Properly twisted groups and their algebras

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

A twist property is developed which imparts certain properties on the twisted
group algebra. These include an involution * satisfying (xy)*=y*x* and an inner
product satisfying = and =. Examples of twisted
group algebras having this property are the Cayley-Dickson algebras and
Clifford algebras.

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