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Part of the book series: Lecture Notes in Physics Monographs ((LNPMGR,volume 27))

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Abstract

In this section we consider the particular loop group LS1 viewed as an abelian subgroup of the restricted unitary group, discussed in section 2.3. We will, in particular, use the infinite-dimensional spin representation, treated in detail in sections 2.4 and 2.3, in our discussion of the particular loop group LS1, also known as the loop circle. Section 4.1 on loop algebras will serve as background material.

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© 1995 Springer-Verlag Berlin Heidelberg

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(1995). Applications. In: Infinite Dimensional Groups and Algebras in Quantum Physics. Lecture Notes in Physics Monographs, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49141-5_5

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  • DOI: https://doi.org/10.1007/978-3-540-49141-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58914-3

  • Online ISBN: 978-3-540-49141-5

  • eBook Packages: Springer Book Archive

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