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Mathematics > Representation Theory

Title: Note on factorization categories

Authors: Sergey Lysenko
(Submitted on 17 Apr 2024 (v1), last revised 23 Apr 2024 (this version, v2))
Abstract: We fill in what we consider as a gap in the construction of the factorizable Satake functor in the constructible setting in arXiv:1608.00284 and arXiv:1708.07205. To do so, we summarize four different constructions of factorization sheaves of categories on the Ran space and establish some relations between them.
Comments: 60 pages
Subjects: Representation Theory (math.RT)
MSC classes: 11R39, 14H60
Cite as: arXiv:2404.11561 [math.RT]
  (or arXiv:2404.11561v2 [math.RT] for this version)

Submission history

From: Sergey Lysenko [view email]
[v1] Wed, 17 Apr 2024 17:03:14 GMT (42kb)
[v2] Tue, 23 Apr 2024 08:54:25 GMT (46kb)
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