Some q-analogues of the Carter-Payne theorem
نویسندگان
چکیده
منابع مشابه
SOME q-ANALOGUES OF THE CARTER–PAYNE THEOREM
Abstract. We prove a q-analogue of the Carter–Payne theorem for the two special cases corresponding to moving an arbitrary number of nodes between adjacent rows, or moving one node between an arbitrary number of rows. As a consequence, we show that these homomorphism spaces are one dimensional when q 6= −1. We apply these results to complete the classification of the reducible Specht modules fo...
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Let x be an element of prime order, p, in a finite group, G, and let P be a p-Sylow subgroup of G containing x. Say that x satisfies the unique conjugacy condition (u.c.c.) relative to G and the p-Sylow subgroup P if x is not conjugate in G to any other element of P. Let 02'(G) denote the largest normal subgroup of G oi odd order. Define the subgroup Z*(G) by the equation Z*(G)/0v(G)=Z(G/0v(G))...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2007
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2007.054