Triality: Vector Space, Mathematics, Duality (Mathematics), Dual Vector Space, Double Covering Group - Tapa blanda

Triality

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicstriality is a relationship between three vector spaces, analogous to theduality relation between dual vector spaces. Most commonly, it describesthose special features of the group Spin(8), the double cover of8-dimensional rotation group SO(8), arising because the group has anouter automorphism of order three. There is a geometrical version oftriality, analogous to duality in projective geometry. Of all simple Liegroups, Spin(8) has the most symmetrical Dynkin diagram. The diagram hasfour nodes with one node located at the center, and the other threeattached symmetrically. The symmetry group of the diagram is thesymmetric group S3 which acts by permuting the three legs. This givesrise to an S3 group of outer automorphisms of Spin(8). This automorphismgroup permutes the three 8-dimensional irreducible representations ofSpin(8); these being the vector representation and two chiral spinrepresentations.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 128 pp. Englisch. Nº de ref. del artículo: 9786131140044

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