کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665983 1633840 2013 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rogers–Ramanujan type identities and Nil-DAHA
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Rogers–Ramanujan type identities and Nil-DAHA
چکیده انگلیسی

Using the DAHA-Fourier transform of q-Hermite polynomials multiplied by level-one theta functions, we obtain expansions of products of any number of such theta functions in terms of the q-Hermite polynomials. An ample family of modular functions satisfying Rogers–Ramanujan type identities for arbitrary (reduced, twisted) affine root systems is obtained as an application. A relation to Rogers dilogarithm and Nahmʼs conjecture is discussed. The q-Hermite polynomials are closely related to the Demazure level-one characters in the twisted case (Sanderson, Ion), which connects our formulas to tensor products of level-one integrable Kac–Moody modules, their coset theory and the level-rank duality.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 248, 25 November 2013, Pages 1050–1088
نویسندگان
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