Branching rules, bases of eigenstates and matrix elements for sp(2N,R) without explicit construction

来源 :The XXIX International Colloquium on Group-Theoretical Metho | 被引量 : 0次 | 上传用户：xxf103000

【摘要】

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【作者】

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Rutwig Campoamor-Stursberg

【机构】

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Universidad Complutense de Madrid, Spain

【出处】

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The XXIX International Colloquium on Group-Theoretical Metho

【发表日期】

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2012年8期

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　　Explicit branching rules for irreducible representations of symplectic Lie algebras sp(2N,R) in the reduction with respect to sp(2N-2,R) x sp(2,R) are deduced from the Zhelobenko-Cerkaski inequalities,allowing the classification of multiplicity free reductions and the solution to the internal labelling problem without the use of subgroup scalars.From orthogonal bases of eigenstates the matrix elements for arbitrary multiplets of sp(2N,R) are deduced.

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Branching rules, bases of eigenstates and matrix elements for sp(2N,R) without explicit construction

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