Let p be an odd prime and q = 2（p- 1）. Up to total degree t - s 〈 max（（5p^3 ＋ 6p^2 ＋6p ＋4）q- 10,p^4q}, the generators of H^s,t（U（L））, the cohomology of the universal enveloping algebra of a bigraded Lie a...Let p be an odd prime and q = 2（p- 1）. Up to total degree t - s 〈 max（（5p^3 ＋ 6p^2 ＋6p ＋4）q- 10,p^4q}, the generators of H^s,t（U（L））, the cohomology of the universal enveloping algebra of a bigraded Lie algebra L, are determined and their convergence is also verified. Furthermore our results reveal that this cohomology satisfies an analogous Poindare duality property. This largely generalizes an earlier classical results due to J. P. May.展开更多
In this paper,we determine some nontrivial secondary Adams differentials on the fourth line Ext^(4,*)_A(Z/p,Z/p)of the classical Adams spectral sequence.Specially,among these differentials,two of them are obtained via...In this paper,we determine some nontrivial secondary Adams differentials on the fourth line Ext^(4,*)_A(Z/p,Z/p)of the classical Adams spectral sequence.Specially,among these differentials,two of them are obtained via the matrix Massey products.展开更多
Let p be an odd prime. For the Stiefel manifold Wm＋k,k = SU（m ＋ k）/SU（m）, we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ （p - 1）2 ＋ 1.
基金supported by NSFC(Grant Nos.11671154 and 11761072)General Financial Grant from the China Postdoctoral Science Foundation(Grant No.2017M622721)
文摘Let p be an odd prime and q = 2（p- 1）. Up to total degree t - s 〈 max（（5p^3 ＋ 6p^2 ＋6p ＋4）q- 10,p^4q}, the generators of H^s,t（U（L））, the cohomology of the universal enveloping algebra of a bigraded Lie algebra L, are determined and their convergence is also verified. Furthermore our results reveal that this cohomology satisfies an analogous Poindare duality property. This largely generalizes an earlier classical results due to J. P. May.
基金Supported by NSFC(Grant Nos.11671154,11761072,12001474 and 11871284)Guangdong Natural Science Foundation(Grant No.2020A1515011008)“13th Five-Year”Science and Technology Project of Jilin Department of Education(Grant No.JJKH20200508KJ)。
文摘In this paper,we determine some nontrivial secondary Adams differentials on the fourth line Ext^(4,*)_A(Z/p,Z/p)of the classical Adams spectral sequence.Specially,among these differentials,two of them are obtained via the matrix Massey products.
基金Supported by the NSFC(Grant No.11261062)the Special Financial Grant form the China Postdoctoral Science Foundation(Grant No.2015T80909)Research Fund for the Doctoral Program of Higher Education of China(Grant No.20134407110001)
文摘Let p be an odd prime. For the Stiefel manifold Wm＋k,k = SU（m ＋ k）/SU（m）, we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ （p - 1）2 ＋ 1.
