A comparison of generalized opers and (G, P)-opers

Mengxue Yang ()
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Mengxue Yang: University of Illinois at Chicago

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 760-773

Abstract: Abstract The goal of this paper is to describe the relationship between generalized B-opers, generalized $$\mathrm {SO}(2n,{\mathbb {C}})$$ SO ( 2 n , C ) -opers and (G, P)-opers. In particular, we show that to each generalized B-oper there is a naturally associated (G, P)-oper, but there are some (G, P)-opers that do not arise as generalized B-opers or $$\mathrm {SO}(2n,{\mathbb {C}})$$ SO ( 2 n , C ) -opers.

Keywords: Oper; Parabolic subgroup; Differential operator; Connection; 14H60; 31A35; 33C80; 53C07 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00170-0

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