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Hiroyuki Yamane

  1. 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.

  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. 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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