Abstract
It is known that the Williamson construction for Hadamard matrices can be generalized to constructions using sums of tensor products. This pa-per describes a specific construction using real monomial representations of Of Clifford algebras, and its connection with graphs of amicability and anti-amicability. It is proven that this construction works for all such representations where the order of the matrices is a power of 2. Some related results are given for small dimensions.
| Original language | English |
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| Pages (from-to) | 214-248 |
| Number of pages | 35 |
| Journal | Australasian Journal of Combinatorics |
| Volume | 58 |
| Issue number | 2 |
| Publication status | Published - 2014 |