Tom Lada

Publications (5)0 Total impact

• Source

  Available from: ArXiv

  Article: A Finite Dimensional $A_{\infty}$ Algebra Example

  Michael P. Allocca, Tom Lada
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  ABSTRACT: We construct an example of an $A_{\infty}$ algebra structure defined over a finite dimensional graded vector space. Comment: 11 pages
  10/2010;
• Source

  Available from: ArXiv

  Article: Examples of Homotopy Lie Algebras

  Klaus Bering, Tom Lada
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  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. Comment: 12 pages, LaTeX. v2: Minor corrections. To appear in the proceedings of the 29th Srni winter school "Geometry and Physics", published in the journal Archivum Mathematicum (Brno), see http://emis.muni.cz/journals/AM/
  03/2009;
• Source

  Available from: ArXiv

  Article: Symmetrization of Brace Algebras

  Marilyn Daily, Tom Lada
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  ABSTRACT: We show that the symmetrization of a brace algebra structure yields the structure of a symmetric brace algebra.
  04/2005;
• Article: Introduction, Homology, Homotopy and Applications, vol. 7, no. 2 (2005)

  James Stasheff, Tom Lada
• Source

  Available from: intlpress.com

  Article: A finite dimensional {$L\sb \infty$} algebra example in gauge theory

  Marilyn Daily, Tom Lada
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  ABSTRACT: We construct an example of a finite dimensional $L_{\infty}$ algebra which is generated by a Lie algebra together with a non-Lie action on another vector space. We then show how this example fits into the gauge transformation theory of Berends, Burgers and Van Dam.