摘要翻译:
利用Galois下降构造环上分裂单李代数的扭曲形式的中心扩张。这些类型的代数是在扩展仿射李代数的构造中自然产生的。该构造还给出了此类代数的自同构群的结构信息。
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英文标题:
《Descent constructions for central extensions of infinite dimensional Lie
algebras》
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作者:
Arturo Pianzola, Daniel Prelat and Jie Sun
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Rings and Algebras 环与代数
分类描述:Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups
非交换环与代数,非结合代数,泛代数与格论,线性代数,半群
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英文摘要:
We use Galois descent to construct central extensions of twisted forms of split simple Lie algebras over rings. These types of algebras arise naturally in the construction of Extended Affine Lie Algebras. The construction also gives information about the structure of the group of automorphisms of such algebras.
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PDF链接:
https://arxiv.org/pdf/0711.3799