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Saeid Azam

  1. Extended affine Weyl groups: Presentation by conjugation via integral collection.

    Втр, 11/24/2009 - 16:01 — SomNambul
    Authors: Saeid Azam, Valiollah Shahsanaei
    Subjects: Quantum Algebra
    Abstract

    We give several necessary and sufficient conditions for the existence of {\it
    the presentation by conjugation} for a non-simply laced extended affine Weyl
    group. We invent a computational tool by which one can determine simply the
    existence of the presentation by conjugation for an extended affine Weyl group.
    As an application, we determine the existence of the presentation by
    conjugation for a large class of extended affine Weyl groups.

  2. Exposition on affine and elliptic root systems and elliptic Lie algebras.

    Втр, 10/13/2009 - 18:46 — SomNambul
    Authors: Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh
    Subjects: Quantum Algebra
    Abstract

    This is an exposition in order to give an explicit way to understand (1) a
    non-topological proof for an existence of a base of an affine root system, (2)
    a Serre-type definition of an elliptic Lie algebra with rank =>2, and (3) the
    isotropic root multiplicities of those elliptic Lie algebras.

  3. Exposition on affine and elliptic root systems and elliptic Lie algebras.

    Втр, 10/13/2009 - 18:46 — SomNambul
    Authors: Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh
    Subjects: Quantum Algebra
    Abstract

    This is an exposition in order to give an explicit way to understand (1) a
    non-topological proof for an existence of a base of an affine root system, (2)
    a Serre-type definition of an elliptic Lie algebra with rank =>2, and (3) the
    isotropic root multiplicities of those elliptic Lie algebras.

  4. Universal coverings of Lie tori (A finite presentation).

    Ср, 08/26/2009 - 14:58 — SomNambul
    Authors: Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh
    Subjects: Quantum Algebra
    Abstract

    Using the well-known recognition and structural theorem(s) for root-graded
    Lie algebras and their universal coverings, we give a finite presentation for
    the universal covering algebra of a centerless Lie torus of type
    $X\not=A,C,BC$. We follow a unified approach for the types under consideration.

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