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arXiv math/0702712math.RT
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sl（2）-Vect_{Pol}（R）-符号模的平凡变形

sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols

Mabrouk Ben Ammar, Maha Boujelbene

备注：
This is a contribution to the Special Issue on Deformation Quantization, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
发表信息：
SIGMA 4 (2008), 065, 19 pages
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摘要：

考虑Vect_{Pol}（R）在微分算子符号空间上的李导数作用.我们研究了这个作用量的变形，这些变形一旦被限制在sl（2）中就变得微不足道。给出了无穷小变形可积的充要条件。

英文摘要：

We consider the action of Vect_{Pol}(R) by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to sl(2). Necessary and sufficient conditions for integrability of infinitesimal deformations are given.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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