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 applicatio...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.展开更多
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...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）.展开更多
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 w...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).展开更多
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 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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11971384)the Natural Science Foundation of Shaanxi Province(Grant No.2021JQ-894)。
文摘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.
基金Supported by National Natural Science Puondation of China(Grant No.11361056)
文摘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）.
文摘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).
文摘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.
