Malihe Yousofzadeh

  1. Locally finite simple Lie algebras containing a maximal toral subalgebra.

    Authors: Malihe Yousofzadeh
    Subjects: Quantum Algebra
    Abstract

    We study locally finite simple Lie algebras containing a maximal toral
    subalgebra and give the structure of those such algebras which are of countable
    dimension with finite dimensional weight spaces.

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

    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.

    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).

    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.

Syndicate content