From Wikipedia, the free encyclopedia
In
mathematics, a Picard modular group, studied by
Picard (
1881), is a
group of the form SU(J,L), where L is a 3-dimensional
lattice over the
ring of integers of an
imaginary quadratic field and J is a
hermitian form on L of signature (2, 1). Picard modular groups
act on the
unit sphere in C2 and the quotient is called a
Picard modular surface.
See also
References
-
Langlands, Robert P.; Ramakrishnan, Dinakar, eds. (1992), The zeta functions of Picard modular surfaces, Montreal, QC: Univ. Montréal,
ISBN
978-2-921120-08-1,
MR
1155233
-
Picard, Émile (1881),
"Sur une extension aux fonctions de deux variables du problème de Riemann relatif aux fonctions hypergéométriques", Annales Scientifiques de l'École Normale Supérieure, Série 2, 10: 305–322