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Pfaffians and Determinants for SchurQ-Functions

✍ Scribed by A.M. Hamel

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
362 KB
Volume
75
Category
Article
ISSN
0097-3165

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✦ Synopsis

Schur Q-functions were originally introduced by Schur in relation to projective representations of the symmetric group, and they can be defined combinatorially in terms of shifted tableaux. In this paper we describe planar decompositions of shifted tableaux into strips and use the shapes of these strips to generate pfaffians and determinants that are equal to Schur Q-functions. As special cases we obtain the classical pfaffian associated with Schur Q-functions, a pfaffian for skew Q-functions due to Jozefiak and Pragacz, and a determinantal expression of Okada. 1996 Academic Press, Inc. * can be interpreted geometrically as a shifted diagram. Shifted diagrams can be filled with integers to create what are known as (shifted) tableaux. article no.

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