Some Results and Problems in the Theory of Word Maps
Some Results and Problems in the Theory of Word Maps
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词图理论的一些成果和问题
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. Shalev
中科院分区：
文献类型：
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作者：
A. Shalev
近年来，人们对群体词图产生了浓厚的兴趣，其动机和应用多种多样。使用表示论、概率和几何等广泛的工具，已经取得了实质性进展，许多基本问题得到了解决。本文是对该领域各种发展的扩展调查。我们还提出了尚待解决的问题、猜想和进一步研究的可能方向。
In recent years there has been much interest in word maps on groups, with various motivations and applications. Substantial progress has been made and many fundamental questions were solved, using a wide spectrum of tools, including representation theory, probability and geometry. This paper is an extended survey of the various developments in this field. We also suggest remaining open problems, conjectures and possible directions for further research.