Revista: | Boletín de la Sociedad Matemática Mexicana |
Base de datos: | PERIÓDICA |
Número de sistema: | 000345586 |
ISSN: | 0037-8615 |
Autors: | Duman, Ali Nabi1 |
Institucions: | 1University of British Columbia, Department of Mathematics, Vancouver, Columbia Británica. Canadá |
Any: | 2010 |
Període: | Abr |
Volum: | 16 |
Número: | 1 |
Paginació: | 19-28 |
País: | México |
Idioma: | Inglés |
Tipo de documento: | Artículo |
Enfoque: | Experimental, analítico |
Resumen en inglés | The aim of this paper is to exhibit an explicit non-trivial example of the twisted fusion algebra for a particular finite group. The product is defined for the group G = (Z/2)3 via the pairing θg (φ)R(G)⊗θh(φ) R(G) →θgh(φ) R(G) where θ: H4(G, Z) → H3(G, Z) is the inverse transgression map and φ is a carefully chosen cocycle class. We find the rank of the fusion algebra X(G) = g∈G θg (φ)R(G) as well as the relation between its basis elements. We also give some applications to topological gauge theories |
Disciplines | Matemáticas |
Paraules clau: | Matemáticas puras, Algebra de fusión, Teoría de K torcida |
Keyword: | Mathematics, Pure mathematics, Fusion algebra, Twisted K-theory |
Solicitud del documento | |