Gröbner-Shirshov bases of some Weyl groups

DOI10.1216/RMJ-2015-45-4-1165zbMath1331.13019OpenAlexW1893436568MaRDI QIDQ888111

Eylem Güzel Karpuz, Fırat Ateş, Ahmet Sinan Cevik

Publication date: 4 November 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1446472428

zbMATH Keywords

presentationWeyl groupGröbner-Shirshov basis

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (7)

A Gröbner-Shirshov basis over a special type of braid monoids ⋮ Gröbner-Shirshov basis and normal forms for the infinite Coxeter group of type \(\widetilde{C}_n\) ⋮ Word problem for special braid groups ⋮ Gröbner–Shirshov bases and their calculation ⋮ Gröbner–Shirshov bases for congruence classes of complex reflection groups ⋮ Flows on classes of regular semigroups and Cauchy categories ⋮ A solution of the word problem for braid groups via the complex reflection group G12

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