[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.4.745

HANKEL PFAFFIANS, DISCRIMINANTS AND KAZHDAN-LUSZTIG BASES

Lascoux, Alain (CNRS, IGM, Universite de Paris-Est)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.4, 2012 , pp. 745-763 More about this Journal

Abstract

We use Kazhdan-Lusztig bases of representations of the symmetric group to express Pfaffians with entries $(a_i-a_j)h_{i+j}$ . In the case where the parameters $a_i$ are specialized to successive powers of $q$ , and the $h_i$ are complete functions, we obtain the $q$ -discriminant.

Keywords

Pfaffians; discriminants; Kazhdan-Lusztig bases;

Citations & Related Records

Reference

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