Bar weights of bar partitions and spin character zeros
Journal of Algebraic Combinatorics, Tome 26 (2007) no. 1, pp. 107-124.

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

Summary: The main combinatorial result in this article is a classification of bar partitions of $n$ which are of maximal $p$-bar weight for all odd primes $p \leq n$. As a consequence, we show that apart from very few exceptions any irreducible spin character of the double covers of the symmetric and alternating groups vanishes on some element of odd prime order.
Classification : 05A17
Keywords: keywords bar partitions, bar cores, bar weights, symmetric group, alternating group, spin characters, character zeros
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     title = {Bar weights of bar partitions and spin character zeros},
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Bessenrodt, Christine. Bar weights of bar partitions and spin character zeros. Journal of Algebraic Combinatorics, Tome 26 (2007) no. 1, pp. 107-124. http://geodesic.mathdoc.fr/item/JAC_2007__26_1_a1/