Results 31 to 40 of about 4,281 (128)

On fixed points of self maps of the free ball [PDF]

, 2018
In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ball with a linear subspace.
Abate, Agler, Agler, Agler, Agler, Agler, Agler, Agler, Arazy, Arias, Arveson, Augat, Ball, Ball, Belinschi, Bunce, Chakrabarti, Davidson, Davidson, Davidson, Davidson, Davidson, Davidson, Drury, Eli Shamovich, Evans, Farenick, Franzoni, Frazho, Fritz, Garnett, Helton, Helton, Helton, Helton, Helton, Helton, Hervé, Kaliuzhnyi-Verbovetskyi, Kobayashi, Lempert, Lewis, McCarthy, Muhly, Muhly, Muhly, Muhly, Passer, Popa, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Popescu, Rudin, Salomon, Salomon, Taylor, Taylor, Vesentini, Vesentini, Vigué, Vigué, Voiculescu, Voiculescu, Voiculescu, Voiculescu   +71 more
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Noncommutative Jordan algebras of characteristic 0 [PDF]

Proceedings of the American Mathematical Society, 1955
That is, A is flexible (a weaker condition than commutativity). If a unity element is adjoined to A in the usual fashion, then a necessary and sufficient condition that (2) be satisfied in the extended algebra is that both (2) and (3) be satisfied in A. We define a noncommutative Jordan algebra A over an arbitrary field F to be an algebra satisfying (1)
openaire   +1 more source

A Natural Basis for Spinor and Vector Fields on the Noncommutative sphere

, 1997
The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger representation of su(2). This Algebra is quotiented by the square-root of the Casimir to produce a non-associative algebra denoted by $\Psi$.
Gratus, Jonathan
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Colour Algebras over Rings

Axioms
Colour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell–Mann ...
Susanne Pumplün
doaj   +1 more source

Open problems, questions, and challenges in finite-dimensional integrable systems [PDF]

, 2018
The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference “Finite-dimensional Integrable ...
Bolsinov, Alexey, Matveev, Vladimir, Miranda Galcerán, Eva, Tabachnikov, Sergei   +3 more
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Structure theory for noncommutative Jordan H∗-algebras

Journal of Algebra, 1987
The theory of associative Hilbert algebras as developed in [\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364-386 (1945; Zbl 0060.269)] has been extended to various classes of nonassociative algebras, among them Jordan algebras, cf. [\textit{C. Viola Devapakkiam}, Math. Proc. Camb. Philos. Soc. 78, 293-300 (1975; Zbl 0357.17015) and with \textit{P. S.
Mira, JoséAntonio Cuenca, Palacios, Angel Rodriguez   +1 more
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Structure and Representations of Noncommutative Jordan Algebras [PDF]

Transactions of the American Mathematical Society, 1966
The author first proves an analogue of \textit{N. Jacobson}'s coordinatization theorem [Osaka Math. J. 6, 1--71 (1954; Zbl 0059.02902); Proc. Natl. Acad. Sci. USA 48, 1154--1160 (1962; Zbl 0115.02703)] for noncommutative Jordan algebras with \(n\ge 3\) connected orthogonal idempotents which characterizes such algebras as commutative Jordan algebras \(H(
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On Pre-Hilbert Noncommutative Jordan Algebras Satisfying [PDF]

ISRN Algebra, 2012
Let be a real or complex algebra. Assuming that a vector space is endowed with a pre-Hilbert norm satisfying for all . We prove that is finite dimensional in the following cases. (1) is a real weakly alternative algebra without divisors of zero. (2) is a complex powers associative algebra. (3) is a complex flexible algebraic algebra. (4) is a
Mohamed Benslimane, Abdelhadi Moutassim
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A Generalization of Noncommutative Jordan Algebras [PDF]

Proceedings of the American Mathematical Society, 1959
and consider algebras satisfying (1) and (3). In ?1 we show that such algebras of characteristic not 2 or 3 are strictly power-associative, and in ?2 we establish several properties of the submodules A e(X) of these algebras. In the last section we use these results and follow the arguments in [6] to show the existence of an identity element in the ...
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Discrete Minimal Surface Algebras [PDF]

, 2010
We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a ...
Arnlind, Joakim, Hoppe, Jens
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