Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebraso(2r + 1, C)

A new set of tableaux is presented to index the weights of the irreducible spinor representations of the orthogonal Lie algebraso(2r + 1, ℂ). These tableaux are used to develop insertion schemes which combinatorially describe the decomposition of the tensor product of the spin representation with an irreducible representation ofso(2r + 1, ℂ).

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