Construction of local A-packets
Hiraku Atobe

TL;DR
This paper reformulates the explicit construction of local A-packets for split odd special orthogonal and symplectic groups, providing explicit computation methods, non-vanishing criteria, and formulas for Aubert duals of Arthur type representations.
Contribution
It introduces a new reformulation of Moeglin's construction, enabling explicit computation of A-packets and related representation-theoretic formulas.
Findings
Explicit computation of local A-packets
Non-vanishing criterion for parametrization
Formula for Aubert duals of Arthur type representations
Abstract
In this paper, we reformulate Moeglin'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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Code & Models
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Algebraic structures and combinatorial models
