REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS
Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 579-590
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This work defines a new algebraic structure, to be called an alternative Clifford algebra associated to a given quadratic form. I explored its representations, particularly concentrating on connections to the well-understood octonion algebras. I finished by suggesting directions for future research.
MUSGRAVE, STACY MARIE. REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS. Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 579-590. doi: 10.1017/S0017089514000500
@article{10_1017_S0017089514000500,
author = {MUSGRAVE, STACY MARIE},
title = {REPRESENTATIONS {OF} {ALTERNATIVE} {CLIFFORD} {ALGEBRAS} {OF} {QUADRATIC} {FORMS}},
journal = {Glasgow mathematical journal},
pages = {579--590},
year = {2015},
volume = {57},
number = {3},
doi = {10.1017/S0017089514000500},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000500/}
}
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