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J. Scott Carter Daniel The Classical and Quantum 6j-sym (Paperback) (US IMPORT)
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- Book Title
- The Classical and Quantum 6j-symbols. (MN-43), Volume 43
- Title
- The Classical and Quantum 6j-symbols. (MN-43), Volume 43
- ISBN-10
- 0691027307
- EAN
- 9780691027302
- ISBN
- 9780691027302
- Release Year
- 1995
- Release Date
- 31/12/1995
- Country/Region of Manufacture
- US
- Item Length
- 152mm
- Genre
- Science Nature & Math
- Series
- Mathematical Notes
- Publication Year
- 1995
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- The Classical and Quantum 6j-Symbols. (Mn-43) , Volume 43
- Item Height
- 235mm
- Publisher
- Princeton University Press
- Item Width
- 152mm
- Subject
- Mathematics, Physics
- Item Weight
- 255g
- Number of Pages
- 176 Pages
About this product
Product Information
Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical and quantum. Covering representations of U(sl(2)), quantum sl(2), the quantum trace and color representations, and the Turaev-Viro invariant, this work is useful to graduate students and professionals. The classic subject of representations of U(sl(2)) is equivalent to the physicists' theory of quantum angular momentum. This material is developed in an elementary way using spin-networks and the Temperley-Lieb algebra to organize computations that have posed difficulties in earlier treatments of the subject. The emphasis is on the 6j-symbols and the identities among them, especially the Biedenharn-Elliott and orthogonality identities. The chapter on the quantum group Uq(sl(2)) develops the representation theory in strict analogy with the classical case, wherein the authors interpret the Kauffman bracket and the associated quantum spin-networks algebraically. The authors then explore instances where the quantum parameter q is a root of unity, which calls for a representation theory of a decidedly different flavor.The theory in this case is developed, modulo the trace zero representations, in order to arrive at a finite theory suitable for topological applications. The Turaev-Viro invariant for 3-manifolds is defined combinatorially using the theory developed in the preceding chapters. Since the background from the classical, quantum, and quantum root of unity cases has been explained thoroughly, the definition of this invariant is completely contained and justified within the text.
Product Identifiers
Publisher
Princeton University Press
ISBN-13
9780691027302
eBay Product ID (ePID)
94412551
Product Key Features
Publication Name
The Classical and Quantum 6j-Symbols. (Mn-43) , Volume 43
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
1995
Type
Textbook
Number of Pages
176 Pages
Dimensions
Item Height
235mm
Item Width
152mm
Item Weight
255g
Additional Product Features
Series Title
Mathematical Notes
Country/Region of Manufacture
United States
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eBay item number:404508678440
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