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Representations of
the two-fold central extension of SL2(ℚ2)
Hung Yean Loke and Gordan Savin |
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Vol. 247 (2010), No. 2, 435–454
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Abstract |
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We define a notion of pseudospherical type for smooth representations of the nontrivial two fold central extension of SL2(ℚ2). We describe completely the irreducible representations that contain the pseudospherical type. We relate our results to Kohnen’s plus and minus spaces of classical modular forms of half integral weight. |
Keywords
modular forms, Shimura correspondence, Hecke algebra,
pseudospherical representations
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Mathematical Subject Classification 2000
Primary: 11F70, 22E50, 22E55
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Milestones
Received: 20 July 2009
Accepted: 25 September 2009
Published: 11 August 2010
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Authors |
| Hung Yean Loke | |
| National University of
Singapore 10, Lower Kent Ridge Road Singapore 119076 Singapore |
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| http://www.math.nus.edu.sg/~matlhy/ | |
| Gordan Savin | |
| Department of Mathematics University of Utah Salt Lake City, UT 84112 United States |
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| http://www.math.utah.edu/~savin/ | |
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