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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلف الرئيسي: Haiden, F
التنسيق: Journal article
اللغة:English
منشور في: European Mathematical Society 2021
الوصف
الملخص: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.