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## Sprbljig A new approach to the boundary value problem for the classic Dirac equation is proposed. This approach is based on a recent version of the metaharmonic quaternionic analysis developed in [14-161. In particular, the following problem is studied: when and how a given function on a surfac
The aim of the present paper is to clarify the relationship between immersions of surfaces and solutions of the Dirac equation. The main idea leading to the description of a surface M2 by a spinor field is the observation that the restriction to M2 of any parallel spinor $ on Iw3 is a non-trivial sp
We give a parametrization of the possible Serre invariants Γ°N; k; nΓ of modular mod c Galois representations of the exceptional types A 4 ; S 4 ; A 5 ; in terms of local data attached to the fields cut out by the associated projective representations. We show how this result combined with certain gl
In this paper we analyse primitive permutation representations of finite alternating and symmetric groups which have a 2-transitive subconstituent. We show that either the representation belongs to an explicit list of known examples, or the point stabiliser is a known almost-simple 2-transitive grou