector in each line. The matrix of inner products of these vectors is (except for the units in its diagonal) a fixed multiple of a signed-graph adjacency matrix. Examples are the classical root systems An and Dn. I will ramble on about these topics and their connection with signed graphs and regular two-graphs for an hour or so.

seminars/comb/abstract.201302zasa.txt · Last modified: 2020/01/29 14:03 (external edit)