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Splitting of hermitian forms over group rings

โœ Scribed by I. Hambleton; C. Riehm

Book ID
105182775
Publisher
Springer-Verlag
Year
1978
Tongue
English
Weight
761 KB
Volume
45
Category
Article
ISSN
0020-9910

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โœ Sergei Krutelevich ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

We show that a 3 ร— 3 Hermitian matrix over the ring of integral split octonions has a unique canonical diagonal form under the action of the group E 6,6 (Z). This confirms the conjecture of J. Maldacena, G. Moore, and A. Strominger [hep-th/9903163] on a standard form of a charge vector.