Classification of the finite-dimensional algebras generated by two tightly coupled idempotents.

DOI10.1016/j.laa.2012.07.020zbMath1285.16020OpenAlexW2056482416MaRDI QIDQ2637169

Albrecht Böttcher, Ilya M. Spitkovskij

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.07.020

zbMATH Keywords

projectionsfinite-dimensional algebrasword problemtightly coupled idempotents

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) General theory of (C^*)-algebras (46L05) Operator algebras with symbol structure (47L15)

Related Items (4)

Drazin and group invertibility in algebras spanned by two idempotents ⋮ Drazin Invertibility in a Certain Finite-Dimensional Algebra Generated by Two Idempotents ⋮ Group inversion in certain finite-dimensional algebras generated by two idempotents ⋮ On relationships between two linear subspaces and two orthogonal projectors

Cites Work

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• Algebras generated by idempotents and the symbol calculus for singular integral operators
• Zero sums of idempotents in Banach algebras
• Extension theorems for invertibility symbols in Banach algebras
• Extension theorems for Fredholm and invertibility symbols
• The Drazin inverses of products and differences of orthogonal projections
• The group inverse of the combinations of two idempotent matrices
• On polynomials in two projections

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