JB algebras with an exceptional ideal.
JB*-triples have Pelczynski's Property V.
Jordan algebras and Capelli identities.
Jordan algebras and degenerate principal series.
Jordan algebras and generalized principle series representations.
Jordan Algebras and Symmetric Siegel Domains in Banach Spaces.
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Jordan homomorphisms in proper JCQ-triples.
Jordan pairs of quadratic forms with values in invertible modules.
Jordan pairs of quadratic forms are generalized so that they have forms with values in invertible modules. The role of such pairs turns out to be natural in describing 'big cells', a kind of open charts around unit sections, of Clifford and orthogonal groups as group schemes. Group germ structures on big cells are particularly interested in and related also to Cayley-Lipschitz transforms.
Jordan polynomials can be analytically recognized
We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.
Jordan (super)coalgebras and Lie (super)coalgebras.
Jordan superderivations. II.
Jordan-Divisionsalgebren und Bewertungen.