The dual group of a spherical variety

Knop F, Schalke B (2017)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2017

Journal

Transactions of the Moscow Mathematical Society American Mathematical Society

Book Volume: 78

Pages Range: 187-216

DOI: 10.1090/mosc/270

Abstract

Let X be a spherical variety for a connected reductive group G. Work of Gaitsgory-Nadler strongly suggests that the Langlands dual group G^v of G has a subgroup whose Weyl group is the little Weyl group of X. Sakellaridis-Venkatesh defined a refined dual group G^v_X and verified in many cases that there exists an isogeny φ from G^v_X to G^v. In this paper, we establish the existence of φ in full generality. Our approach is purely combinatorial and works (despite the title) for arbitrary G-varieties.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie) Barbara Schalke Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F., & Schalke, B. (2017). The dual group of a spherical variety. Transactions of the Moscow Mathematical Society, 78, 187-216. https://dx.doi.org/10.1090/mosc/270

MLA:

Knop, Friedrich, and Barbara Schalke. "The dual group of a spherical variety." Transactions of the Moscow Mathematical Society 78 (2017): 187-216.

BibTeX: Download