The center of twisted affine quantum algebras at odd roots of 1

TL;DR

This paper investigates the structure of the center of twisted affine quantum algebras at odd roots of unity, providing a detailed description for various types and orders.

Contribution

It explicitly describes the center of twisted affine quantum algebras at odd roots of unity, extending understanding of their algebraic structure.

Findings

Center is explicitly characterized for different types and orders.

Results apply to twisted affine quantum algebras at roots of unity.

Provides foundational knowledge for further algebraic and representation theory studies.

Abstract

This paper focuses on twisted affine quantum algebras: an integer form is chosen, and the center of its specialization at odd roots of 1 (of order bigger than 3 in case D_4^{(3)}, bigger than 1 otherwise) is described.