Dirac series of U(n,2)
Lin Wei, Chengyu Du, Hongfeng Zhang, Xuanchen Zhao
TL;DR
This paper determines the Dirac series of the unitary group U(n,2), providing detailed information about their properties, including multiplicity-free spin lowest K-types and consistent Dirac cohomology and index.
Contribution
It offers the first comprehensive analysis of the Dirac series for U(n,2), revealing new structural insights and confirming theoretical predictions about Dirac cohomology.
Findings
Spin lowest K-types are multiplicity free.
Dirac cohomology aligns with Dirac index.
Provides explicit characterization of Dirac series for U(n,2).
Abstract
We determine the Dirac series of and give related information about Dirac series: the spin lowest -types are multiplicity free, and the Dirac cohomology are consistent with the Dirac index.
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Taxonomy
TopicsAdvanced Algebra and Geometry · History and advancements in chemistry · Advanced Operator Algebra Research