Abstract
AbstractThe representation theory of Clifford algebras has been used to obtain information on the possible orders of amicable pairs of orthogonal designs on given numbers of variables. If, however, the same approach is tried on more complex systems of orthogonal designs, such as product designs and amicable triples, algebras which properly generalize the Clifford algebras are encountered. In this paper a theory of such generalizations is developed and applied to the theory of systems of orthogonal designs, and in particular to the theory of product designs.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference9 articles.
1. Using product designs to construct orthogonal designs
2. On the structure and representations of Clifford algebras.
3. [9] Wolfe W. W. , Orthogonal designs-amicable orthogonal designs (Ph. D. Thesis, Queen's University Kingston, Ontario, Canada, 1975).
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献