Errata
Errata
Errata à l'exposé XXIV du Séminaire d'Analyse Fonctionnelle 1979-1980
Errata aux exposés 13, 19, 20
Errata aux exposés I et II
Errata - Exposé n° XXI
Erratum
Erratum
Erratum
Examples of quantum braided groups
Summary: The author gives the defining relations of a new type of bialgebras that generalize both the quantum groups and braided groups as well as the quantum supergroups. The relations of the algebras are determined by a pair of matrices that solve a system of Yang-Baxter-type equations. The matrix coproduct and counit are of standard matrix form, however, the multiplication in the tensor product of the algebra is defined by virtue of the braiding map given by the matrix . Besides simple solutions...
Existence of skyrmions
Summary: We give an introduction to the Skyrme model from a mathematical point of view. Hereby, we show that it is difficult to solve the field equation even by means of the classical ansatz, the so-called hedgehog ansatz. Our main result is an extended existence proof for solutions of the field equation in the hedgehog ansatz.
Existence of universal connections
Exotic topologies for linear spaces
Experimental DML over Digital Repositories in Japan
In this paper the authors show an overview of Virtual Digital Mathematics Library in Japan (DML-JP), contents of which consist of metadata harvested from institutional repositories in Japan and digital repositories in the world. DML-JP is, in a sense, a subject specific repository which collaborate with various digital repositories. Beyond portal website, DML-JP provides subject-specific metadata through OAI-ORE. By the schema it is enabled that digital repositories can load the rich metadata which...
Explicit geodesic graphs on some H-type groups
A homogeneous Riemannian manifold is called a “g.o. space” if every geodesic on arises as an orbit of a one-parameter subgroup of . Let be such a “g.o. space”, and an -invariant vector subspace of such that . A geodesic graph is a map such that is a geodesic for every . The author calculates explicitly such geodesic graphs for certain special 2-step nilpotent Lie groups. More precisely, he deals with “generalized Heisenberg groups” (also known as “H-type groups”) whose center has...
Exponential representation of solutions of ordinary differential equations
Extending Full Text Search Engine for Mathematical Content
The WWW became the main resource of mathematical knowledge. Currently available full text search engines can be used on these documents but they are deficient in almost all cases. By applying axioms, equal transformations, and by using different notation each formula can be expressed in numerous ways. Most of these documents do not contain semantic information; therefore, precise mathematical interpretation is impossible. On the other hand, semantic information can help to give more precise information....
Extending point-finite covers
Extension of measures and integrals by the help of a pseudometric
Extension theory for Sobolev spaces on open sets with Lipschitz boundaries