Complex structures on nilpotent Lie algebras

Simon Salamon

Complex structures on nilpotent Lie algebras

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Abstract

We classify real 6-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures.

Original language	English
Publication status	Published - 5 Aug 1998

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http://arxiv.org/abs/math/9808025v2

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title = "Complex structures on nilpotent Lie algebras",

abstract = "We classify real 6-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures.",

author = "Simon Salamon",

note = "Pre-print in ArXiv. Improved section 4, 20 pages, to appear in J Pure Appl Algebra.",

year = "1998",

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day = "5",

language = "English",

type = "WorkingPaper",

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T1 - Complex structures on nilpotent Lie algebras

AU - Salamon, Simon

N1 - Pre-print in ArXiv. Improved section 4, 20 pages, to appear in J Pure Appl Algebra.

PY - 1998/8/5

Y1 - 1998/8/5

N2 - We classify real 6-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures.

AB - We classify real 6-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures.

M3 - Preprint

BT - Complex structures on nilpotent Lie algebras

ER -

Complex structures on nilpotent Lie algebras

Abstract

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