Polynomial Invariants for General Higher Spin Dirac Operators: A Toy Model

被引：0

作者：

Eelbode, David ^{[1
]}

Smid, Dalibor ^{[2
]}

机构：

[1] Univ Antwerp, Dept Math & Comp Sci, Campus Middelheim,G Bldg,Middelheimlaan 1, B-2020 Antwerp, Belgium

[2] Charles Univ Prague, Math Inst, CZ-18675 Sokolovska, Praha, Czech Republic

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

Clifford algebras; Dirac operators; representation theory;

D O I：

10.1063/1.3498060

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We extend our previous results on spaces of polynomial invariants for Rarita-Schwinger operators acting on representations S-k with highest weight (k + 1/2, 1/2, ... , 1/2) to a more general setting. This setting may be seen as a toy model for the study of Higher Spin Dirac operators on general representations with half-integral highest weights, and already hints at an essential difference of the structure of the space of invariant differential operators on S-k and on a general representation.

引用

页码：1504 / +

页数：3

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