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arXiv 0802.1083math.GT
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B型Temperley-Lieb代数的格拉姆行列式

The Gram determinant of the type B Temperley-Lieb algebra

Qi Chen, Jozef H. Przytycki

摘要:

本文解决了Rodica Simion提出的关于B型格拉姆行列式的一个问题.我们提出这一时尚的影响W.B.R.Lickorish的工作Witten-Reshetikhin-Turaev不变量的3流形。行列式的根由Dabkowski和Przytycki预言,完全因式分解由Gefry Barad证明。我们将给出一个详细的历史,这个问题的续集文件中,我们还计划解决其他相关问题的西蒙,并连接到问题的弗伦克尔,霍瓦诺夫的工作。

英文摘要:

In this paper, we solve a problem posed by Rodica Simion regarding type B Gram determinants. We present this in a fashion influenced by the work of W.B.R.Lickorish on Witten-Reshetikhin-Turaev invariants of 3-manifolds. The roots of the determinant were predicted by Dabkowski and Przytycki, and the complete factorization was conjectured by Gefry Barad. We will give a detailed history of this problem in a sequel paper in which we also plan to address other related questions by Simion, and connect the problem to Frenkel-Khovanov's work.

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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