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Introduction to SH Lie algebras for physicists

- T. Lada, J. Stasheff
- Mathematics
- 24 September 1992

UNC-MATH-92/2originally April 27, 1990, revised September 24, 1992INTRODUCTION TO SH LIE ALGEBRAS FOR PHYSICISTSTom LadaJim StasheffMuch of point particle physics can be described in terms of Lie… Expand

Strongly homotopy Lie algebras

The present paper can be thought of as a continuation of the paper "Introduction to sh Lie algebras for physicists" by T. Lada and J. Stasheff (International Journal of Theoretical Physics Vol. 32,… Expand

The Homology of Iterated Loop Spaces

The homology of E? spaces.- The homology of E? ring spaces.- The homology of C n+1-Spaces, n?0.- The homology of SF(n+1).- Strong homotopy algebras over monads.- Errata and addenda to [A],[G], and… Expand

The sh Lie Structure of Poisson Brackets in Field Theory

- G. Barnich, R. Fulp, T. Lada, J. Stasheff
- Mathematics
- 25 February 1997

Abstract:A general construction of an sh Lie algebra (L∞-algebra) from a homological resolution of a Lie algebra is given. It is applied to the space of local functionals equipped with a Poisson… Expand

sh-Lie Algebras Induced by Gauge Transformations

- R. Fulp, T. Lada, J. Stasheff
- Mathematics
- 13 December 2000

Abstract: Traditionally symmetries of field theories are encoded via Lie group actions, or more generally, as Lie algebra actions. A significant generalization is required when “gauge parameters” act… Expand

Homotopy derivations

We define a strong homotopy derivation of (cohomological) degree k of a strong homotopy algebra over an operad $$\mathcal {P}$$P. This involves resolving the operad obtained from $$\mathcal {P}$$P by… Expand

Noether's variational theorem II and the BV formalism

- R. Fulp, T. Lada, J. Stasheff
- Mathematics
- 7 April 2002

We review the basics of the Lagrangian approach to field theory and recast Noether's Second Theorem formulated in her language of dependencies using a slight modernization of terminology and… Expand

COMMUTATORS OF A∞ STRUCTURES

- T. Lada, V. Gugenheim, L. Lambe
- Mathematics
- 2002

This note will be for the most part of an expository nature; many of the results here have appeared elsewhere. We would like however, to highlight the connection between Jim Stasheff’s early work on… Expand

A finite dimensional 𝐴∞ algebra example

- Michael P. Allocca, T. Lada
- Mathematics
- 2010

Abstract We construct an example of an 𝐴∞ algebra structure defined over a finite dimensional graded vector space.

Symmetric Brace Algebras

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