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David Jordan

  1. Lower central series of free algebras in symmetric tensor categories.

    Tue, 01/12/2010 - 16:01 — SomNambul
    Authors: David Jordan, Asilata Bapat
    Subjects: Rings and Algebras
    Abstract

    We continue the study of the lower central series of a free associative
    algebra, initiated by B. Feigin and B. Shoikhet (arXiv:math/0610410).

  2. Quantum symmetric pairs and representations of double affine Hecke algebras of type $(C^\vee_n,C_n)$.

    Mon, 08/24/2009 - 13:10 — SomNambul
    Authors: David Jordan, Xiaoguang Ma
    Subjects: Quantum Algebra
    Abstract

    We build representations of the affine and double affine braid groups and
    Hecke algebras of type $(C^\vee_n,C_n)$, based upon the theory of quantum
    symmetric pairs $(U,B)$. In the case $U=U_q(gl_N)$, our constructions provide a
    quantization of the representations constructed by Etingof, Freund and Ma in
    arXiv:0801.1530, and also a type $BC$ generalization of the results in
    arXiv:0805.2766.

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