کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4655102 1632932 2016 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Demazure flags, Chebyshev polynomials, partial and mock theta functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Demazure flags, Chebyshev polynomials, partial and mock theta functions
چکیده انگلیسی

We study the level m-Demazure flag of a level ℓ  -Demazure module for sl2[t]sl2[t]. We define the generating series Anℓ→m(x,q) which encodes the q-multiplicity of the level m Demazure module of weight n  . We establish two recursive formulae for these functions. We show that the specialization to q=1q=1 is a rational function involving the Chebyshev polynomials. We give a closed form for Anℓ→ℓ+1(x,q) and prove that it is given by a rational function. In the case when m=ℓ+1m=ℓ+1 and ℓ=1,2ℓ=1,2, we relate the generating series to partial theta series. We also study the specializations An1→3(qk,q) and relate them to the fifth order mock-theta functions of Ramanujan.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 140, May 2016, Pages 38–75
نویسندگان
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