WebMay 24, 2010 · The split algebras consist of three species: split-complex numbers, split quaternions, and split octonions. They correspond to three noncompact Hopf maps that … WebOct 26, 2024 · According to the Serre–Swan theorem, spaces in a noncommutative geometry are replaced with algebras of functions on these spaces. Therefore, instead of studying the principal quantum fibration \(AdS_{q\mu}^3 \xrightarrow {U(1)} EAdS_{q\mu}^2\), we study the noncommutative finitely generated projective module of …
The split algebras and noncompact Hopf maps INIS
Websplit-algebras. The split-algebras consist of three species: split-complex numbers, split-quaternions, and split-octonions. They correspond to three non-compact Hopf maps that represent topological maps between hyper-boloids in different dimensions with hyperboloid-bundle. We realize such non-compact Hopf maps in two ways: one is to utilize ... WebFuzzy hyperboloids naturally emerge in the geometries of D-branes, twistor theory, and higher spin theories. In this work, we perform a systematic study of higher dimensional fuzzy hyperboloids (ultra-hyperboloids) based on non-compact Hopf maps. Two types of non-compact Hopf maps; split-type and hybrid-type, are introduced from the cousins of … david stompe insurance agency
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WebRepresentation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. [1] [2] In essence, a representation makes an abstract algebraic object more concrete by describing its elements by ... WebMade available by U.S. Department of Energy Office of Scientific and Technical Information ... WebWe develop a noncompact version of the Hopf maps based on the split algebras. The split algebras consist of three species: split-complex numbers, split quaternions, and split … gastric sleeve meal plan