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Bases for partially commutative Lie algebras

E. N. Poroshenko

Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We give an explicit description of linear bases for partially commutative Lie algebras. To do this, use is made of the Gröbner–Shirshov basis method.

Keywords: partially commutative Lie algebra, linear basis, Gröbner–Shirshov basis.

UDC: 512.554.33

Received: 10.12.2010
Revised: 11.04.2011

 English version: Algebra and Logic, 2011, 50:5, 405–417

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