symmetry classes of polynomials associated with the direct product of permutation groups
نویسندگان
چکیده
let $g_{i} $ be a subgroup of $ s_{m_{i}} , 1 leq i leq k$. suppose $chi_{i}$ is an irreducible complex character of $g_{i}$. we consider $ g_{1}times cdots times g_{k} $ as subgroup of $ s_{m} $, where $ m=m_{1}+cdots +m_{k} $. in this paper, we give a formula for the dimension of $h_{d}(g_{1}times cdots times g_{k}, chi_{1}timescdots times chi_{k})$ and investigate the existence of an o-basis of this type of classes.
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 3
شماره 4 2014
میزبانی شده توسط پلتفرم ابری doprax.com
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