Two variable Pfaffian identities and symmetric functions
Journal of Algebraic Combinatorics, Tome 5 (1996) no. 2, pp. 135-148.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We give sign-reversing involution proofs of a pair of two variable Pfaffian identities. Applications to symmetric function theory are given, including identities relating Pfaffians and Schur functions. As a corollary we are able to compute the plethysm $p _{2} ^\circ s _{ k $^ n p_2 $\circ $s_k^n .
Keywords: Pfaffian, involution, Schur function, plethysm, root system
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     author = {Sundquist, Thomas},
     title = {Two variable {Pfaffian} identities and symmetric functions},
     journal = {Journal of Algebraic Combinatorics},
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Sundquist, Thomas. Two variable Pfaffian identities and symmetric functions. Journal of Algebraic Combinatorics, Tome 5 (1996) no. 2, pp. 135-148. http://geodesic.mathdoc.fr/item/JAC_1996__5_2_a2/