Some Generalized Kac-Moody Algebras with Known Root Multiplicities 1

Vetenskap & teknik

Some Generalized Kac-Moody Algebras with Known Root Multiplicities

Pocket

1049:-

Funktionen begränsas av dina webbläsarinställningar (t.ex. privat läge).

Tillfälligt slut online – klicka på "Bevaka" för att få ett mejl så fort varan går att köpa igen.

2002

Starting from Borcherds' fake monster Lie algebra we construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.

Format: Pocket/Paperback
ISBN: 9780821828885
Språk: Engelska
Utgivningsdatum: 2002-05-01
Förlag: American Mathematical Society