Rank-generating functions and Poincaré polynomials of lattices in finite orthogonal space of even characteristic  

作　　者：Feng XU Yanbing ZHAO Yuanji HUO 

机构地区：[1]Office of Academic Affairs,Xuanhua Vocational College of Science and Technology,Zhangjiakou 075100,China [2]Department of Basic Courses,Zhangjiakou Vocational and Technical College,Zhangjiakou 075051,China [3]Department of Mathematics,Hebei North University,Zhangjiakou 075000,China

出　　处：《Frontiers of Mathematics in China》2024年第4期181-189,共9页中国高等学校学术文摘·数学（英文）

摘　　要：The geometry of classical groups over finite fields is widely used in many fields.In this paper,we study the rank-generating function,the characteristic polynomial,and the Poincarépolynomial of lattices generated by the orbits of subspaces under finite orthogonal groups of even characteristic.We also determine their expressions.

关 键 词：LATTICES orthogonal space of even characteristic rank-generating function characteristic polynomial Poincarépolynomial 

分 类 号：O17[理学—数学]