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math.RAJun 1, 2009
24
citations (OpenAlex)
authors
  • Askar Dzhumadil'daev
  • Pasha Zusmanovich
institutions
  • Kazakh-British Technical University
  • Tallinn University of Technology
arXiv abstractPDF
paper

The alternative operad is not Koszul

arXiv:0906.1272 · doi:10.1080/10586458.2011.544558 10.1080/10586458.2012.738538

Abstract

Using computer calculations, we prove the statement in the title.

v3: added corrigendum

References in corpus (1)

  • Manin products, Koszul duality, Loday algebras and Deligne conjecture

Cited by in corpus (5)

  • Special and exceptional mock-Lie algebras
  • Associator dependent algebras and Koszul duality
  • Cohomology and Formal Deformations of Left Alternative Algebras
  • A Quillen adjunction between algebras and operads, Koszul duality, and the Lagrange inversion formula
  • Dual alternative algebras in characteristic three
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