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Hankel Pfaffians, discriminants and Kazhdan-Lusztig bases

Alain Lascoux
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회지 (Journal of the KMS)|제49권 제4호|pp. 745-763|DOI http://dx.doi.org/

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키워드

PfaffiansdiscriminantsKazhdan-Lusztig bases
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초록

We use Kazhdan-Lusztig bases of representations of the symmetric group to express Pfaans with entries (ai - aj )hi+j . In the case where the parameters ai are specialized to successive powers of q, and the hi are complete functions, we obtain the q-discriminant.

Abstract

We use Kazhdan-Lusztig bases of representations of the symmetric group to express Pfaans with entries (ai - aj )hi+j . In the case where the parameters ai are specialized to successive powers of q, and the hi are complete functions, we obtain the q-discriminant.

참고문헌 (16)

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  11. A. Lascoux, "Pfaffans and representations of the symmetric group", Acta Math. Sin. (Engl. Ser.), 25(12), pp.1929~1950 (2009)
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