Griess algebra
 | This article includes a improve this article by introducing more precise citations. (May 2024) ) |
In
R. L. Griess, who constructed it in 1980 and subsequently used it in 1982 to construct M. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement
of this 1-space.
(The Monster preserves the standard inner product
on the 196884-space.)
Griess's construction was later simplified by
John H. Conway
.
The Griess algebra is the same as the degree 2 piece of the monster vertex algebra, and the Griess product is one of the vertex algebra products.
References
- MR 0782233
- R. L. Griess Jr, The Friendly Giant, Inventiones Mathematicae 69 (1982), 1-102
 | This algebra-related article is a stub. You can help Wikipedia by expanding it. |