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Table Algebras Obtained From Graphs

Dr. Allen Herman

Dr. Allen Herman / University of Regina, Canada

Table Algebras are an environment where one is able to play group theory in the absence of groups. Familiar group-theoretic tools, such as order of elements, order and index of subgroups, normal subgroups and quotient groups, homomorphisms, group actions, group representations, and characters are all available in the table algebra environment. but when can we recognize a finite dimensional algebra as a table algebra? In this talk we will investigate this question for certain types of algebras that are generated by the ordinary adjacency matrices of graphs.

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