Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 9 Issue 4
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- Pages.783-796
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- 1994
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
REGULARIZED ELSENSTELN SERIES ON METAPLECTIC GROUPS
Abstract
Let V be a vector space of dimension m over Q, and let (, ) be a non-degenerate bilinear form on V. Let r be the Witt index of V, and let $V = V' + V_0 + V"$ be the Witt decomposition, where $V_0$ is anisotropic and V', V" are paired non-singularly. Let H = O(m-r, r) be the isometry group of V, (, ), viewed as an algebraic group over Q. Let G = Sp(n) be the symplectic group of rank n defined over Q.ed over Q.
Keywords