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The Classical and Quantum 6j-symbols. (MN-43), Volume 43 by J. Scott Carter, Masahico Saito, Daniel E. Flath (Paperback, 1995)

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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 emphasis is on the 6j-symbols and the identities among them, especially the Biedenharn-Elliott and orthogonality identities.

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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

Author
J. Scott Carter, Masahico Saito, Daniel E. Flath
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

Title_Author
Masahico Saito, Daniel E. Flath, J. Scott Carter
Series Title
Mathematical Notes
Country/Region of Manufacture
United States

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item 1 J. Scott Carter Daniel The Classical and Quantum 6j-sym (Paperback) (US IMPORT)
AU $183.57
Free postage
item 2 The Classical and Quantum 6j-symbols. (MN-43), Volume 43 by J. Scott Carter (Eng
AU $191.29
Free postage

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Picture 1 of 1

The Classical and Quantum 6j-symbols. (MN-43), Volume 43 by J. Scott Carter, Masahico Saito, Daniel E. Flath (Paperback, 1995)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 J. Scott Carter Daniel The Classical and Quantum 6j-sym (Paperback) (US IMPORT)

item 2 The Classical and Quantum 6j-symbols. (MN-43), Volume 43 by J. Scott Carter (Eng

Best Selling in Adult Learning & University

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Doug Stone's Gold Atlas of Victoria by Douglas M. Stone (Spiral Bound, 2011)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Linux Basics For Hackers: Getting Started with Networking, Scripting, and Security in Kali by OccupyTheWeb (Paperback, 2018)

Botanical Field Guide by Stefan Mager (Fold-out book or chart, 2021)

The Hundred Years' War on Palestine: A History of Settler Colonial Conquest and Resistance by Rashid I. Khalidi (Paperback, 2020)

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