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Automorphisms and Inner Automorphisms


Affiliations
1 Department of Mathematics, The Hashemite University, Zarqa 13115, Jordan
 

Let K be a field of characteristic not 2 and let A = A0 + A1 be central simple superalgebra over K, and let * be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A, *) (i.e., commuting with *) by using the classical theoremof Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.
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  • Automorphisms and Inner Automorphisms

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Authors

Ameer Jaber
Department of Mathematics, The Hashemite University, Zarqa 13115, Jordan
Moh’D Yasein
Department of Mathematics, The Hashemite University, Zarqa 13115, Jordan

Abstract


Let K be a field of characteristic not 2 and let A = A0 + A1 be central simple superalgebra over K, and let * be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A, *) (i.e., commuting with *) by using the classical theoremof Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.