Mariane Riss
Mariane Riss
riss@i7.informatik.rwth-aachen.de
The Missing Link for $\omega$-rational Sets, Automata and Semigroups
written with
J. Duparc
to appear in
International Journal of Algebra and Computation
pdf temporary version
Abstract: In 1997, following the works of Klaus W. Wagner on omega-regular sets, Olivier Carton and Dominique
Perrin introduced the notions of Chains and Superchains for omega-semigroups. There is a clear correspondance
between the algebraic representation of each of these operations and the automata-theoretical one. Unfortunately,
chains and superchains do not suffice to describe the whole Wagner hierarchy. We introduce a third notion which
completes the task undertaken in Carton O., Perrin D.: "Chains and superchains for omega-rational sets, automata and semigroups" (Int. J. Alg. Comput., vol. 7, no. 7, pp. 673-695, 1997).
Publications in Finite Group theory
Shintani Descent of Almost Characters - Application to the Unipotent Characters
of the Principal Series of Sp(4,q)
to appear in Communications in Algebra
pdf temporary version
Abstract: In this article, we answer the question if it possible to extend a character of a finite group of Lie type to certain
split cyclic extension, by defining it on cosets so that these become coherent under Shintani descents. We first deal with almost
characters of any finite group of Lie type and then we concentrate on the unipotent characters of the principal series of
Sp(4,q).
Relevé d'isotypies de Sp(4,q)
to appear in Communications in Algebra
pdf temporary version
Abstract:
In this article we prove
Broué's conjecture on isotypies for the case of principal blocs of Sp(4,q)<\sigma> :
a split cyclic extension
of the symplectic group of dimension 4 over a finite field $\F_q$ for q odd. The core of the proof is to
lift to the group Sp(4,q)<\sigma> an isotypy of the group Sp(4,q).
For this purpose, we build a convenient version of a theorem of
lifting isotypies.
Relevé d'isotypies et Descentes de Shintani - Le groupe symplectique
de dimension 4 sur Fq, q impair.
Ph.D. at the University Paris 7
pdf version
Abstract:
pdf version
URL: http://www-mgi.informatik.rwth-aachen.de/~riss/
mars 2003.