Knop F, Schalke B (2017)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2017
Book Volume: 78
Pages Range: 187-216
DOI: 10.1090/mosc/270
Let X be a spherical variety for a connected reductive group G. Work of Gaitsgory-Nadler strongly suggests that the Langlands dual group Gv
of G has a subgroup whose Weyl group is the little Weyl group of X. Sakellaridis-Venkatesh defined a refined dual group Gv
X and verified in many cases that there exists an isogeny φ from Gv
X to Gv
. 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.
APA:
Knop, F., & Schalke, B. (2017). The dual group of a spherical variety. Transactions of the Moscow Mathematical Society, 78, 187-216. https://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.
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