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arXiv:1607.07490 [math-ph]AbstractReferencesReviewsResources

Representations of Spin(4), Spin(2,2) and Spin(3,1)

Ali Delbaznasab, MohammadReza Molaei

Published 2016-07-25Version 1

In this essay we present an outer product on R^6, and we show that R^6 with this outer product can take three kinds of Lie brackets. We prove that R^6 with these Lie brackets take the structures of so(4), so(2,2) and so(3,1). We also deduce a 4-dimensional submanifold of R^6 with an almost complex structure.

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