[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2014.22.2.325

COMBINATORIAL INTERPRETATIONS OF THE ORTHOGONALITY RELATIONS FOR SPIN CHARACTERS OF $\tilde{S}n$

Lee, Jaejin (Department of Mathematics Hallym University)

Publication Information

Korean Journal of Mathematics / v.22, no.2, 2014 , pp. 325-337 More about this Journal

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.

Keywords

partition; shifted rimhook tableaux; spin character; symmetric function; P-function; Q-function; orthogonality relation;

Citations & Related Records

Reference

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