A general framework for the polynomiality property of the structure coefficients of double-class algebras

Omar Tout*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

4 اقتباسات (Scopus)

ملخص

In this paper, we build a general framework in which we give a formula that shows the form of the structure coefficients of double-class algebras and centers of group algebras. This formula allows us to give a polynomiality property for the structure coefficients of some important algebras. In particular, we re-obtain the polynomiality property of the structure coefficients in the cases of the center of the symmetric group algebra and the Hecke algebra of the pair (S2 n, Bn). We also assign a new polynomiality property for the structure coefficients of the center of the hyperoctahedral group algebra and the Hecke algebra of the pair (Sn×Sn-1opp,diag(Sn-1)).

اللغة الأصليةEnglish
الصفحات (من إلى)1111-1152
عدد الصفحات42
دوريةJournal of Algebraic Combinatorics
مستوى الصوت45
رقم الإصدار4
المعرِّفات الرقمية للأشياء
حالة النشرPublished - يونيو 1 2017

ASJC Scopus subject areas

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