Twisted Composition Algebras and Arthur Packets for Triality Spin(8)
Wee Teck Gan, Gordan Savin
TL;DR
This paper constructs Arthur packets for the D4 group using exceptional theta correspondences and proves the global Arthur multiplicity formula, advancing understanding of automorphic representations related to triality spin(8).
Contribution
It introduces a novel method to build Arthur packets for D4 via exceptional theta correspondences, providing new insights into automorphic forms and representation theory.
Findings
Constructed Arthur packets for D4 using theta correspondences
Established the global Arthur multiplicity formula for these packets
Enhanced understanding of automorphic representations for triality spin(8)
Abstract
Using exceptional theta correspondences we construct a family of Arthur packets for the exceptional group of type D4, and establish the global Arthur multiplicity formula.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra