Results 11 to 20 of about 18,023 (119)

Structure Theory for Real Noncommutative Jordan H*-Algebras

Journal of Algebra, 1994
An \(H^*\)-algebra is an algebra defined on a real or complex Hilbert space, with inner product \((\cdot|\cdot)\), together with an involution \(*\) such that \((xy| z)= (y| x^* z)=(x| zy^*)\). This paper is devoted to the study of the real noncommutative Jordan \(H^*\)-algebras. The complex case was dealt with by \textit{J. A.
Mira, J.A.C., Sanchez, A.S.
openaire   +2 more sources

SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS

Образование и наука, 2017
The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at ...
V. I. Igoshin
doaj   +1 more source

A new construction of Moufang quadrangles of type E6, E7 and E8 [PDF]

, 2014
In the classification of Moufang polygons by J. Tits and R. Weiss, the most intricate case is by far the case of the exceptional Moufang quadrangles of type E6, E7 and E8, and in fact, the construction that they present is ad-hoc and lacking a deeper ...
Boelaert, Lien, De Medts, Tom
core   +2 more sources

Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics

Advances in Mathematical Physics, 2012
Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics, and Jordan algebras. This
Gerd Niestegge
doaj   +1 more source

Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry [PDF]

, 2017
We describe a model where breaking of W3 symmetry will lead to the emergence of time and subsequently of space. Surprisingly the simplest such models which lead to higher dimensional spacetimes are based on the four "magical" Jordan algebras of 3x3 ...
Ambjorn, J., Watabiki, Y.
core   +4 more sources

Unified Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Five Dimensions [PDF]

, 2003
Unified N=2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity theories in which all the vector fields, including the graviphoton, transform in an irreducible representation of a simple global symmetry group of the Lagrangian.
A. Hebecker, A.B. Kobakhidze, B. de Wit, B. de Wit, B. de Wit, B.A. Rozenfeld, B.N. Allison, C. Giunti, C. Hertneck, E. Bergshoeff ., E. Cartan, E. Cartan, E.G. Goodaire, G. Altarelli, G. Dall'Agata, G.A. Diamandis, H. Freudenthal, I. Antoniadis, J. Strathdee, J. Tits, J.R. Ellis, J.R. Ellis, K. Behrndt, K. Mc Crimmon, L. Michel, L. Michel, L.J. Romans, M. Awada, M. de Roo, M. Günaydin, M. Günaydin, M. Günaydin, M. Günaydin, M. Koecher, M. Zagermann, M.Günaydin, M.Günaydin, Marco Zagermann, Murat Günaydin, O.R. Rothaus, P. Jordan, P. Langacker, P.K. Townsend, See N. Jacobson, T. Mohaupt, U. Amaldi, W.-T. Hsiang, Y. Kawamura, Y. Kawamura, Y. Kawamura   +49 more
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A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras [PDF]

, 2020
Quantum theory's Hilbert space apparatus in its finite-dimensional version is nearly reconstructed from four simple and quantum-mechanically motivated postulates for a quantum logic.
Niestegge, Gerd
core   +2 more sources

Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity

, 2014
We analyze the polynomial part of the Iwasawa realization of the coset representative of non compact symmetric Riemannian spaces. We start by studying the role of Kostant's principal SU(2)_P subalgebra of simple Lie algebras, and how it determines the ...
Andrianopoli, Andrianopoli, Andrianopoli, Andrianopoli, Andrianopoli, Andrianopoli, Andrianopoli, Araki, Baez, Barton, Beisert, Bellucci, Bergshoeff, Bergshoeff, Bern, Bern, Bern, Bern, Bern, Bianchi, Biedenharn, Borel, Borsten, Bossard, Bossard, Bossard, Bossard, Bossard, Bott, Boya, Breitenlohner, Cacciatori, Calabi, Campoleoni, Cartan, Castro, Cecotti, Cecotti, Cerchiai, Cerchiai, Ceresole, Ceresole, Chevalley, Cremmer, Cremmer, Cremmer, Cremmer, de Azcarraga, de Azcárraga, de Wit, de Wit, de Wit, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Fischler, Fré, Galperin, Galperin, Gel'fand, Gruber, Günaydin, Günaydin, Günaydin, Günaydin, Günaydin, Günaydin, Hopf, Jordan, Kac, Kallosh, Kallosh, Katz, Klein, Kleinschmidt, Kostant, Lu, Luciani, Macfarlane, Marcus, McInnes, Mountain, Okubo, Okubo, Ooguri, Perelomov, Pontrjagin, Racah, Riccioni, Roest, Samelson, Shioda, Slansky, Strominger, Strominger, Tachikawa, Yokota   +102 more
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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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On structure and TKK algebras for Jordan superalgebras [PDF]

, 2017
We compare a number of different definitions of structure algebras and TKK constructions for Jordan (super)algebras appearing in the literature. We demonstrate that, for unital superalgebras, all the definitions of the structure algebra and the TKK ...
Barbier, Sigiswald, Coulembier, Kevin
core   +2 more sources