arXiv Open Access 2020

Knizhnik--Zamolodchikov functor for degenerate double affine Hecke algebras : algebraic theory

Wille Liu

Lihat Sumber

Abstrak

In this article, we define an algebraic version of the Knizhnik--Zamolodchikov functor for the degenerate double affine Hecke algebras (a.k.a. trigonometric Cherednik algebras). We compare it with the KZ monodromy functor constructed by Varagnolo--Vasserot. We prove the double centraliser property for our functor and give a characterisation of its kernel. We establish these results for a family of algebras, called quiver double Hecke algebras, which includes the degenerate double affine Hecke algebras as special cases.

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Penulis (1)

Wille Liu

Format Sitasi

APA MLA BibTeX

Liu, W. (2020). Knizhnik--Zamolodchikov functor for degenerate double affine Hecke algebras : algebraic theory. https://arxiv.org/abs/2011.10779

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓