Klassifikation der einfachen reellen speziellen Jordan-Tripelsysteme.
Lie triple ideals and Lie triple epimorphisms on Jordan and Jordan-Banach algebras
A linear subspace M of a Jordan algebra J is said to be a Lie triple ideal of J if [M,J,J] ⊆ M, where [·,·,·] denotes the associator. We show that every Lie triple ideal M of a nondegenerate Jordan algebra J is either contained in the center of J or contains the nonzero Lie triple ideal [U,J,J], where U is the ideal of J generated by [M,M,M]. Let H be a Jordan algebra, let J be a prime nondegenerate Jordan algebra with extended centroid C and unital central closure Ĵ, and let...
Monotone Functions on Formally Real Jordan Algebras.
On Algebraic Power-Associative and Jordan Algebras with Semi-Normal Functionals.
On annihilators in Jordan algebras.
In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
On Herstein's theorems relating modularity in A and A(+).
In this paper we will examine the relationship between modularity in the lattices of subalgebras of A and A(+), for A an associative algebra over an algebraically closed field. To this aim we will construct an ideal which measures the modularity of an algebra (not necessarily associative) in paragraph 1, examine modular associative algebras in paragraph 2, and prove in paragraph 3 that the ideal constructed in paragraph 1 coincides for A and A(+). We will also examine some properties of the ideal...
On Linear and Quadratic Jordan Division Algebras.
On real Cartan factors.
On the Scole of a Noncommutative Jordan Algebra.
On the socle of a Jordan pair.
On the Structure of Reduced ...-Ternary Algebras of Degree > 2.
Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.
Prime nondegenerate Jordan algebras with nonzero socle and the symmetric Martindale algebra of quotients.
Reelle Jordanalgebren mit endlicher Spur.
Représentation d'une algèbre de Jordan, polynômes invariants et harmoniques de Stiefel.
Representations of Jordan algebras and special functions
This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
Separable Jordan Pairs Over Commutative Rings.
Springer Forms and the First Tits Construction of Exceptional Jordan Division Algebras.
Strucutre and representations of noncommutative C*-Jordan algebras.
The rationality of the Fourier coefficients of certain Eisenstein series on tube domains (I)