1 - 10 of 21 articles
The structure group of an alternative algebra and various canonical subgroups are defined and investigated. Using the principle of triality, natural sets of generators for these groups in the case of octonion algebras are exhibited.
In a web one can define in a natural way reflections in generators and a kind of rotations in points. The structure of the webs and the corresponding loops in which some of these maps are automorphisms will be studied in a synthetic way.
Automorphisms of non-trivial spine spaces are either, type-preserving, or type-exchanging, that is, they map stars onto stars or exchange them with tops. In the first case they are given by semi-linear bijections, in the latter, by sesqui-linear forms.
We give a remark on the proof of the theorem of existence and uniqueness of the slope decomposition and the Turritin-Levelt decomposition of a connection in several variables. Using a lemma from , we show that the slope decomposition and the Turritin-Levelt decomposition of the relative...
The archimedean Euler factor in the completed spinL-function of a Siegel modular form is computed. Several formulas are obtained, relating this factor to the recursively denned factors of Andrianov and to symmetric powerL-factors for GL(2). The archimedean ε-factor is also computed. Finally, the...
Every rational number greater than 1 corresponds to a 2-dimensional cyclic quotient singularity and therefore corresponds to a rational number-K
2,an invariant of this singularity.
We prove the positivity of Schur-Weyl invariants of projective varieties under certain conditions.
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