Gröbner-Shirshov basis and the minimal projective resolution of U +q (G 2)

Authors
Mao, Ling Ling Obul, Abdukadir
Citation
Mao, Ling Ling et Obul, Abdukadir, Gröbner-Shirshov basis and the minimal projective resolution of U +q (G 2), Acta mathematica Sinica. English series (Print) , 32(2), 2016, pp. 213-226
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
2
Year of publication
2016
Pages
213 - 226
Database
ACNP
SICI code
Abstract
In this paper, by using the Anick.s resolution and Gröbner.Shirshov basis for quantized enveloping algebra of type G 2, we compute the minimal projective resolution of the trivial module of U +q (G 2) and as an application we compute the global dimension of U +q (G 2).