Conformal Symmetry Breaking Differential Operators on Differential Forms.

Cover
Title page
Chapter 1. Introduction
Chapter 2. Preliminaries
2.1. The -method
2.2. Notation and induced representations
2.3. A branching problem
Chapter 3. Singular vectors
3.1. The \gol′-equivariance
3.2. Families of singular vectors of the first type
3.3. Families of singular vectors of the second type
3.4. Singular vectors of the third type
3.5. Singular vectors of the fourth type
3.6. Middle degree cases
Chapter 4. Conformal symmetry breaking differential operators on differential forms
4.1. Families of the first type
4.2. Families of the second type
4.3. Hodge conjugation
4.4. Operators of the third type
4.5. Operators of the fourth type
4.6. Operators on middle degree forms
4.7. Proof of Theorem 3
4.8. Examples
Chapter 5. Geometric formulas for conformal symmetry breaking operators
5.1. Preparations
5.2. Even-order families of the first and second type
5.3. Odd-order families of the first and second type
5.4. Operators of the third and fourth type
Chapter 6. Factorization identities for conformal symmetry breaking operators
6.1. Branson-Gover, gauge companion and -curvature operators
6.2. Main factorizations
6.3. Supplementary factorizations
6.4. Applications
Appendix: Gegenbauer and Jacobi polynomials
Bibliography
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