Realizations of the Monster Lie algebra
نویسندگان
چکیده
منابع مشابه
A Monster Lie Algebra ?
We define a remarkable Lie algebra of infinite dimension, and conjecture that it may be related to the Fischer-Griess Monster group. The idea was mooted in [C-N] that there might be an infinite-dimensional Lie algebra (or superalgebra) L that in some sense “explains” the Fischer-Griess ‘Monster” group M . In this chapter we produce some candidates for L based on properties of the Leech lattice ...
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for each element g of the monster, so that our problem is to work out what these Thompson series are. For example, if 1 is the identity element of the monster then Tr(1|Vn) = dim(Vn) = c(n), so that the Thompson series T1(q) = j(τ) − 744 is the elliptic modular function. McKay, Thompson, Conway and Norton conjectured [Con] that the Thompson series Tg(q) are always Hauptmoduls for certain modula...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 1995
ISSN: 1022-1824,1420-9020
DOI: 10.1007/bf01614075