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量子群和晶体基引论(Introduction to Quantum Groups and Crystal Bases) 1st edition (韩)洪真(jin Hong),(韩)姜锡真(seok-jin Kang)

  • SKU: BELL-81788510
量子群和晶体基引论(Introduction to Quantum Groups and Crystal Bases) 1st edition (韩)洪真(jin Hong),(韩)姜锡真(seok-jin Kang)
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量子群和晶体基引论(Introduction to Quantum Groups and Crystal Bases) 1st edition (韩)洪真(jin Hong),(韩)姜锡真(seok-jin Kang) instant download after payment.

Publisher: 高等教育出版社
File Extension: PDF
File size: 51.86 MB
Pages: 307
Author: (韩)洪真(Jin Hong),(韩)姜锡真(Seok-Jin Kang)
ISBN: 9787040517255, 7040517256
Language: English
Year: 2019
Edition: 1

Product desciption

量子群和晶体基引论(Introduction to Quantum Groups and Crystal Bases) 1st edition (韩)洪真(jin Hong),(韩)姜锡真(seok-jin Kang) by (韩)洪真(jin Hong),(韩)姜锡真(seok-jin Kang) 9787040517255, 7040517256 instant download after payment.

“量子群”的概念是V. G. Drinfel'd和M.Jimbo在各自研究由二维可解格模型得到的量子Yang-Baxter方程时独立引入的。量子群是Hopf代数的某些族,这些族是Kac-Moody代数的泛包络代数的变形。在过去的三十年中,它们已成为数学和数学物理的许多分支背后的基本代数结构,例如统计力学中的可解格模型,链环和结点的拓扑不变理论,Kac-Moody代数的表示论,代数结构的表示论,拓扑量子场论,几何表示论和C*-代数。

特别地,由M. Kashiwara和G. Lusztig独立发展的“晶体基”或“典范基”理论为研究量子群的表示提供了一种强大的组合和几何工具。本书的目的是提供量子群和晶体基理论的基本介绍,重点放在理论的组合方面。

本书适合对非结合环和代数感兴趣的研究生阅读,也可供相关研究人员参考。

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