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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Quantum subgroups of simple twisted quantum groups at roots of one
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by Gastón Andrés García and Javier A. Gutiérrez PDF
Trans. Amer. Math. Soc. 370 (2018), 3609-3637 Request permission


Let $G$ be a connected, simply connected simple complex algebraic group and let $\epsilon$ be a primitive $\ell$th root of unity with $\ell$ odd and coprime with $3$ if $G$ is of type $G_{2}$. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra $\mathcal {O}_{\epsilon }^{\varphi }(G)$ introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.
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Additional Information
  • Gastón Andrés García
  • Affiliation: Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de La Plata. CONICET. Casilla de Correo 172, 1900 La Plata, Argentina
  • MR Author ID: 767324
  • Email:
  • Javier A. Gutiérrez
  • Affiliation: FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba. Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba. Argentina
  • Address at time of publication: Departamento de Matemáticas, Universidad Sergio Arboleda, Calle 74, Nro 14 - 14, Bloque B - Piso 3, Bogotá, Colombia
  • Email:
  • Received by editor(s): August 16, 2016
  • Published electronically: December 1, 2017
  • Additional Notes: The first author was partially supported by ANPCyT-Foncyt, CONICET, Secyt (UNLP-UNC)
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 370 (2018), 3609-3637
  • MSC (2010): Primary 81R50, 17B37, 20G42, 16W30, 16W35
  • DOI:
  • MathSciNet review: 3766860