SLn, Orthogonality Relations and Transfer
2007 ◽
Vol 59
(3)
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pp. 449-464
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Keyword(s):
AbstractLet π be a square integrable representation of G′ = SLn(D), with D a central division algebra of finite dimension over a local field F of non-zero characteristic. We prove that, on the elliptic set, the character of π equals the complex conjugate of the orbital integral of one of the pseudocoefficients of π. We prove also the orthogonality relations for characters of square integrable representations of G′. We prove the stable transfer of orbital integrals between SLn(F) and its inner forms.
2014 ◽
Vol 10
(04)
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pp. 963-1013
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2005 ◽
Vol 2005
(4)
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pp. 571-577
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1969 ◽
Vol 21
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pp. 477-478
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1986 ◽
Vol 29
(4)
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pp. 432-437
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2018 ◽
Vol 17
(11)
◽
pp. 1850203
1979 ◽
Vol 20
(2)
◽
pp. 141-145
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Keyword(s):