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On a canonical form of a 3×3 Hermitian matrix over the ring of integral split octonions

✍ Scribed by Sergei Krutelevich


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
152 KB
Volume
253
Category
Article
ISSN
0021-8693

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✦ Synopsis


We show that a 3 × 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.


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