An octonion algebra originating in combinatorics

Details An octonion algebra originating in combinatorics An octonion algebra originating in combinatorics

2010-02-14

arxiv.org/abs/1002.2752v2

Proc. Amer. Math. Soc., Vol. 138, No. 12, December 2010, Pages 4187-4195

Mathematics

Rings and Algebras

11 pages, A simpler proof of the main theorem, due to Alberto Elduque, is inserted. The paper will appear in the Proc. Amer. M

Scientific paper

C.H. Yang discovered a polynomial version of the classical Lagrange identity expressing the product of two sums of four squares as another sum of four squares. He used it to give short proofs of some important theorems on composition of delta-codes (now known as T-sequences). We investigate the possible new versions of his polynomial Lagrange identity. Our main result shows that all such identities are equivalent to each other.

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