Derivations of homotopy algebras

Tom Lada; Melissa Tolley

Archivum Mathematicum (2013)

  • Volume: 049, Issue: 5, page 309-315
  • ISSN: 0044-8753

Abstract

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We recall the definition of strong homotopy derivations of A ∞ algebras and introduce the corresponding definition for L ∞ algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.

How to cite

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Lada, Tom, and Tolley, Melissa. "Derivations of homotopy algebras." Archivum Mathematicum 049.5 (2013): 309-315. <http://eudml.org/doc/260816>.

@article{Lada2013,
abstract = {We recall the definition of strong homotopy derivations of $A_\infty $ algebras and introduce the corresponding definition for $L_\infty $ algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.},
author = {Lada, Tom, Tolley, Melissa},
journal = {Archivum Mathematicum},
keywords = {$L_\infty $ algebra; $A_\infty $ algebra; strong homotopy derivation; algebra; algebra; strong homotopy derivation},
language = {eng},
number = {5},
pages = {309-315},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Derivations of homotopy algebras},
url = {http://eudml.org/doc/260816},
volume = {049},
year = {2013},
}

TY - JOUR
AU - Lada, Tom
AU - Tolley, Melissa
TI - Derivations of homotopy algebras
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 5
SP - 309
EP - 315
AB - We recall the definition of strong homotopy derivations of $A_\infty $ algebras and introduce the corresponding definition for $L_\infty $ algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.
LA - eng
KW - $L_\infty $ algebra; $A_\infty $ algebra; strong homotopy derivation; algebra; algebra; strong homotopy derivation
UR - http://eudml.org/doc/260816
ER -

References

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  1. Allocca, M., Lada, T., A finite dimensional A ∞ algebra example, Georgian Math. J. 12 (10) (2010), 1–12. (2010) Zbl1207.18014MR2640644
  2. Kajiura, H., Stasheff, J., 10.1007/s00220-006-1539-2, Comm. Math. Phys. 263 (3) (2006), 553–581. (2006) Zbl1125.18012MR2211816DOI10.1007/s00220-006-1539-2
  3. Lada, T., Commutators of A ∞ structures, Contemporary Mathematics, 1999, pp. 227–233. (1999) Zbl0940.16015
  4. Lada, T., Markl, M., 10.1080/00927879508825335, Comm. Algebra 23 (6) (1995), 2147–2161. (1995) Zbl0999.17019DOI10.1080/00927879508825335
  5. Lada, T., Stasheff, J., 10.1007/BF00671791, Internat. J. Theoret. Phys. 32 (7) (1993), 1087–1103. (1993) Zbl0824.17024DOI10.1007/BF00671791
  6. Stasheff, J., Homotopy associativity of H-spaces II, Trans. Amer. Math. Soc. 108 (1963), 293–312. (1963) 
  7. Tolley, M., The connections between A ∞ and L ∞ algebras, Ph.D. thesis, NCSU, 2013. (2013) 

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