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hep-thDec 1, 1992
13
citations (OpenAlex)
authors
  • Daniel Arnaudon
institutions
  • European Organization for Nuclear Research
arXiv abstractPDF
paper

Composition of Kinetic Momenta: The U_q(sl(2)) case

arXiv:hep-th/9212067 · doi:10.1007/BF02100490

Abstract

The tensor products of (restricted and unrestricted) finite dimensional irreducible representations of $\uq$ are considered for q a root of unity. They are decomposed into direct sums of irreducible and/or indecomposable representations.

27 pages, harvmac and tables macros needed, minor TeXnical revision to allow automatic TeXing

References in corpus (2)

  • Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs
  • New Solutions to the Yang--Baxter Equation from Two--Dimensional Representations of Uq​(sl(2)) at Roots of Unit

Cited by in corpus (10)

  • Quantum and classical spin network algorithms for q-deformed Kogut-Susskind gauge theories
  • A new twist on dS/CFT
  • Does the XY Model have an integrable continuum limit?
  • Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity
  • Auxiliary matrices for the six-vertex model at roots of unity II
  • Quantum Chains with U_q(SL(2)) Symmetry and Unrestricted Representations
  • Polynomial Relations in the Centre of U_q(sl(N))
  • Uq​sl2​-invariant non-compact boundary conditions for the XXZ spin chain
  • Non integrable representations of the restricted quantum analogue of sl(3) at roots of 1
  • Indecomposable U_q(sl_n) modules for q^h = -1 and BRS intertwiners
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