Lattice Points and Lie Groups. II
Copyright policy )Lattice Points and Lie Groups. II
If a compact, simply connected, semisimple Lie group is considered as a Riemannian manifold with metric arising from the negative of the Killing form it is shown that its volume is \[ ( 4 π ) dim G / 2 Γ ( dim G / 2 + 1 ) ( 1 / | w | ) ∫ | Λ | ⩽ 1 f 2 ( Λ ) d Λ . {(4\pi )^{\dim G/2}}\Gamma (\dim G/2 + 1)(1/|w|)\int _{|\Lambda | \leqslant 1} {{f^{{2_{(\Lambda )d\Lambda }}}}.} \]
General properties and structure of real Lie groups, Representations of Lie and linear algebraic groups over real fields: analytic methods
General properties and structure of real Lie groups, Representations of Lie and linear algebraic groups over real fields: analytic methods
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