Modified Gelfand-Tseltin patterns, lattice permutations, and skew-tableau polynomials

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Description

A modification of the well-known Gelfand-Tsetlin patterns, which are one-to-one with Young-Weyl standard tableaux is introduced. These new patterns are in one-to-one correspondence with skew-tableaux, and with a slight modification can be used to enumerate lattice permutations. In particular the coupling rule for angular momentum takes an elementary form in terms of these modified patterns. These interrelations will be presented, together with an outline of the construction of a class of polynomials that generalizes the skew Schur functions.

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Louck, James D. January 1, 2002.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 53 times , with 7 in the last month . More information about this article can be viewed below.

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Description

A modification of the well-known Gelfand-Tsetlin patterns, which are one-to-one with Young-Weyl standard tableaux is introduced. These new patterns are in one-to-one correspondence with skew-tableaux, and with a slight modification can be used to enumerate lattice permutations. In particular the coupling rule for angular momentum takes an elementary form in terms of these modified patterns. These interrelations will be presented, together with an outline of the construction of a class of polynomials that generalizes the skew Schur functions.

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  • Submitted to: 7th SSCPM Conference Proceedings, Poland, Sept. 2002, Publisher, World Scientific 2003

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  • Report No.: LA-UR-02-5803
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 976344
  • Archival Resource Key: ark:/67531/metadc927788

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • January 1, 2002

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

Description Last Updated

  • Dec. 12, 2016, 12:25 p.m.

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Louck, James D. Modified Gelfand-Tseltin patterns, lattice permutations, and skew-tableau polynomials, article, January 1, 2002; United States. (digital.library.unt.edu/ark:/67531/metadc927788/: accessed August 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.