Listar por autor "Baranov, Alexander"

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Jordan-lie inner ideals of finite dimensional associative algebras

Baranov, Alexander (2017-06-15)

Any associative ring A becomes a Lie ring A(−) under [x, y] = xy−yx. Let A(1) = [A, A] be the derived subalgebra of A(−) and let Z be its center. In the early 1950s Herstein initiated a study of Lie ideals of A in case ...
Simple locally finite Lie algebras

Baranov, Alexander (2013-12-12)

A Lie algebra is called locally finite if all its finitely generated subalgebras are finite dimensional. We will discuss some approaches towards classification of simple locally finite Lie algebras and give various ...