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The exceptional Jordan algebra (2020)

108 pointsby gone352 months ago

3 comments

mjreacher2 months ago
I wonder if there is any connection of this being on the front page today with this paper [0] being uploaded on arXiv today or if it&#x27;s just pure coincidence.<p>[0]: <a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2503.10744" rel="nofollow">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2503.10744</a>
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aap_2 months ago
What i think is super cool about h3(O) is that you have scalars, a vector and two spinors in one object with the jordan-product giving you all the products between them that have to do with triality. See section 3.4 of John Baez&#x27; paper on the octonions.
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Tewboo2 months ago
Intriguing! I remember when Jordan algebras were the talk of the theoretical math town. Time to revisit the scene!