TY - JOUR TI - An affine Weyl group interpretation of the "motivated proofs" of the Rogers-Ramanujan and Gordon-Andrews-Bressoud identities DO - https://doi.org/doi:10.7282/T32F7QK5 PY - 2016 AB - A “motivated proof” of the Rogers-Ramanujan identities was given by G. E. Andrews and R. J. Baxter. This proof was generalized to the odd-moduli case of Gordon's identities by J. Lepowsky and M. Zhu, and later to the even-moduli case of the Andrew-Bressoud identities by S. Kanade, Lepowsky, M. C. Russell and A. Sills. We present a reinterpretation of these proofs, with new motivation coming from the affine Weyl group of $mathfrak{sl}(2)$. KW - Mathematics LA - eng ER -