Turkish Journal of Mathematics
DOI
10.3906/mat-0904-20
Abstract
Our main purpose is to develop the theory of existence of superantiautomorphisms of order two of the second kind (which are caled superinvolutions of the second kind) on finite dimensional central simple superalgebras A=M_n(D), where D is a finite dimensional division superalgebra with nontrivial grading over K, where K is a field of any characteristic. We determine which finite dimensional central simple superalgebras posses a superinvolution of the second kind and put these results in the context of the Albert-Reihm Theorem on the existence of involutions of the second kind.
Keywords
Central simple superalgebras, Superantiautomorphisms, Superinvolutions, Brauer-Wall Groups
First Page
11
Last Page
21
Recommended Citation
JABER, AMEER
(2011)
"Central simple superalgebras with superantiautomorphism of order two of the second kind,"
Turkish Journal of Mathematics: Vol. 35:
No.
1, Article 2.
https://doi.org/10.3906/mat-0904-20
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss1/2
