Flags and tangles

We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori–Hecke alg...

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Chi tiết về thư mục
Tác giả chính: Haiden, F
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: European Mathematical Society 2021
Miêu tả
Tóm tắt:We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori–Hecke algebras of type An as endomorphism algebras of certain objects.