Pure and Applied Mathematics Quarterly

Preface

The essentially tame Jacquet-Langlands correspondence for inner forms of GL(n)

Can An Anisotropic Reductive Group Admit A Tits System?

Tits Construction of The Exceptional Simple Lie Algebras

On Iwahori-Hecke Algebras with Unequal Parameters and Lusztig's Isomorphism Theorem

EE₈-Lattices and Dihedral Groups

Thin Severi-Brauer Varieties

Piecewise Linear Parametrization of Canonical Bases

Strongly p-embedded Subgroups

Masures Affines

Two-Dimensional Ane R-Buildings De-ned by Generalized Polygons with Non-Discrete Valuation

Remarks on Parabolic Character Sheaves

Hua Structures and Proper Moufang Sets with Abelian Root Groups

Generalized Ovals in PG(3n - 1; q), with q Odd

Free Polygons, Twin Trees, and CAT(1)-Spaces