Jordan algebras and degenerate principal series.
Jordan algebras and generalized principle series representations.
Jordan algebras and mutation algebras. homotopy and von Neumann regularity
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 and Jordan triple superderivations of superalgebras
We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
Jordan superderivations. II.
Jordan-Divisionsalgebren und Bewertungen.
Jordan-Schwinger representations and factorised Yang-Baxter operators.
Junction type representations of the Temperley-Lieb algebra and associated symmetries.
-Bessel functions associated to a 3-rank Jordan algebra.
-star products on dual of Lie algebras.
Kac-Moody algebras: An introduction for physicists
Kac-Moody groups and integrability of soliton equations.
Kac-Moody groups, hovels and Littelmann paths
We give the definition of a kind of building for a symmetrizable Kac-Moody group over a field endowed with a discrete valuation and with a residue field containing . Due to the lack of some important property of buildings, we call it a hovel. Nevertheless, some good ones remain, for example, the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semisimple case by S. Gaussent and P. Littelmann. In particular, if , the geodesic segments...
Kac-Moody Lie Algebras and the Universal Element for the Category of Nilpotent Lie Algebras.