منابع مشابه
Duality for nonlinear simply laced groups
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us to extend part of the formalism of the Local Langlands Conjecture to such groups.
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One aspect of the Langlands program for linear groups is lifting of characters, which relates virtual representations on a group G with those on an endoscopic group for G. The goal of this paper is to extend this theory to nonlinear two-fold covers of real groups in the simply laced case. Suppose G̃ is a two-fold cover of a real reductive group G. The main result is that there is an operation, d...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2012
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x11007354