Twisted Semigroup Algebras
Twisted Semigroup Algebras
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DOI：
10.1007/s10468-015-9525-z
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发表时间：
2014-06
影响因子：
0.6
通讯作者：
Laurent Rigal;P. Zadunaisky
中科院分区：
文献类型：
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作者：
Laurent Rigal;P. Zadunaisky
研究了域上半群代数的2-环扭转，即张扭转。如果底层半群是仿射的，即是阿贝尔的、消去的和有限生成的，那么就有一个仿射环变，我们称其为量子仿射环变。我们证明了每一个量子仿射环面变体都有一个“密集量子环面”，从某种意义上说，它与量子环面具有局域同构。我们研究了量子仿射环面变体，并证明了原环面变体的许多几何规则性在变形过程中仍然存在。
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, thenis an affine toric variety over, and we refer to the twists ofasquantum affine toric varieties. We show that every quantum affine toric variety has a “dense quantum torus”, in the sense that it has a localization isomorphic to a quantum torus. We study quantum affine toric varieties and show that many geometric regularity properties of the original toric variety survive the deformation process.