Dyson’s classification and real division superalgebras
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DOI: 10.1007/jhep04(2021)299
Abstract: It is well-known that unitary irreducible representations of groups can be usefully classified in a 3-fold classification scheme: Real, Complex, Quaternionic. In 1962 Freeman Dyson pointed out that there is an analogous 10-fold classification of… read more here.
Keywords: classification real; fold classification; division superalgebras; dyson classification ... See more keywords
Duplication methods for embeddings of real division algebras
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DOI: 10.1142/s0219498822500633
Abstract: We introduce two groups of duplication processes that extend the well known Cayley–Dickson process. The first one allows to embed every 4-dimensional (4D) real unital algebra ???? into an 8D real unit... read more here.
Keywords: duplication; methods embeddings; real division; division algebras ... See more keywords