The theory of endoscopy is an intriguing part of the Langlands program, as it provides a way to attack the functoriality principle of Langlands for certain pairs of reductive groups $(G,H)$, in which $H$ is what is known as an endoscopic group for $G$. The starting point for this method is a close study of the relationship of orbital integrals on $G$ with stable orbital integrals on $H$. This volume investigates unipotent orbital integrals of spherical functions on $p$-adic symplectic groups. The results are then put into a ...
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The theory of endoscopy is an intriguing part of the Langlands program, as it provides a way to attack the functoriality principle of Langlands for certain pairs of reductive groups $(G,H)$, in which $H$ is what is known as an endoscopic group for $G$. The starting point for this method is a close study of the relationship of orbital integrals on $G$ with stable orbital integrals on $H$. This volume investigates unipotent orbital integrals of spherical functions on $p$-adic symplectic groups. The results are then put into a conjectural framework, that predicts (for split classical groups) which linear combinations of unipotent orbital integrals are stable distributions.
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Add this copy of On Stability and Endoscopic Transfer of Unipotent to cart. £79.84, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1998 by Amer Mathematical Society.