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  3. <BASE HREF="http://xxx.lanl.gov/abs/hep-th/9504040">
  4. <TITLE>abstract hep-th/9504040</TITLE>
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  6. <BODY>
  7. <H1>High Energy Physics - Theory, abstract<BR>
  8. hep-th/9504040</H1>
  9. <PRE>
  10. From: <A HREF="mailto:DIXON@BINAH.CC.BRANDEIS.EDU">DIXON@BINAH.CC.BRANDEIS.EDU</A>
  11. Date: Fri, 07 Apr 1995 12:06:16 -0400 (EDT)
  12. </PRE>
  13. <H2> OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE</H2>
  14. <P>
  15. <B>Author(s):</B>  <A HREF="/find/hep-th/1/Geoffrey+Dixon/0/1/0/all/1/1">Geoffrey Dixon</A><BR>
  16. <B>Comments:</B>  7 pages, latex, no figures<BR>
  17. <B>Report-no:</B>  BRX TH-374<BR>
  18. <BLOCKQUOTE>
  19. The Leech lattice, $\Lambda_{24}$, is represented on the space of octonionic
  20. 3-vectors. It is built from two octonionic representations of $E_{8}$, and is
  21. reached via $\Lambda_{16}$. It is invariant under the octonion index cycling
  22. and doubling maps.
  23. </BLOCKQUOTE>
  24. </P>
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