Hurwitz analysis: basic concepts and connection with Clifford analysis
Hurwitz pairs and Clifford valued inner products
After an overview of Hurwitz pairs we are showing how to actually construct them and discussing whether, for a given representation, all Hurwitz pairs of the same type are equivalent. Finally modules over a Clifford algebra are considered with compatible inner products; the results being then aplied to Hurwitz pairs.
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics.
Hypercomplex algebras, hypercomplex analysis and conformal invariance
Hypercontractivité pour les fermions, d'après Carlen-Lieb
Identities on Clifford algebras.
Introduction élémentaire à l'analyse spinorielle
Invariants of orthogonal -modules from the character table.
K-théorie algébrique et invariants des formes quadratiques
Modular quadratic and Hermitian forms over Dedekind rings.
Monogenic functions in conformal geometry.
Nonlinear connections and spinor geometry.
On 4-dimensional locally conformally flat almost Kähler manifolds
Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kähler manifolds which are locally conformally flat with a metric of a special form.
On Clifford-type structures [Book]
On Rank 4 Quadratic Spaces with Given Arf and Witt Invariants.
On realizability of p-groups as Galois groups
2000 Mathematics Subject Classification: 12F12, 15A66.In this article we survey and examine the realizability of p-groups as Galois groups over arbitrary fields. In particular we consider various cohomological criteria that lead to necessary and sufficient conditions for the realizability of such a group as a Galois group, the embedding problem (i.e., realizability over a given subextension), descriptions of such extensions, automatic realizations among p-groups, and related topics.
On spinor varieties and their secants.
On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.
On the composition of nondegenerate quadratic forms with an arbitrary index
On the composition of nondegenerate quadratic forms with an arbitrary index