Conjugacy classes of SU(h, O-s) in SL(2, O-s)

Authors
Citation
Dg. James, Conjugacy classes of SU(h, O-s) in SL(2, O-s), T AM MATH S, 351(2), 1999, pp. 825-835
Citations number
10
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
2
Year of publication
1999
Pages
825 - 835
Database
ISI
SICI code
0002-9947(199902)351:2<825:CCOSOI>2.0.ZU;2-D
Abstract
Let K be a quadratic extension of a global field F, of characteristic not t wo, and O-S the integral closure in K of a Dedekind ring of S-integers D-S in F. Then PSL(2, O-S) is isomorphic to the spinorial kernel O'(L) for an i ndefinite quadratic D-S-lattice L of rank 4. The isomorphism is used to stu dy the conjugacy classes of unitary groups PSU(h, O-S) of primitive odd bin ary hermitian matrices h under the action of PSL(2, O-S).