Construction of local A-packets

In the present paper, we reformulate M oe glin's explicit construction of local A-packets of split odd special orthogonal groups and symplectic groups. By this reformulation together with results of the previous paper with Minguez, we can compute the A-packets explicitly. Also, we give a non-vanishing criterion of our parametrization, and an algorithm to compute certain derivatives. Finally, we prove a formula for the Aubert duals of irreducible representations of Arthur type.

Automated summary

In this paper, we reformulate Moe glin's explicit construction of local A-packets of split odd special orthogonal groups and symplectic groups, compute the A-packets explicitly, give a non-vanishing criterion of our parametrization, and an algorithm to compute certain derivatives, and prove a formula for the Aubert duals of irreducible representations of Arthur type.