Abstract
Let V be an n-dimensional real vector space and V* be the dual space of V. Denote by B a bilinear form on (V × V*) × (V × V*) given by B(z1,z2) = (υ1,υ *2 ) = υ *2 =(υ1) for z1 = (υ1,υ *1 ) and z2 = (υ2,υ *2 ). Let A(V) be the Lie group with underlying manifold V × V* × T whose multiplication is given by
where T = {z ∈ ℂ||z| = 1} and e(z) = e2πiz.
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© 2012 Science Press Beijing and Springer-Verlag Berlin Heidelberg
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Wang, X., Pei, D. (2012). Weil Representation and Shimura Lifting. In: Modular Forms with Integral and Half-Integral Weights. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29302-3_8
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DOI: https://doi.org/10.1007/978-3-642-29302-3_8
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