V
Vladimír Souček
Researcher at Charles University in Prague
Publications - 138
Citations - 3431
Vladimír Souček is an academic researcher from Charles University in Prague. The author has contributed to research in topics: Clifford analysis & Invariant (mathematics). The author has an hindex of 26, co-authored 137 publications receiving 3285 citations. Previous affiliations of Vladimír Souček include Czechoslovak Academy of Sciences & University of York.
Papers
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Book
Clifford Algebra and Spinor-Valued Functions: A Function Theory for the Dirac Operator
TL;DR: Clifford algebras over lower dimensional Euclidean spaces and spinor spaces have been studied in this paper, where the Penrose transform has been applied to the Clifford analysis.
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Bernstein-Gelfand-Gelfand sequences
TL;DR: The Bernstein-Gelfand Gelfand sequences as mentioned in this paper extend the complexes of homogeneous vector bundles to curved Cartan geometries. But they do not extend the Bernstein sequences to Cartan geometry.
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Fundaments of Hermitean Clifford Analysis Part I: Complex Structure
Fred Brackx,Jarolím Bureš,Hennie De Schepper,David Eelbode,Franciscus Sommen,Vladimír Souček +5 more
TL;DR: In this paper, the Hermitean Dirac operators are shown to arise as generalized gradients when projecting the gradient on the invariant subspaces mentioned, which actually implies their invariance under the action of Spin J (2n;\({\mathbb{R}}\).
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Fundaments of Hermitean Clifford analysis part II: splitting of h -monogenic equations
TL;DR: In this paper, the Hermitean Dirac operators are shown to originate as generalized gradients when projecting the gradient on invariant subspaces, which are invariant under the action of a Clifford realization of the unitary group.