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Bernstein graph algebras

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A simple graph defines an associated Bernstein superalgebra. Costa and Grishkov showed that graphs with isomorphic algebras are isomorphic using algebraic group techniques. We prove combinatorially that the superalgebra determines… Click to show full abstract

A simple graph defines an associated Bernstein superalgebra. Costa and Grishkov showed that graphs with isomorphic algebras are isomorphic using algebraic group techniques. We prove combinatorially that the superalgebra determines the graph for any field of characteristic not 2, and we describe the automorphisms of the superalgebra.

Keywords: graph algebras; bernstein graph

Journal Title: Archiv der Mathematik
Year Published: 2021

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