Results 61 to 70 of about 928,268 (284)
Linear Algebra and its Applications, 2007 AbstractWe study commutative algebras which are generalizations of Jordan algebras. The associator is defined as usual by (x,y,z) = (xy)z−x(yz). The Jordan identity is (x2,y,x) = 0. In the three generalizations given below, t, β, and γare scalars. ((xx)y)x+t((xx)x)y=0, ((xx)x)(yx)−(((xx)x)y)x=0, β((xx)y)x+γ((xx)x)y−(β+γ)((yx)x)x=0.
Hentzel, Irvin Roy, Labra, Alicia
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Octonions, E6, and Particle Physics
, 2010 In 1934, Jordan et al. gave a necessary algebraic condition, the Jordan identity, for a sensible theory of quantum mechanics. All but one of the algebras that satisfy this condition can be described by Hermitian matrices over the complexes or quaternions.
Corinne A Manogue +8 more
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Exceptional Lie Algebras, SU(3) and Jordan Pairs
, 2011 A simple unifying view of the exceptional Lie algebras is presented. The underlying Jordan pair content and role are exhibited. Each algebra contains three Jordan pairs sharing the same Lie algebra of automorphisms and the same external su(3) symmetry ...
Truini, Piero
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Lie triple derivations of dihedron algebra
Frontiers in Physics, 2023 Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
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Algebras of quotients of Jordan algebras
Journal of Algebra, 2010 AbstractWe define a Jordan analogue of Lambek and Utumi's associative algebra of quotients and we construct the maximal algebra of quotients for nondegenerate Jordan algebras. We apply those results to other classes of algebras of quotients appearing in the literature.
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On Special Jordan Algebras [PDF]
Transactions of the American Mathematical Society, 1947 for a and b in e is called quasimultiplication, and any linear subspace X over 8 of e which is closed with respect to this operation forms a corresponding algebra W. We call an algebra isomorphic to such an algebra a special Jordan algebra and see that special Jordan algebras are commutative but not, in general, associative.
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
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State Spaces of Jordan Algebras [PDF]
Acta Mathematica, 1978 In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.
Alfsen, Erik M., Shultz, Frederic W.
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Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
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On strongly Jordan zero-product preserving maps [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of Jordan zero-product preserving maps.
Ali Reza Khoddami
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