Automorphisms and Inner Automorphisms

Automorphisms and Inner Automorphisms

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 theorem of Skolem-Noether. Al...

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Main Authors: Ameer Jaber, Moh’D Yasein
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2016/3983895
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spelling doaj-6117d18bba314e7dbb6c500079cc7fd02020-11-24T23:57:33ZengHindawi LimitedJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/39838953983895Automorphisms and Inner AutomorphismsAmeer Jaber0Moh’D Yasein1Department of Mathematics, The Hashemite University, Zarqa 13115, JordanDepartment of Mathematics, The Hashemite University, Zarqa 13115, JordanLet 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 theorem of Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.http://dx.doi.org/10.1155/2016/3983895
collection DOAJ
language English
format Article
sources DOAJ
author Ameer Jaber
Moh’D Yasein
spellingShingle Ameer Jaber
Moh’D Yasein
Automorphisms and Inner Automorphisms
Journal of Mathematics
author_facet Ameer Jaber
Moh’D Yasein
author_sort Ameer Jaber
title Automorphisms and Inner Automorphisms
title_short Automorphisms and Inner Automorphisms
title_full Automorphisms and Inner Automorphisms
title_fullStr Automorphisms and Inner Automorphisms
title_full_unstemmed Automorphisms and Inner Automorphisms
title_sort automorphisms and inner automorphisms
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2016-01-01
description 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 theorem of Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.
url http://dx.doi.org/10.1155/2016/3983895
work_keys_str_mv AT ameerjaber automorphismsandinnerautomorphisms
AT mohdyasein automorphismsandinnerautomorphisms
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