Fixed Point Free Algebraic Actions on Varieties Diffeomorphic to R n

Karl Heinz Dovermann; Mikiya Masuda; Ted Petrie

doi:10.1007/978-1-4612-3702-0_5

ScienceGate Book Chapters

BOOK-CHAPTER

Fixed Point Free Algebraic Actions on Varieties Diffeomorphic to R n

Karl Heinz Dovermann Mikiya Masuda Ted Petrie

Year: 1989 Birkhäuser Boston eBooks Pages: 49-80

DOI: 10.1007/978-1-4612-3702-0_5

Get Full-Text PDF Get Analytical Report

Abstract

Let F be the field R of real or the field C of complex numbers. This paper deals with the Fixed Point Problem (see [PR1]). Does an algebraic action of a reductive group on affine space F n have a fixed point?

Keywords:

Fixed point Mathematics Affine transformation Algebraic group Field (mathematics) Algebraic number Pure mathematics Diffeomorphism Action (physics) Group (periodic table) Mathematical analysis Physics

Metrics

Cited By

4.17

FWCI (Field Weighted Citation Impact)

Refs

0.94

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Advanced Differential Equations and Dynamical Systems

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Mathematical Dynamics and Fractals

Physical Sciences → Mathematics → Mathematical Physics

Fixed Point Free Algebraic Actions on Varieties Diffeomorphic to R n

Abstract

Metrics

Citation History

Topics

Related Documents

Fixed point free low dimensional real algebraic actions ofA 5 on contractible varieties

Fixed point free low dimensional real algebraic actions of A5 on contractible varieties.

Abelian group actions on algebraic varieties with one fixed point

Fixed-point free SU(n)-actions

Fixed point free actions onp-groups