Bernstein graph algebras

被引:0
作者
Harold N. Ward
机构
[1] University of Virginia,Department of Mathematics
来源
Archiv der Mathematik | 2021年 / 116卷
关键词
Bernstein algebra; Graph; Automorphism; Primary 17A30; Secondary 05C25;
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中图分类号
学科分类号
摘要
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.
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页码:501 / 508
页数:7
相关论文
共 4 条
[1]  
Costa R(1997)A class of exceptional Bernstein algebras associated to graphs Comm. Algebra 25 2129-2139
[2]  
Guzzo H(1999)Graphs and non-associative algebras J. Math. Sci. (New York) 93 877-882
[3]  
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[4]  
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