Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac–Moody algebras

Carnovale G, Esposito F, Fiebig P (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Indagationes Mathematicae Elsevier

DOI: 10.1016/j.indag.2021.06.008

Abstract

We study equivariant localization of intersection cohomology complexes on Schubert varieties in Kashiwara's flag manifold. Using moment graph techniques we establish a link to the representation theory of Kac–Moody algebras and give a new proof of the Kazhdan–Lusztig conjecture for blocks containing an antidominant element.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

Involved external institutions

University of Padua / Universita degli Studi di Padova IT Italy (IT)

How to cite

APA:

Carnovale, G., Esposito, F., & Fiebig, P. (2021). Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac–Moody algebras. Indagationes Mathematicae. https://dx.doi.org/10.1016/j.indag.2021.06.008

MLA:

Carnovale, Giovanna, Francesco Esposito, and Peter Fiebig. "Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac–Moody algebras." Indagationes Mathematicae (2021).

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