Claudia Maria Egea

  1. Parametrization of representations of braid groups.

    Authors: Claudia Maria Egea, Esther Galina
    Subjects: Representation Theory
    Abstract

    We give a method to produce representations of the braid group $B_n$ of $n-1$
    generators ($n\leq \infty$). Moreover, we give sufficient conditions over a non
    unitary representation for being of this type. This method produces examples of
    irreducible representations of finite and infinite dimension.

  2. Parametrization of representations of braid groups.

    Authors: Claudia Maria Egea, Esther Galina
    Subjects: Representation Theory
    Abstract

    We give a method to produce representations of the braid group $B_n$ of $n-1$
    generators ($n\leq \infty$). Moreover, we give sufficient conditions over a non
    unitary representation for being of this type. This method produces examples of
    irreducible representations of finite and infinite dimension.

  3. Self-adjoint representations of braid groups.

    Authors: Claudia Maria Egea, Esther Galina
    Subjects: Representation Theory
    Abstract

    We give a method to construct new self-adjoint representations of the braid
    group. In particular, we give a family of irreducible self-adjoint
    representations of dimension arbitrarily large. Moreover we give sufficient
    conditions for a representation to be constructed with this method.

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