93-55 D sub 4 , E sub 8 , Leech and Certain Other Lattices are Symplectic

DIMACS TR: 93-55

D sub 4 , E sub 8 , Leech and Certain Other Lattices are Symplectic

Authors: J. H. Conway and N. J. A. Sloane

ABSTRACT
A recent paper of Buser and Sarnak has raised new interest in an old question of Schottky and others: which lattices arise from Jacobi varieties of compact Riemann surfaces? A necessary condition is that the lattice be symplectic. In this note it is shown that the root lattices D sub 4 , E sub 8 , K sub 12 , Lambda sub 16 , the Leech lattice Lambda sub 24 , and certain others are symplectic.

Paper available at: ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1993/93-55.ps

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