... A of A. The linear form wG := (1, 0) k в B = A , which will be referred to integral of G. We prove the following theorem ... Let G = Spec A be a semisimple k -group and let wG A be the invariant integral of G. Let F be a dual functor of G-modules. ...
... Hint for part b: Write f () as an iterated integral over H and G/H using Weil's formula.) 3. ... 1/pn )Zp , otherwise. - p n+1 |x|p =1/p n (Hint: Write the integral as a difference p Zp .) b) For x Qp , set f (x) = |x|p Zp ...
... TO K ae D 2 , z 2 D 1 n D 2 , D 1 ae D. zAPI[ITE f(z) KAK INTEGRAL PO @(D 1 n D 2 ) S POMO]X@ INTEGRALXNOJ FORMULY kO[I. tOGDA INTEGRAL PO @D 1 DAST f 1 (z), A INTEGRAL PO @D 2 DAST f 2 (z).) (w) pOKAVITE, “TO FUNKCII f 1 ; f 2 OPREDELQ@TSQ PO f ODNOZNA ...
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