量子包络代数U_q^+(B_2)的Grbner-Shirshov基和Anick分解

在本文中,我们用Grbner-Shirshov基讨论B_2型量子包络代数的正部分U_q^+(B^2)的Anick分解.

Anick Resolution and the Minimal Projective Resolution of U_(q)+(C_(3))

In this paper,from the Anick’s resolution and Grobner-Shirshov basis for quantized enveloping algebra of type C_(3),we compute the minimal projective resolution of the trivial module U_(q)+(C_(3))and as an application,we obtain that the global dimension of U_(q)+(C_(3))is 9.

Anick分解和量子群U_(q)(sl_(2))的一些同调性质

利用Grbner-Shirshov基和Anick方法,构造了量子包络代数Uq(sl2)的Anick分解。作为一个应用,还讨论了Uq(sl2)的一些同调性质和Poincaré级数。

Lyndon字串在结合代数中的一个应用

考虑了障碍集Lyndon字串组成的代数,利用Lyndon字串的组合特性,刻画了这类代数的整体维数和Gelfand-Kirillov维数等不变量.

Grobner-Shirshov Basis and Minimal Projective Resolution of Uq^+(B2)

In this paper,by using the Anick resolution and Grobner-Shirshov basis for quantized enveloping algebra of type B2,we compute the minimal projective resolution of the trivial module of Uq^+(B2),and as an application we compute the global dimension of Uq^+(B2).

The Hochschild Cohomology of the Chinese Monoid Algebra

In this work we find the groups of Hochschild cohomologies for the Chinese monoid algebra and derive its Hilbert and Poincaréseries.In order to obtain this result we construct the Anick resolution via the algebraic discrete Morse theory and Grobner-Shirshov basis for the Chinese monoid.

Grbner-Shirshov Basis and the Minimal Projective Resolution of U_q^+(G_2)

Abstract In this paper, by using the Anick＇s resolution and Grobner-Shirshov basis for quantized enveloping algebra of type G2, we compute the minimal projective resolution of the trivial module of Uq＋ （G2） and as an application we compute the global dimension of Uq＋（G2）.