Cohomology of groups, Abelian Sylow subgroups and splendid equivalences.
Cohomology of some graded differential algebras
We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.
Cohomology of the triangular algebra and applications. (Cohomologie de l'algèbre triangulaire et applications.)
Cohomology ring of n-Lie algebras.
Natural graded Lie brackets on the space of cochains of n-Leibniz and n-Lie algebras are introduced. It turns out that these brackets agree under the natural embedding introduced by Gautheron. Moreover, n-Leibniz and n-Lie algebras turn to be canonical structures for these brackets in a similar way in which associative algebras (respectively, Lie algebras) are canonical structures for the Gerstenhaber bracket (respectively, Nijenhuis-Richardson bracket).
Coleman automorphisms of finite groups with a self-centralizing normal subgroup
Let be a finite group with a normal subgroup such that . It is shown that under some conditions, Coleman automorphisms of are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.
Colimits of representable algebra-valued functors.
Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d'Euler-Zagier.)
Combinatorial interpretations for rank-two cluster algebras of affine type.
Combinatorial Structures in Loops.
Combinatorial topology and the global dimension of algebras arising in combinatorics
In a highly influential paper, Bidigare, Hanlon and Rockmore showed that a number of popular Markov chains are random walks on the faces of a hyperplane arrangement. Their analysis of these Markov chains took advantage of the monoid structure on the set of faces. This theory was later extended by Brown to a larger class of monoids called left regular bands. In both cases, the representation theory of these monoids played a prominent role. In particular, it was used to compute the spectrum of the...
Combinatorics of the free Baxter algebra.
Comments on gentleness of endomorphism algebras.
Commutative and noncommutative invariant theory
Commutative diagrams for the inflation-restriction sequence
Commutative differential algebras with an algebraic element
Commutative group algebras of highly torsion-complete abelian -groups
A new class of abelian -groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ. Carolinae (2002).
Commutative modular group algebras of -mixed and -splitting abelian -groups
Let be a -mixed abelian group and is a commutative perfect integral domain of . Then, the first main result is that the group of all normalized invertible elements is a -group if and only if is a -group. In particular, the second central result is that if is a -group, the -algebras isomorphism between the group algebras and for an arbitrary but fixed group implies is a -mixed abelian -group and even more that the high subgroups of and are isomorphic, namely, . Besides,...
Commutative parasemifields finitely generated as semirings
Commutative radical rings. I.
Commutative radical rings. II.