It takes the average reader 5 hours and 8 minutes to read Quantum Group Symmetry and Q-Tensor Algebras by L C Biedenharn
Assuming a reading speed of 250 words per minute. Learn more
Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natural extension of the concept of symmetry fundamental to physics. This monograph is a survey of the major developments in quantum groups, using an original approach based on the fundamental concept of a tensor operator. Using this concept, properties of both the algebra and co-algebra are developed from a single uniform point of view, which is especially helpful for understanding the noncommuting co-ordinates of the quantum plane, which we interpret as elementary tensor operators. Representations of the q-deformed angular momentum group are discussed, including the case where q is a root of unity, and general results are obtained for all unitary quantum groups using the method of algebraic induction. Tensor operators are defined and discussed with examples, and a systematic treatment of the important (3j) series of operators is developed in detail. This book is a good reference for graduate students in physics and mathematics. Contents:Origins of Quantum GroupsRepresentations of Unitary Quantum GroupsTensor Operators in Quantum GroupsThe Dual Algebra and the Factor GroupQuantum Rotation MatricesQuantum Groups at Roots of UnityAlgebraic Induction of Quantum Group RepresentationsSpecial TopicsBibliographyIndex Readership: Physicists and mathematicians interested in symmetry techniques in physics. keywords:Quantum Groups;Quantum Algebras;Tensor Operators;Symmetries;Representations;q-Boson Operators;q-Clebsch-Gordan Coefficients;Vector Coherent States;Algebraic Induction;Weyl-Ordered Polynomials
Quantum Group Symmetry and Q-Tensor Algebras by L C Biedenharn is 304 pages long, and a total of 77,216 words.
This makes it 103% the length of the average book. It also has 94% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 1 minute to read Quantum Group Symmetry and Q-Tensor Algebras aloud.
Quantum Group Symmetry and Q-Tensor Algebras is suitable for students ages 12 and up.
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