Integral Formulas for Higher Order Conformally Invariant Fermionic Operators

2017/11/10 by Chao Ding, Ding, Chao
Mathematics · #46F12 #58Jxx #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Primary 30Gxx #Representation Theory (math.RT) #Secondary 42Bxx

paper · pdf · doi:10.48550/arxiv.1711.05782

openalex publication_date 2017/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish higher order Borel-Pompeiu formulas for conformally invariant fermionic operators in higher spin theory, which is the theory of functions on m-dimensional Euclidean space taking values in arbitrary irreducible representations of the Spin group. As applications, we provide higher order Cauchy's integral formulas for those fermionic operators. This paper continues the work of building up basic integral formulas for conformally invariant differential operators in higher spin theory.

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