Results 41 to 50 of about 24,051 (192)

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.
openaire   +1 more source

Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures

Mathematics
The main purpose of this paper is to introduce and investigate the notion of Jacobi–Jordan conformal algebras. They are a generalization of Jacobi–Jordan algebras which correspond to the case in which the formal parameter λ equals 0.
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf   +2 more
doaj   +1 more source

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
core   +1 more source

The fundamental theorem of asset pricing with and without transaction costs

Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.
Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
wiley   +1 more source

Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups

, 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, B. Allison, B. Pioline, G. Sierra, H. Freudenthal, H. Freudenthal, H. Freudenthal, H. Freudenthal, I. Kantor, J. Faulkner, J. Tits, J. Tits, J.C. Ferrar, Jian-Shu Li, K. McCrimmon, K. Meyberg, M. Günaydin, M. Günaydin, M. Günaydin, M. Günaydin, M. Günaydin, M. Günaydin, M. Günaydin, M. Günaydin, M. Koecher, Murat Günaydin, Oleksandr Pavlyk, R.O. Schafer, see also T.A. Springer, T.A. Springer   +29 more
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The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

Hom–Jordan–Malcev–Poisson algebras

Ukrains’kyi Matematychnyi Zhurnal, 2022
UDC 512.5 We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called  Hom–Jordan–Malcev–Poisson algebras.   We show that they are closed under twisting by suitable self-maps and   give a characterization of admissible Hom–Jordan–Malcev–Poisson algebras.
Chtioui, T., Mabrouk, S., Makhlouf, A.
openaire   +3 more sources

On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras

International Journal of Mathematics and Mathematical Sciences, 2020
The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
doaj   +1 more source

Jordan Pairs, E6 and U-Duality in Five Dimensions

, 2012
By exploiting the Jordan pair structure of U-duality Lie algebras in D = 3 and the relation to the super-Ehlers symmetry in D = 5, we elucidate the massless multiplet structure of the spectrum of a broad class of D = 5 supergravity theories.
Alessio Marrani, Ananth S, Borsten L Duff M J Ferrara S Marrani A Rubens W, Brink L, Brink L, Bruno Zumino, Compere G, Cremmer E, Dynkin E B, Dynkin E B, Ferrara S Marrani A Trigiante M, Günaydin M, Günaydin M, Günaydin M, Günaydin M Pavlyk O, Jacobson N, Jacobson N, Jordan P, Julia B, Landsberg J M Manivel L, McCrimmon K, Patera J, Roest D, Sergio Ferrara, Springer T A, Truini P   +25 more
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The Mathematical History Behind the Granger–Johansen Representation Theorem

Oxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley   +1 more source