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On the structure constants of certain Hecke algebras

Helversen-Pasotto, Anna (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]In the first part some general results on Hecke algebras are recalled; the structure constants corresponding to the standard basis are defined; in the following the example of the commuting algebra of the Gelfand- Graev representation of the general linear group G L ( 2 , F ) is examined; here F is a finite field of q elements; the structure constants are explicitly determined first for the standard basis and then for a new basis obtained via a Mellin-transformation....

On the theory of the 4-quasiplanar mappings of almost quaternionic spaces

Mikeš, Josef, Němčíková, Jana, Pokorná, Olga (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

Authors’ abstract: “4-quasiplanar mappings of almost quaternionic spaces with affine connection without torsion are investigated. Geometrically motivated definitions of these mappings are presented. Based an these definitions, fundamental forms of these mappings are found, which are equivalent to the forms of 4-quasiplanar mappings introduced a priori by I. Kurbatova [Sov. Math. 30, 100-104 (1986; Zbl 0602.53029)]”.

On types of non-integrable geometrie

Friedrich, Thomas (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Levi-Civita connection. In the presented paper, the following non-integrable G-structures are studied: SO(3)-structures in dimension 5; almost complex structures in dimension 6; G 2 -structures in dimension 7; Spin(7)-structures in dimension 8; Spin(9)-structures in dimension 16 and F 4 -structures in dimension 26. G-structures admitting an affine connection with totally skew-symmetric torsion are characterized....

On Urysohn's lemma

Dowker, C. H. (1967)

General Topology and its Relations to Modern Analysis and Algebra

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