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...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.展开更多
文摘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.
