Four lines in space

Jaume Aguadé

doi:10.1007/s00022-008-2038-8

Four lines in space

Jaume Aguadé

Department of Mathematics

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

Abstract

We introduce an invariant of sets of four lines in three-dimensional projective space which classifies these sets up to linear equivalence, and we relate this invariant to the representation theory of the infinite dihedral group. © 2008 Birkhäuser Verlag Basel/Switzerland.

Original language	English
Pages (from-to)	1-16
Journal	Journal of Geometry
Volume	92
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-008-2038-8
Publication status	Published - 1 Mar 2009

Keywords

Four subspace problem
Invariants
Pairs of involutions
Representations

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10.1007/s00022-008-2038-8

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title = "Four lines in space",

abstract = "We introduce an invariant of sets of four lines in three-dimensional projective space which classifies these sets up to linear equivalence, and we relate this invariant to the representation theory of the infinite dihedral group. {\textcopyright} 2008 Birkh{\"a}user Verlag Basel/Switzerland.",

keywords = "Four subspace problem, Invariants, Pairs of involutions, Representations",

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year = "2009",

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AB - We introduce an invariant of sets of four lines in three-dimensional projective space which classifies these sets up to linear equivalence, and we relate this invariant to the representation theory of the infinite dihedral group. © 2008 Birkhäuser Verlag Basel/Switzerland.

KW - Four subspace problem

KW - Invariants

KW - Pairs of involutions

KW - Representations

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VL - 92

SP - 1

EP - 16

JO - Journal of Geometry

JF - Journal of Geometry

IS - 1-2

ER -

Four lines in space

Abstract

Keywords

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