Topology and monoid representations. I: Foundations

DOI10.1016/j.jpaa.2024.107848MaRDI QIDQ6671767

Benjamin Steinberg

Publication date: 27 January 2025

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

classifying spacesquiverstopologygroup completionrepresentations of monoidshomological epimorphisms

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Semigroup rings, multiplicative semigroups of rings (20M25) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30) Representation theory of associative rings and algebras (16G99) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• The global dimension of the full transformation monoid (with an appendix by V. Mazorchuk and B. Steinberg)
• Representation theory of finite monoids
• The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups.
• Combinatorial topology and the global dimension of algebras arising in combinatorics
• The kernel of monoid morphisms
• An introduction to homological algebra
• On the quiver of the descent algebra.
• Perpendicular categories with applications to representations and sheaves
• On the characters of the affine group over a finite field
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Random walks and hyperplane arrangements
• Semigroups, rings, and Markov chains
• Independence algebras
• Cohomological results in monoid and category theory via classifying spaces
• The coset poset and probabilistic zeta function of a finite group
• A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
• Factoring the Dedekind-Frobenius determinant of a semigroup
• A survey of Schreier-type extensions of monoids
• Adjoint functors and derived functors with an application to the cohomology of semigroups
• On the cohomology of finite semigroups
• Classifying spaces and spectral sequences
• Homological dimension in semigroup algebras
• The affine group. I: Bruhat decomposition
• On the structure of semigroups
• Topological finiteness properties of monoids. I: Foundations
• Quivers of monoids with basic algebras
• Random Walks, Arrangements, Cell Complexes, Greedoids, and Self-Organizing Libraries
• Complex Representations of Matrix Semigroups
• Semigroup Algebras of the Full Matrix Semigroup Over a Finite Field
• Higher algebraic K-theory: I
• A CLASS OF RIGHT PP MONOIDS
• CATEGORIES AS ALGEBRA, II
• Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry
• On finite 0-simple semigroups and graph theory
• An Improved Upper Bound for Global Dimension of Semigroup Algebras
• Matrix Representations of Completely Simple Semigroups
• Simplicial homotopy theory
• Algebraic \(K\)-theory.
• Monoidal categories, representation gap and cryptography

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