Cellularity of the lowest two-sided ideal of an affine Hecke algebra

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Cellularity of the lowest two-sided ideal of an affine Hecke algebra

In this paper we show that the lowest two-sided ideal of an affine Hecke algebra is affine cellular for all choices of parameters. We explicitely describe the cellular basis and we show that the basis elements have a nice decomposition when expressed in the Kazhdan-Lusztig basis. In type A we provide a combinatorial description of this decomposition in term of number of paths.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2014

ISSN: 0001-8708

DOI: 10.1016/j.aim.2014.01.010