Korean J. Math. Vol. 22 No. 2 (2014) pp.325-337
DOI: https://doi.org/10.11568/kjm.2014.22.2.325

Combinatorial interpretations of the orthogonality relations for spin characters of $\tilde{S_n}$

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Published: Jun 17, 2014
Keywords:
partition, shifted rimhook tableaux, spin character, symmetric function, $P$-function, $Q$-function, orthogonality relation
Mathematics Subject Classification:
05E10

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Jaejin Lee
Department of Mathematics Hallym University

Abstract

In 1911 Schur[6] derived degree and character formulas for projective representations of the symmetric groups remarkably similar to the corresponding formulas for ordinary representations. Morris[3] derived a recurrence for evaluation of spin characters and Stembridge[8] gave a combinatorial reformulation for Morris' recurrence. In this paper we give combinatorial interpretations for the orthogonality relations of spin characters based on Stembridge's combinatorial reformulation for Morris' rule.



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References

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