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most citedIntroduction to sh Lie algebras for physicists

625 citations · 1.6k across the 32 of their papers we have counts for

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math.QA2021

Brackets by any other name

Jim Stasheff

Brackets by another name, Whitehead or Samelson products, have a history parallel to that in Kosmann-Schwarzbach's From Schouten to Mackenzie: notes on brackets. Here I sketch the…

math.QA2018★ 4 cited

and structures: then and now

Jim Stasheff

Looking back over 55 years of higher homotopy structures, I reminisce as I recall the early days and ponder how they developed and how I now see them. From the history of $A_\infty…

math.QA2012★ 74 cited

Deformation theory and rational homotopy type

Mike Schlessinger, Jim Stasheff

We regard the classification of rational homotopy types as a problem in algebraic deformation theory: any space with given cohomology is a perturbation, or deformation, of the "for…

math.QA2004★ 70 cited

Homotopy algebras inspired by classical open-closed string field theory

Hiroshige Kajiura, Jim Stasheff

We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field t…

math.QA2002★ 22 cited

Noether's variational theorem II and the BV formalism

Ron Fulp, Tom Lada, Jim Stasheff

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 termi…

math.QA2000★ 4 cited

Sh-Lie algebras Induced by Gauge Transformations

Ron Fulp, Tom Lada, Jim Stasheff

The physics of ``particles of spin '' leads to representations of a Lie algebra of gauge parameters on a vector space of fields. Attempts to develop an analogous th…