Derivatons of Jordan C*-algebras.
Dual pair G... x PGL2 G... is the automorphism group of the Jordan algebra.
Generalized projective geometries: General theory and equivalance with Jordan structures.
Homomorphisms of Jordan algebras and homomorphisms of projective planes
Jordan algebras and degenerate principal series.
Jordan algebras and generalized principle series representations.
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.
On real Cartan factors.
Reflections in bounded symmetric domains
Semi-groupe de Lie associé à un cône symétrique
Soit une algèbre de Jordan simple euclidienne de dimension finie et le cône symétrique associé. Nous étudions dans cet article le semi-groupe , naturellement associé à , formé des automorphismes holomorphes du domaine tube qui appliquent le cône dans lui-même.
Spin groups over a commutative ring and the associated root data (odd rank case).
The group of commutativity preserving maps on strictly upper triangular matrices
Let be the algebra of all strictly upper triangular matrices over a unital commutative ring . A map on is called preserving commutativity in both directions if . In this paper, we prove that each invertible linear map on preserving commutativity in both directions is exactly a quasi-automorphism of , and a quasi-automorphism of can be decomposed into the product of several standard maps, which extains the main result of Y. Cao, Z. Chen and C. Huang (2002) from fields to rings.
Un théorème de Liouville pour les algèbres de Jordan
Йордановы гомоморфизмы ассоциативных алгебр с инволюцией
Модулярные представления простых йордановых пар.
О подкольцах инвариантов конечной группы автоморфизмов йорданова кольца.