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Partial differential equation approach to F-4 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2011, 卷号: 6, 期号: 4, 页码: 759-774
作者:  Xu, Xiaoping
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Lie algebra  F-4-module  singular vector  harmonic polynomial  partial differential equation  
Flag partial differential equations and representations of lie algebras 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2008, 卷号: 102, 期号: 2-3, 页码: 249-280
作者:  Xu, Xiaoping
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
flag  partial differential equation  polynomial solution  laplace equation  wave equation  tree diagram  generalized Tricomi operator  Lie algebra  representation  
Matrix-differential-operator approach to the Maxwell equations and the Dirac equation 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2008, 卷号: 102, 期号: 2-3, 页码: 237-247
作者:  Xu, Xiaoping
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
matrix-differential-operators  Fourier expansion  Maxwell equations  free Dirac equation  initial-value problem  
Tree diagram Lie algebras of differential operators and evolution partial differential equations 期刊论文
JOURNAL OF LIE THEORY, 2006, 卷号: 16, 期号: 4, 页码: 691-718
作者:  Xu, Xiaoping
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
tree diagram  Lie algebra of differential operators  abelian ideal  evolution partial differential equation  Campbell-Hausdorff formula