In this paper the classification of maps from a simply connected space X to a flag manifold G/T is studied.As an application,the structure of the homotopy set for self-maps of flag manifolds is determined.
Let G be a linear algebraic group over C and P be a parabolic subgroup. We determine the signatures of the flag manifold G/P. As an application, we prove that the nonsingular hypersurfaces of degree 2 in CP^n are prim...Let G be a linear algebraic group over C and P be a parabolic subgroup. We determine the signatures of the flag manifold G/P. As an application, we prove that the nonsingular hypersurfaces of degree 2 in CP^n are prime if n satisfies certain conditions.展开更多
In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deser...In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deserve further study.展开更多
If G is a compact connected Lie group and T is a maximal torus, we give a wedge decomposition of ΣG/T by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of G/T.
本文研究了迷向表示分为12个不可约子空间的满旗流形SO(8)/T上不变爱因斯坦度量的问题.利用计算机计算满旗流形SO(8)/T爱因斯坦方程组的方法,得到了满旗流形SO(8)/T上有160个不变爱因斯坦度量(up to a scale)的结果,在等距情况下考虑这...本文研究了迷向表示分为12个不可约子空间的满旗流形SO(8)/T上不变爱因斯坦度量的问题.利用计算机计算满旗流形SO(8)/T爱因斯坦方程组的方法,得到了满旗流形SO(8)/T上有160个不变爱因斯坦度量(up to a scale)的结果,在等距情况下考虑这160个不变爱因斯坦度量,其中1个是凯莱爱因斯坦度量,4个是非凯莱爱因斯坦度量.推广了只对迷向表示分为小于等于6个不可约子空间的满旗流形上不变爱因斯坦度量的研究.展开更多
基金Supported by Chinese Post-Doctoral Scientific Foundation
文摘In this paper the classification of maps from a simply connected space X to a flag manifold G/T is studied.As an application,the structure of the homotopy set for self-maps of flag manifolds is determined.
文摘Let G be a linear algebraic group over C and P be a parabolic subgroup. We determine the signatures of the flag manifold G/P. As an application, we prove that the nonsingular hypersurfaces of degree 2 in CP^n are prime if n satisfies certain conditions.
基金National Natural Science Foundation of China(Grant No.12071034).
文摘In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deserve further study.
基金supported by KAKENHI,Grant-in-Aid for Scientific Research(C)(Grant No.18K03304)
文摘If G is a compact connected Lie group and T is a maximal torus, we give a wedge decomposition of ΣG/T by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of G/T.
基金Supported by the NNSF of China(11171235)Scientific Research Fund of Sichuan University of Science and Engineering Grant(2012PY17,2012KY06)Artificial Intelligence Key Laboratory of Sichuan Province(2014RYJ05)
基金Supported by Sichuan University of Science and Engineering grant(2012PY17)Sichuan Province University Key Laboratory of Bridge Non-Destruction Detecting and Engineering Computing grant(2014QZJ03)Partially Supported by Scientific Research Fund of Sichuan Province Education Department Grant(15SB0122)
文摘本文研究了迷向表示分为12个不可约子空间的满旗流形SO(8)/T上不变爱因斯坦度量的问题.利用计算机计算满旗流形SO(8)/T爱因斯坦方程组的方法,得到了满旗流形SO(8)/T上有160个不变爱因斯坦度量(up to a scale)的结果,在等距情况下考虑这160个不变爱因斯坦度量,其中1个是凯莱爱因斯坦度量,4个是非凯莱爱因斯坦度量.推广了只对迷向表示分为小于等于6个不可约子空间的满旗流形上不变爱因斯坦度量的研究.
基金Supported by the National Nature Science Foundation of China(11171245)RFDP(201001811100071)+1 种基金Scientific Research Fund of Sichuan Provincial Education Department(11ZA261,12ZB294)Sichuan University of Science and Engineering(2011KY07,2012PY17,2012KY06)
