Abstracts of CSc. theses in mathematics

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Displaying similar documents to “Abstracts of CSc. theses in mathematics”

Eigenvalues of conformally invariant operators on spheres

Bureš, Jarolím, Souček, Vladimír

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Extension of a group by operators of orders two and four.

G. Miller (1911)

Prace Matematyczno-Fizyczne

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BGG sequences on spheres

Petr Somberg (2000)

Commentationes Mathematicae Universitatis Carolinae

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BGG sequences on flat homogeneous spaces are analyzed from the point of view of decomposition of appropriate representation spaces on irreducible parts with respect to a maximal compact subgroup, the so called $K$ -types. In particular, the kernels and images of all standard invariant differential operators (including the higher spin analogs of the basic twistor operator), i.e. operators appearing in BGG sequences, are described.