Complex structures on the complexification of a real Lie algebra

Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the scalar restriction. Conversely, let J̃ be an int...

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Bibliographic Details
Main Author: Yamada Takumi
Format: article
Language:EN
Published: De Gruyter 2018
Subjects:
Online Access:https://doaj.org/article/b0491356f00f474abb8aac5e789c09b4
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