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Showing 1 to 7 of 7 for “"Jordan algebras"”.
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Laguerre functions associated to Euclidean Jordan algebras
… T(Ω)=Ω+iV, where V is the associated Euclidean Jordan algebra of Ω. The representations involved are the highest weight representations of G on L<sup>2</sup>(Ω,dμ<sub>v</sub>). To obtain these representations, we start from the highest weight representations of G on H<sub>v</sub>(T(Ω)), the …
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Point-line spaces related to Jordan pairs
… and general as possible, the physicist Pascual Jordan invented a non-associative algebraic structure which is now called Jordan algebra. A generalisation of Jordan algebras are the so-called Jordan pairs. In 1975, Ottmar Loos classified all Jordan pairs with finite dimension. As a matter of …
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Techniques for handling nonsymmetric cones in interior point algorithms
… derived from spectral functions on Euclidean Jordan algebras while in Chapter 5, these are barriers related to sum-of-squares polynomial cones. We show that using these cones with our new barriers is computationally favorable in comparison to alternative formulations. We show how to evaluate …
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Polynomial Identities on Algebras with Actions
… of this result which applies to associative algebras whose induced Lie or Jordan algebras are G-graded. Group-gradings and actions by a group of automorphisms are examples of Hopf algebras acting on H-algebras. If H is finite-dimensional, semisimple, commutative, and splits over its base …
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FINITELY ADDITIVE MEASURES ON TOPOLOGICAL SPACES AND BOOLEAN ALGEBRAS
… other. The relation between charges on Boolean algebras and the induced measures on their Stone spaces is mentioned in this chapter. We also show that for any charge algebra, there exists a compact zero-dimensional space such that its charge algebra is isomorphic to the given charge algebra. In …