ðeɪ ɐtɹˈæktᵻd ˈɪntɹɛst ˈæftɚ dʒˈiːnlˈuːi lˈɑːdeɪ nˈoʊɾɪst ðætðə klˈæsɪkəl ʃˈɛvɐli ˈaɪlənbˌɜːɡ bˈaʊndɚɹi mˈæp ɪnðɪ ɛkstˈɪɹiɚ mˈɑːdʒuːl əvə lˈaɪ ˈældʒᵻbɹə kæn biː lˈɪftᵻd tə ðə tˈɛnsɚ mˈɑːdʒuːl wˌɪtʃ jˈiːldz ɐ nˈuː tʃˈeɪn kˈɑːmplɛks.
They attracted interest after Jean-Louis Loday noticed that the classical Chevalley–Eilenberg boundary map in the exterior module of a Lie algebra can be lifted to the tensor module which yields a new chain complex.