Left regular bands of groups and the Mantaci–Reutenauer algebra

J Bastidas, S Brauner, F Saliola - Journal of Algebra, 2024 - Elsevier
We develop the idempotent theory for algebras over a class of semigroups called left regular
bands of groups (LRBGs), which simultaneously generalize group algebras of finite groups …

Left Regular Bands of Groups and the Mantaci--Reutenauer algebra

J Bastidas, S Brauner, F Saliola - arXiv e-prints, 2023 - ui.adsabs.harvard.edu
We develop the idempotent theory for algebras over a class of semigroups called left regular
bands of groups (LRBGs), which simultaneously generalize group algebras of finite groups …

Left Regular Bands of Groups and the Mantaci--Reutenauer algebra

J Bastidas, S Brauner, F Saliola - arXiv preprint arXiv:2306.14985, 2023 - arxiv.org
We develop the idempotent theory for algebras over a class of semigroups called left regular
bands of groups (LRBGs), which simultaneously generalize group algebras of finite groups …