Title of article
The existence of superinvolutions
Author/Authors
A. Elduque، نويسنده , , O. Villa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
22
From page
4338
To page
4359
Abstract
Superinvolutions on graded associative algebras constitute a source of Lie and Jordan superalgebras. Graded versions of the classical Albert and Albert–Riehm Theorems on the existence of superinvolutions are proven. Surprisingly, the existence of superinvolutions of the first kind is a rare phenomenon, as nontrivial central division superalgebras are never endowed with this kind of superinvolutions.
Keywords
Superinvolution , Albert Theorem , Albert–Riehm Theorem , Superalgebra , Central , Simple
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698618
Link To Document