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On conformal powers of the Dirac operator on Einstein manifolds
We determine the structure of conformal powers of the Dirac operator on Einstein Spin-manifolds in terms of the product formula for shifted Dirac operators. The result is based on the techniques of higher variation...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Resolution of the k-Dirac operator
and that the first operator in the descended complex is the k-Dirac operator studied in Clifford and thus it forms a resolution of the k-Dirac operator.This is the second part in a series of two papers. T...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Symplectic Dirac operator and its higher spin analogues
Symplectic Dirac operator, its highers spin analogues, Howe-type duality for this case and a spectral embedding theorem for the symplectic Dirac and the symplectic Rarita-Schwinger operator are presented....
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Dirac operator in two variables from the viewpoint of parabolic geometry
Dirac operator is generalized to parabolic geometry.
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
k-Dirac operator and the Cartan-Kahler theorem
We apply the Cartan-Kähler theorem for the k-Dirac operator studied in Clifford analysis and to the parabolic version of this operator. We show that for k=2 the tableaux of the first prolongations of these two operators...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The Generalised Dolbeault Complex for Four Dirac Operators in the Stable Rank
Construction of BGG sequences for a special case of four Dirac operators.
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Polynomial Invariants for General Higher Spin Dirac Operators: A Toy Model
Previous results on invariants for higher spin Dirac operators are extended to a new case.
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
The higher spin Dirac operator
The higher spin Dirac operator...
BA - Obecná matematika
- 1999 •
- D
Rok uplatnění
D - Stať ve sborníku
A resolution for the Dirac operator in four variables in dimension 6
A construction of an algebraic BGG resolution for the case of Dirac operator in four variables in dimension six. The main tool used is the Penrose transform....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Conformally invariant powers of the Dirac operator in Clifford analysis
In the paper, there are explicit formulae for conformally invariant powers of the Dirac oprator on the sphere.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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