Quantum Groups and Their Representations
Quantum Groups and Their Representations
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DOI：
10.1007/978-3-642-60896-4
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发表时间：
1998-01
期刊：
影响因子：
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通讯作者：
A. Klimyk;K. Schmüdgen
中科院分区：
文献类型：
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作者：
A. Klimyk;K. Schmüdgen
这本书开始介绍量子群的初学者和继续作为一本教科书的研究生在物理和数学。它也可以被更高级的读者用作参考。作者涵盖了大量但精心挑选的各种主题，从量子群理论（量子化通用包络代数，量子化代数的功能）和q-变形代数（q-振荡器代数），他们的陈述和corepresentation，和非交换微分。这本书是写在物理和数学的潜在应用铭记。详细地给出了基本量子群和量子代数及其表示，并附有明确的公式。一些更先进的一般理论的主题和结果的开发和讨论。
This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.