Results 41 to 50 of about 928,268 (284)
Structurable algebras and groups of type E_6 and E_7 [PDF]
, 1998 It is well-known that every algebraic group of type F_4 is the automorphism group of an exceptional Jordan algebra, and that up to isogeny all groups of type ^1E_6 with trivial Tits algebras arise as the isometry groups of norm forms of such Jordan ...
Allen +46 more
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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Non-Associative Structures and Their Applications in Differential Equations
Mathematics, 2023 This article establishes a connection between nonlinear DEs and linear PDEs on the one hand, and non-associative algebra structures on the other. Such a connection simplifies the formulation of many results of DEs and the methods of their solution.
Yakov Krasnov
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents
Journal of Mathematics, 2021 Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras [PDF]
, 2012 We study certain "\sigma-commuting varieties" associated with a pair of commuting involutions of a semisimple Lie algebra $\g$. The usual commuting variety of $\g$ and commuting varieties related to one involution are particular cases of our construction.
Panyushev, Dmitri I.
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Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products
Journal of Mathematics, 2022 Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
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Composites and Categories of Euclidean Jordan Algebras [PDF]
Quantum, 2020 We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the desire to construct dagger-compact categories of such models. We show that
Howard Barnum +2 more
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Composition Algebras, Exceptional Jordan Algebra and Related Groups
, 2017 Communicated by Ivaïlo M. Mladenov Abstract. Normed division rings are reviewed in the more general framework of composition algebras that include the split (indefinite metric) case.
I. Todorov, S. Drenska
semanticscholar +1 more source
Journal of Algebra, 1994 AbstractIn this paper we give a complete description of primitive Jordan algebras over fields of characteristic not two in the spirit of E. I. Zel′manov′s classification of prime Jordan algebras (1983, Siberian Math. J.24, No. 1, 73-85). We also prove that associative tight envelopes of special primitive Jordan algebras are also primitive.
F. Montaner, J.A. Anquela
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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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