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VOL. 71 | 2016 Moment graphs in representation theory and geometry
Peter Fiebig

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

Abstract

This paper reviews the moment graph technique that allows to translate certain representation theoretic problems into geometric ones. For simplicity we restrict ourselves to the case of semisimple complex Lie algebras. In particular, we show how the original Kazhdan–Lusztig conjecture on the characters of irreducible highest weight representations can be translated into a multiplicity problem for parity sheaves on the (Langlands dual) flag variety.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 06810373
MathSciNet: MR3644820

Digital Object Identifier: 10.2969/aspm/07110075

Rights: Copyright © 2016 Mathematical Society of Japan

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