Conformal symmetries of the super Dirac operator

DOI10.4171/RMI/838zbMath1395.17018arXiv1303.2195OpenAlexW2963102535MaRDI QIDQ748328

Hendrik De Bie, Kevin Coulembier

Publication date: 20 October 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2195

zbMATH Keywords

Dirac operatorHowe dual pairsconformally invariant differential operatorsorthosymplectic superalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Functions of hypercomplex variables and generalized variables (30G35) Simple, semisimple, reductive (super)algebras (17B20) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (13)

Expansions for the Dirac operator and related operators in super spinor space ⋮ Fischer decomposition for polynomials on superspace ⋮ The spin group in superspace ⋮ On the Radon transform and the Dirac delta distribution in superspace ⋮ The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator ⋮ Darboux transformations for super-Schrödinger equation, super-Dirac equation and their exact solutions ⋮ Generalised symmetries and bases for Dunkl monogenics ⋮ The higher spin Laplace operator in several vector variables ⋮ The harmonic transvector algebra in two vector variables ⋮ Hypermonogenic plane wave solutions of the Dirac equation in superspace ⋮ On the algebra of symmetries of Laplace and Dirac operators ⋮ Unnamed Item ⋮ Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace

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