Study of inclusive<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>production in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>annihilations at 29 GeV

Cross sections are presented for the inclusive production of $\ensuremath{\Lambda}$ hyperons in electron-positron annihilations at $\sqrt{s}=29$ GeV based on the full 291-${\mathrm{pb}}^{\ensuremath{-}1}$ sample of data taken in the High Resolution Spectrometer experiment at the SLAC ${e}^{+}{e}^{\ensuremath{-}}$ storage ring PEP. These results, and the associated correlation analyses, are consistent with the Lund model predictions with the strange diquark suppression ratio $\ensuremath{\delta}$ fixed at 0.59\ifmmode\pm\else\textpm\fi{}0.10\ifmmode\pm\else\textpm\fi{}0.18, as compared to the standard Lund value of 0.32. The $\ensuremath{\Lambda}$ multiplicity has been found to be 0.182\ifmmode\pm\else\textpm\fi{}0.020 per event. The opposite-strangeness multiplicity $〈{n}_{\ensuremath{\Lambda}\overline{\ensuremath{\Lambda}}}〉$ has been measured to be 0.046\ifmmode\pm\else\textpm\fi{}0.020, whereas the like-strangeness multiplicity $〈{n}_{\ensuremath{\Lambda}\ensuremath{\Lambda}+\overline{\ensuremath{\Lambda}}\overline{\ensuremath{\Lambda}}}〉$ is 0.009\ifmmode\pm\else\textpm\fi{}0.028. A strong correlation is found between $\ensuremath{\Lambda}'\mathrm{s}$ and $\overline{\ensuremath{\Lambda}}'\mathrm{s}$; when one is found in an event, the other is found in the same event with a probability that exceeds 50%.