arXiv Open Access 2024

DAHAs of Type $C^\vee C_n$ and Character Varieties

Oleg Chalykh Bradley Ryan

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Abstrak

This paper studies the spherical subalgebra of the double affine Hecke algebra of type $C^\vee C_n$ and relates it, at the classical level $q = 1$, to a certain character variety of the four-punctured Riemann sphere. This establishes a conjecture from math.QA/0504089. As a by-product, we find a completed phase space for the trigonometric van Diejen system, explicitly integrate its dynamics and explain how it can be obtained via Hamiltonian reduction.

Topik & Kata Kunci

math.RT

Penulis (2)

Oleg Chalykh

Bradley Ryan

Format Sitasi

APA MLA BibTeX

Chalykh, O., Ryan, B. (2024). DAHAs of Type $C^\vee C_n$ and Character Varieties. https://arxiv.org/abs/2410.23456

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓