Anatoly Shirshov

Anatoly Illarionovich Shirshov (Анато́лий Илларио́нович Ширшо́в, 8 August 1921, Kolyvan, Novosibirsk Oblast – 28 February 1981, Novosibirsk) was a Soviet mathematician, known for his research on free Lie algebras. He proved the Shirshov–Witt theorem, which states that any Lie subalgebra of a free Lie algebra is itself a free Lie algebra.[1][2]

  1. ^ Širšov, Anatoliĭ I. (1953), "Subalgebras of free Lie algebras", Mat. Sbornik, New Series, 33 (75): 441–452, MR 0059892
  2. ^ Shirshov, A. I. (1958), "On free Lie rings", Mat. Sbornik, New Series, 45 (87): 113–122, MR 0099356