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- W2023554282 abstract "Let G be a connected simply connected almost $$ mathbb{Q} $$ -simple algebraic group with $$ G ,{text{: = }}{mathbf{G}}{text{(}}mathbb{R}{text{)}} $$ non-compact and $$ Gamma , subset ,{mathbf{G}}_{mathbb{Q}} $$ a cocompact congruence subgroup. For any homogeneous manifold $$ x_{0} H, subset ,Gamma backslash G $$ of finite volume, and a $$ a, in ,{mathbf{G}}_{mathbb{Q}} $$ , we show that the Hecke orbit T a (x 0 H) is equidistributed on $$ Gamma backslash G $$ as $$ {text{deg}}(a), to ,infty $$ , provided H is a non-compact commutative reductive subgroup of G. As a corollary, we generalize the equidistribution result of Hecke points ([COU], [EO1]) to homogeneous spaces G/H. As a concrete application, we describe the equidistribution result in the rational matrices with a given characteristic polynomial." @default.
- W2023554282 created "2016-06-24" @default.
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- W2023554282 date "2006-11-17" @default.
- W2023554282 modified "2023-10-12" @default.
- W2023554282 title "Equidistribution of Rational Matrices in their Conjugacy Classes" @default.
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- W2023554282 doi "https://doi.org/10.1007/s00039-006-0585-4" @default.
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