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- W2016348078 abstract "In a previous paper [EG] we described an integral structure (J, E) on the exceptional Jordan algebra of Hermitian 3×3 matrices over the Cayley octonions. Here we use modular forms and Niemeier's classification of even unimodular lattices of rank 24 to further investigate J and the integral, even lattice J0=(ZE)⊥ in J. Specifically, we study ring embeddings of totally real cubic rings A into J which send the identity of A to E, and we give a new proof of R. Borcherds's result that J0 is characterized as a Euclidean lattice by its rank, type, discriminant, and minimal norm." @default.
- W2016348078 created "2016-06-24" @default.
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- W2016348078 date "2001-08-15" @default.
- W2016348078 modified "2023-09-23" @default.
- W2016348078 title "Cubic rings and the exceptional Jordan algebra" @default.
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- W2016348078 doi "https://doi.org/10.1215/s0012-7094-01-10924-1" @default.
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