Algebraic families of groups and commuting involutions

Dan Barbasch; Nigel Higson; Eyal Subag

doi:10.1142/S0129167X18500301

Algebraic families of groups and commuting involutions

Dan Barbasch
, Nigel Higson
, Eyal Subag

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Let G be a complex affine algebraic group, and let σ1 and σ2 be commuting antiholomorphic involutions of G. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that interpolates between the real forms G^σ1 and G^σ2.

Original language	English (US)
Article number	1850030
Journal	International Journal of Mathematics
Volume	29
Issue number	4
DOIs	https://doi.org/10.1142/S0129167X18500301
State	Published - Apr 1 2018

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/S0129167X18500301

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title = "Algebraic families of groups and commuting involutions",

abstract = "Let G be a complex affine algebraic group, and let σ1 and σ2 be commuting antiholomorphic involutions of G. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that interpolates between the real forms Gσ1 and Gσ2.",

author = "Dan Barbasch and Nigel Higson and Eyal Subag",

year = "2018",

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doi = "10.1142/S0129167X18500301",

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T1 - Algebraic families of groups and commuting involutions

AU - Barbasch, Dan

AU - Higson, Nigel

AU - Subag, Eyal

PY - 2018/4/1

Y1 - 2018/4/1

N2 - Let G be a complex affine algebraic group, and let σ1 and σ2 be commuting antiholomorphic involutions of G. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that interpolates between the real forms Gσ1 and Gσ2.

AB - Let G be a complex affine algebraic group, and let σ1 and σ2 be commuting antiholomorphic involutions of G. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that interpolates between the real forms Gσ1 and Gσ2.

UR - https://www.scopus.com/pages/publications/85045287448

UR - https://www.scopus.com/pages/publications/85045287448#tab=citedBy

U2 - 10.1142/S0129167X18500301

DO - 10.1142/S0129167X18500301

M3 - Article

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SN - 0129-167X

VL - 29

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 4

M1 - 1850030

ER -

Algebraic families of groups and commuting involutions

Abstract

All Science Journal Classification (ASJC) codes

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