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<p>In this paper we derive new symmetry and new expression for 6<i>j</i>-symbols of the unitary principal series representations of the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13324_2025_1113_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="63" /> </InlineMediaObject> <EquationSource Format="TEX">\(SL(2,\mathbb {C})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>S</mi> <mi>L</mi> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mi mathvariant="double-struck">C</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> group. This allowed us to derive for them the analogue of the Regge symmetry.</p>

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Regge symmetry of 6j-symbols of the Lorentz group

  • 期刊论文

  • 发表日期：

    2025年7月29日

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  • Elena Apresyan,
  • Gor Sarkissian

摘要

In this paper we derive new symmetry and new expression for 6j-symbols of the unitary principal series representations of the \(SL(2,\mathbb {C})\) S L ( 2 , C ) group. This allowed us to derive for them the analogue of the Regge symmetry.