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arXiv · 1508.01462

Even $(\bar{s}, \bar{t})$-core partitions and self-associate characters of $\tilde{S}_n$

Calvin Deng
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Abstract

A partition is a $\bar{s}$-core if it is the result of removing all of the $s$-bars from a partition. We extend a method of Olsson and Bessenrodt to determine the number of even partitions that are simultaneously $\bar{s}$-core and $\bar{t}$-core. When $p$ and $q$ are distinct primes, this also determines the number of self-associate characters of $\tilde{S}_n$ that are simultaneosly defect 0 for $p$ and $q$.

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Calvin Deng. 2015-08-06. Even $(\bar{s}, \bar{t})$-core partitions and self-associate characters of $\tilde{S}_n$. https://arxiv.org/abs/1508.01462

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