The Virtual Poincaré Polynomials of Homogeneous Spaces
Tóm tắt
We factor the virtual Poincaré polynomial of every homogeneous space G/H, where G is a complex connected linear algebraic group and H is an algebraic subgroup, as t2u (t2−1)r QG/H(t2) for a polynomial QG/H with nonnegative integer coefficients. Moreover, we show that QG/H(t2) divides the virtual Poincaré polynomial of every regular embedding of G/H, if H is connected.
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