Monomial bases for the primitive complex Shephard groups of rank three

DOI10.1080/00927872.2021.1976200zbMath1505.20035OpenAlexW3199256501MaRDI QIDQ5072779

Sungsoon Kim, Dong-il Lee

Publication date: 4 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1976200

zbMATH Keywords

Shephard groupGröbner-Shirshov basiscomplex reflection group

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16) Gröbner-Shirshov bases (16Z10)

Related Items (1)

A computational approach to Shephard groups

Cites Work

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• Cyclotomic Hecke algebras of \(G(r,p,n)\).
• Selected works of A. I. Shirshov. Translated by Murray Bremner and Mikhail V. Kotchetov. Edited by Leonid A. Bokut, Victor Latyshev, Ivan Shestakov and Efim Zelmanov
• The diamond lemma for ring theory
• Hecke algebras, Specht modules and Gröbner-Shirshov bases.
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Finite groups generated by unitary reflections
• GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS
• GRÖBNER—SHIRSHOV BASES AND NORMAL FORMS FOR THE COXETER GROUPS E₆ AND E₇
• Representations of Ariki–Koike algebras and Gröbner–Shirshov bases
• Regular Complex Polytopes
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections

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