Journal of Siberian Federal University. Mathematics & Physics / Grobner-Shirshov Bases and PBW Theorems

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (4)
Authors
Bokut, Leonid A.; Chen, Yuqun
Contact information
Bokut, Leonid A.:Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China;; Chen, Yuqun:School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China;
Keywords
Grebner-Shirshov basis; Composition-Diamond lemma; PBW theorem; normal form, group; extension; semigroup
Abstract

We review some applications of Gr¨obner-Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebras

Pages
417–427
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/10064