Results 31 to 40 of about 23,968 (185)
Algebras of Jordan brackets and Generalized Poisson algebras
, 2015 We construct a basis of free unital generalized Poisson superalgebras and a basis of free unital superalgebras of Jordan brackets. Also, we prove the analogue of Farkas' Theorem for PI unital generalized Poisson algebras and PI unital algebras of Jordan ...
Kaygorodov, Ivan
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Models of the universe based on Jordan algebras
Nuclear Physics B, 2020 We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra.
J. Ambjørn, Y. Watabiki
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Generalized Conformal and Superconformal Group Actions and Jordan Algebras
, 1993 We study the conformal groups of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave 2-angles invariant to spaces where "p-angles" can be defined.
Gunaydin, Murat
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Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras
Wasit Journal of Computer and Mathematics Science, 2022 Let be an associative algebra over a field F of any characteristic with involution * and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
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SURJECTIVE QUADRATIC JORDAN ALGEBRAS
Eurasian Mathematical Journal, 2020 Summary: We introduce the concepts of surjectivity and linear minimality for quadratic Jordan algebras, then we present a partial classification of such algebras of characteristic 2. As a corollary, we obtain that in substance non-trivial minimal quadratic Jordan algebras are fields.
Baissalov, Yerzhan, Aljouiee, Abdullah
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, 2005 We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree three describe extensions of the Minkowskian spacetimes by ...
A. Joseph +29 more
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Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
پژوهشهای ریاضی, 2020 Introduction Hom-algebraic structures appeared first as a generalization of Lie algebras in [1,3], where the authors studied q-deformations of Witt and Virasoro algebras. A general study and construction of Hom-Lie algebras
Valiollah Khalili
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Noncommutative matrix Jordan algebras [PDF]
Transactions of the American Mathematical Society, 1992 We consider noncommutative degree two Jordan algebras J \mathcal {J} of two by two matrices whose off diagonal entries are from an anticommutative algebra S \mathcal {S} . We give generators and relations for the automorphism group of J \mathcal {J} and determine ...
Brown, Robert B., Hopkins, Nora C.
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Reduction of Lie-Jordan Banach algebras and quantum states
, 2012 A theory of reduction of Lie-Jordan Banach algebras with respect to either a Jordan ideal or a Lie-Jordan subalgebra is presented. This theory is compared with the standard reduction of C*-algebras of observables of a quantum system in the presence of ...
A Ibort +10 more
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