The construction of Chevalley groups relies on some properties of forms over of a complex
semi-simple Lie algebra and of its universal enveloping algebra, which are stated or proved …

Objectives The association between inadequate sleep and type 2 diabetes has garnered
much attention, but little is known about sleep and type 1 diabetes (T1D). Our objectives were …

Sleep duration has been constantly decreasing over the past 50 years. Short sleep duration,
sleep quality and, recently, long sleep duration have all been linked to poor health …

It was mainly concerned with proving a remarkable generalization of the Riemann-Roch
theorem and giving an exposition of the necessary parts of the theories of Kahler manifolds, …

This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting
foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient …

Deals with two types of cohomology spaces pertaining to reductive Lie group G and a
discrete cocompact subgroup. Material presented here naturally divides into two parts, one …

Armond Borel’s influential seminar on transformation groups from the acclaimed Annals of
Mathematics Studies series Princeton University Press is proud to have published the Annals …

Introduction. It is known that the characteristic classes of a real or complex vector bundle may
be interpreted as elementary symmetric functions in certain variables, which are 1, 2 or 4 …

Let IT be a torsion-free arithmetic subgroup of a semi-simple Q-group G. It oper-ates properly
and freely on the symmetric space X of maximal compact subgroups of the group G (R) of …

A complex matric group Gc GL (n, C) is algebraic, defined over Q, if it consists of all invertible
matrices whose coefficients annihilate some set of polynomials on M (n, C) with rational …