Symmetric brace algebras

DOI10.1007/s10485-005-0911-2zbMath1088.55013arXivmath/0307054OpenAlexW2066367290MaRDI QIDQ816656

Tom Lada, Martin Markl

Publication date: 23 February 2006

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307054

zbMATH Keywords

gauge algebrabrace algebrastrongly homotopy structure

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Secondary and higher cohomology operations in algebraic topology (55S20)

Related Items

Enriched pre-Lie operads and freeness theorems, Post-symmetric braces and integration of post-Lie algebras, Algebraic structures underlying quantum independences: theory and applications, From braces to pre-Lie rings, \(L_\infty\) algebra morphisms and symmetric brace algebras, Manin products, Koszul duality, Loday algebras and Deligne conjecture, Gröbner–Shirshov bases for symmetric brace algebras, Maurer-Cartan elements and cyclic operads, Cohomology operations and the deligne conjecture, Brackets by any other name, Models for classifying spaces and derived deformation theory

Cites Work

• The Lie algebra structure of tangent cohomology and deformation theory
• sh-Lie algebras induced by gauge transformations
• The cohomology structure of an associative ring
• On the Lie enveloping algebra of a pre-Lie algebra
• Homotopy algebras are homotopy algebras
• Strongly homotopy lie algebras
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