In this chapter we identify two algebraic groups associated with Albert algebras. We first
determine the automorphism group; this will be shown to be an exceptional simple algebraic …

INTRODUCTION.—This paper is divided into two somewhat different parts. In part I we
consider the center^ of the universal enveloping algebra* U of a Lie algebra fi, which is the Lie …

Here is, how, very roughly, the Dynkin diagram of a quasi-simple Lie group G arises as the
fibre of a resolution of singularities of a certain variety associated to G. Let G be a quasi-…

This article surveys the theory of projective planes over rings of stable rank 2. Such a plane
is described as a structure of points and lines together with an incidence relation and a …

Publisher Summary This chapter presents the theory of projective planes and spaces over
associative rings of stable rank 2, from both an algebraic and an axiomatic point of view. It …

This paper gives an axiomatic characterization of projective planes over rings of stable rank
2. These rings, which are known from algebraic K-theory, beautifully reflect simple geometric …

In this paper we shall deal with some geometric properties of a class of projective planes
including octave planes. In the first chapter we have collected some results from other papers …

BAKER, CA; LANE, ND; LORIMER, JW: 82 Order and topology in projective Hjelmslev planes.
J. Geom. 19 (1982), 8-42. 84 Preordered affine Hjelmslev planes. J. Geom. 23 (1984), 8-…

Making use of results of Curtis [4] on the representations of Lie algebras of classical type,
Steinberg [12] h as shown that all irreducible representations of a semisimple algebraic group …

In this paper we give some additions and extensions to our previous paper [4] 2). In section l
some remarks are made on trace-valued forms, in 2 a simpler formulation of one of our …