Classification of involutions on graded-division simple real algebras

Abstract

We classify, up to isomorphism and up to equivalence, involutions on graded-division finite-dimensional simple real (associative) algebras, when the grading group is abelian.

29 pages, 2 figures. This is the accepted manuscript (accommodating the referee's suggestions) of the article published in Linear Algebra and its Applications

References in corpus (3)

• Group Gradings on Simple Lie Algebras of Type "A"
• Gradings on classical central simple real Lie algebras
• Graded Division Algebras over the Field of Real Numbers

Cited by in corpus (7)

• Gradings on classical central simple real Lie algebras
• Gradings on the simple real Lie algebras of types $G_2$ and $D_4$
• Gradings on associative algebras with involution and real forms of classical simple Lie algebras
• Clifford algebras as twisted group algebras and the Arf invariant
• Fine gradings and automorphism groups on associative algebras
• Gradings on the real form ${\mathfrak{e}}_{6,-14}$
• Gradings on simple real Lie algebras