ملخص
The Hecke algebra of the pair (S2n,Bn), where B n is the hyperoctahedral subgroup of S2n, was introduced by James in 1961. It is a natural analogue of the center of the symmetric group algebra. In this paper, we give a polynomiality property of its structure coefficients. Our main tool is a combinatorial universal algebra which projects on the Hecke algebra of (S2n, Bn) for every n. To build it, we introduce new objects called partial bijections.
اللغة الأصلية | English |
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الصفحات (من إلى) | 551-562 |
عدد الصفحات | 12 |
دورية | Discrete Mathematics and Theoretical Computer Science |
حالة النشر | Published - 2013 |
منشور خارجيًا | نعم |
الحدث | 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France المدة: يونيو ٢٤ ٢٠١٣ → يونيو ٢٨ ٢٠١٣ |
ASJC Scopus subject areas
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