TWO-ROWED A-TYPE HECKE ALGEBRA REPRESENTATIONS AT ROOTS OF UNITY†
作者： T. A. Welsh , Trevor Alan Welsh
DOI:
关键词: Hecke algebra 、 Composition series 、 Young tableau 、 Zonal spherical function 、 Basis (universal algebra) 、 Mathematics 、 Algebra representation 、 Hecke operator 、 Pure mathematics 、 Filtered algebra
摘要: In this paper, we describe a study into the explicit construction of irreducible representations Hecke algebra Hn(q) type An−1 in non-generic case where q is root unity. The approach via Specht modules which are generic case, and possess natural basis indexed by Young tableaux. general framework Hn(q)-modules to be constructed set up exploited two-part partitions. For such partitions, obtain composition series modules, for each module terms subset standard tableaux, detail an algorithm their matrix may calculated. Plentiful examples given. Full proofs will given elsewhere.
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