Scholarlink

<p>We explicitly construct linear generators for the multiplicity spacethat describes the occurrences of an&#xa0;irreducible representationin the decomposition of the tensor product oftwo irreducible finite-dimensional representationsof the Lie algebra of all matrices of a&#xa0;given size.This result is applied to derive an&#xa0;explicit formula for an&#xa0;arbitrary <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1575_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">$ 6j $</EquationSource> </InlineEquation>-symbolassociated with finite-dimensional representations of the Lie algebra.The value of such a&#xa0;symbol is expressed in terms ofa&#xa0;generalized hypergeometric&#xa0;function.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Calculation of \( 6j \)-Symbols for the Lie Algebra \( {\mathfrak{gl}}_{n} \)

  • 期刊论文

  • 发表日期：

    2025年7月23日

查看全文
  • D. V. Artamonov

摘要

We explicitly construct linear generators for the multiplicity spacethat describes the occurrences of an irreducible representationin the decomposition of the tensor product oftwo irreducible finite-dimensional representationsof the Lie algebra of all matrices of a given size.This result is applied to derive an explicit formula for an arbitrary $ 6j $ -symbolassociated with finite-dimensional representations of the Lie algebra.The value of such a symbol is expressed in terms ofa generalized hypergeometric function.