Many of the results originally due to Springer, Veldkamp, Jacobson, Suh, and others on octonion planes are derived here in a uniform fashion, valid for all characteristics and for both split and division octonion algebras, by using an exceptional quadratic Jordan algebra. Among …
Groups which satisfy commutator relations of the type satisfied by Chevalley groups, called here "groups with Steinberg relations", are shown to have certain nonassociative division algebras as parameters. This, in turn, allows an introduction of coordinates into certain polygon…
Groups with commutator relations -- Groups associated with Jordan pairs -- Steinberg groups for Peirce graded Jordan pairs -- Jordan graphs - Steinberg groups for root graded Jordan pairs -- Central closedness.
"The 1963 Gottingen notes of T.A. Springer are well-known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, …
"The 1963 Gottingen notes of T.A. Springer are well-known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, …
Analysis on symmetric cones
by Faraut, Jacques, Korányi, Adam
fromOxford mathematical monographs