Tom Lada

  1. A Finite Dimensional $A_{\infty}$ Algebra Example.

    Authors: Tom Lada, Michael P. Allocca
    Subjects: Algebraic Topology
    Abstract

    We construct an example of an $A_{\infty}$ algebra structure defined over a
    finite dimensional graded vector space.

  2. Examples of Homotopy Lie Algebras.

    Authors: Klaus Bering, Tom Lada
    Subjects: Quantum Algebra
    Abstract

    We look at two examples of homotopy Lie algebras (also known as L_{\infty}
    algebras) in detail from two points of view. We will exhibit the algebraic
    point of view in which the generalized Jacobi expressions are verified by using
    degree arguments and combinatorics. A second approach using the nilpotency of
    Grassmann-odd differential operators \Delta to verify the homotopy Lie data is
    shown to produce the same results.

  3. Examples of Homotopy Lie Algebras.

    Authors: Klaus Bering, Tom Lada
    Subjects: Quantum Algebra
    Abstract

    We look at two examples of homotopy Lie algebras (also known as L_{\infty}
    algebras) in detail from two points of view. We will exhibit the algebraic
    point of view in which the generalized Jacobi expressions are verified by using
    degree arguments and combinatorics. A second approach using the nilpotency of
    Grassmann-odd differential operators \Delta to verify the homotopy Lie data is
    shown to produce the same results.

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