On the Classification of Hermitian Forms. IV. Adele Rings.
On the Classification of Hermitian Forms. V. Global Rings.
On the construction and the realization of wild monoids
We develop elementary methods of computing the monoid for a directly-finite regular ring . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
On the decomposition map of Grothendieck groups.
On the derived category of a finite-dimensional algebra.
On the Galois structure of algebraic integers and S-units.
On the -theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras : the singular case
Let be a semisimple complex algebraic group and its flag variety. Let and let be its enveloping algebra. Let be a Cartan subalgebra of . For , let be the corresponding minimal primitive ideal, let , and let be the Hattori-Stallings trace. Results of Hodges suggest to study this map as a step towards a classification, up to isomorphism or Morita equivalence, of the -algebras . When is regular, Hodges has shown that . In this case is generated by the classes corresponding to...
On the K-theory of tubular algebras
Let Λ be a tubular algebra over an arbitrary base field. We study the Grothendieck group , endowed with the Euler form, and its automorphism group on a purely K-theoretical level as in [7]. Our results serve as tools for classifying the separating tubular families of tubular algebras as in the example [5] and for determining the automorphism group of the derived category of Λ.
On the numbers of discrete indecomposable modules over tame algebras
Opérations d'Adams sur certains groupes de Grothendieck
Produit tensoriel de matrices, homologie cyclique, homologie des algèbres de Lie
On munit, naturellement, d’un surproduit l’algèbre extérieure de l’homologie cyclique d’une -algèbre commutative ( étant un corps de caractéristique zéro) à l’aide du produit de Loday-Quillen. On munit d’un surproduit l’homologie de l’algèbre de Lie du groupe linéaire général de à l’aide du produit tensoriel de matrices. On montre que l’isomorphisme d’algèbres de Hopf de Loday-Quillen est compatible avec les surproduits définis ci-dessus. On obtient ainsi une interprétation du produit de Loday-Quillen,...
Rings with many idempotents.
SGn of Orders and Group-Rings.
SK... for finite group rings: II.
SK1 of finite abelian groups. I.
SK1 of finite group rings: V.
SK1 von Algebren über vollständig diskret bewerteten Körpern und Galoiskohomologie abelscher Körpererweiterungen.
Sur l'induction des modules indécomposables et la projectivité relative.
Swan modules, class fieids, and class groups of cyclic p-groups.
The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits