O. Barwald et Rw. Gebert, EXPLICIT DETERMINATION OF A 727-DIMENSIONAL ROOT SPACE OF THE HYPERBOLIC LIE-ALGEBRA E(10), Journal of physics. A, mathematical and general, 30(7), 1997, pp. 2433-2446
The 727-dimensional root space associated with the level-2 root Lambda
(1) of the hyperbolic Kac-Moody algebra E(10) is determined using a re
cently developed string theoretic approach to hyperbolic algebras. The
explicit form of the basis reveals a complicated structure with trans
versal as well as longitudinal string states present.