The explicit duality correspondence of (Sp(p, q), O*(2n))

摘要

We investigate the type I dual pairs over the quaternion algebra H, namely the family of dual pairs (Sp(p, q), O*(2n)). We give a complete and explicit description of duality correspondence for p + q less than or equal to n as well as some of the cases for p + q > n, in terms of the Langlands parameters. (C) 2002 Elsevier Science (USA). All rights reserved. [References: 23]