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Steinberg, Benjamin

  1. A Groupoid Approach to Discrete Inverse Semigroup Algebras
    2009/03/20 by Steinberg, Benjamin · 9 citations
    #06E15 #16S36 #18B40 #20M18 #20M25 #22A22 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  2. Möbius Functions and Semigroup Representation Theory II: Character formulas and multiplicities
    2006/07/22 by Benjamin Steinberg, Steinberg, Benjamin · 4 citations
    Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Representation Theory (math.RT) #semigroups and automata theory
  3. Simplicity of inverse semigroup and étale groupoid algebras
    2020/06/24 by Steinberg, Benjamin, Szakács, Nóra · 6 citations
    #16S36 #16S99 #18B40 #20M18 #20M25 #22A22 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  4. On the irreducible representations of a finite semigroup
    2007/12/13 by Olexandr Ganyushkin, Volodymyr Mazorchuk, Ganyushkin, Olexandr +3 · 3 citations
    Mathematics · Computer Science · #Finite Group Theory Research #semigroups and automata theory #Algebraic structures and combinatorial models
  5. On the simplicity of Nekrashevych algebras of contracting self-similar groups
    2020/08/10 by Benjamin Steinberg, Steinberg, Benjamin, Nóra Szakács +1 · 4 citations
    Mathematics · #16S88 #20F65 #20M18 #20M25 #47L40 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #advanced mathematical theories
  6. Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry
    2015/08/22 by Margolis, Stuart, Saliola, Franco, Steinberg, Benjamin · 3 citations
    #05E10 #16E10 #16G10 #16S37 #20M25 #20M30 #52B05 #52C35 #52C40 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  7. A Theory of Transformation Monoids: Combinatorics and Representation\n Theory
    2010/04/17 by Benjamin Steinberg, Steinberg, Benjamin · 2 citations
    Computer Science · Mathematics · #semigroups and automata theory #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory
  8. The Cerny conjecture for one-cluster automata with prime length cycle
    2010/05/11 by Steinberg, Benjamin · 2 citations
    #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Formal Languages and Automata Theory (cs.FL)
  9. Simplicity, primitivity and semiprimitivity of etale groupoid algebras with applications to inverse semigroup algebras
    2014/08/26 by Steinberg, Benjamin · 2 citations
    #16S36 #16S99 #18F20 #20M18 #20M25 #22A22 #Category Theory (math.CT) #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  10. The global dimension of the full transformation monoid with an appendix\n by V. Mazorchuk and B. Steinberg
    2015/02/03 by Benjamin Steinberg, Steinberg, Benjamin · 2 citations
    Mathematics · #16E10 #16G99 #20M25 #20M30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
  11. Diagonal-preserving isomorphisms of étale groupoid algebras
    2017/11/06 by Steinberg, Benjamin · 2 citations
    #16S36 #16S99 #18F20 #20M18 #20M25 #22A22 #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  12. The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups
    2008/11/10 by Stuart Margolis, Benjamin Steinberg, Margolis, Stuart +1 · 2 citations
    Mathematics · #05E99 #16G10 #20M25 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
  13. Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras
    2018/02/05 by Steinberg, Benjamin · 2 citations
    #16S36 #16S99 #18F20 #20M18 #20M25 #22A22 #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  14. Combinatorial Topology and the Global Dimension of Algebras Arising in Combinatorics
    2012/05/05 by Margolis, Stuart, Saliola, Franco, Steinberg, Benjamin · 2 citations
    #05E10 #05E45 #16E10 #16G10 #52C35 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  15. Projective indecomposable modules and quivers for monoid algebras
    2017/06/16 by Margolis, Stuart, Steinberg, Benjamin · 2 citations
    #05E99 #16G10 #20M25 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  16. On the rational subset problem for groups
    2006/02/21 by Mark Kambites, Kambites, Mark, Pedro V. Silva +3 · 1 citation
    Computer Science · Mathematics · #20E06 #20F10 #20F36 #68A30 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Logic, programming, and type systems #semigroups and automata theory
  17. The submonoid and rational subset membership problems for graph groups
    2006/08/30 by Lohrey, Markus, Steinberg, Benjamin · 1 citation
    #20F10 #FOS: Mathematics #Group Theory (math.GR)
  18. A Profinite Approach to Stable Pairs
    2006/12/18 by Karsten Henckell, John Rhodes, Henckell, Karsten +3 · 1 citation
    Computer Science · Mathematics · #semigroups and automata theory #Algorithms and Data Compression #Geometric and Algebraic Topology
  19. Homology and K-theory for self-similar actions of groups and groupoids
    2024/09/04 by Alistair Miller, Benjamin Steinberg, Miller, Alistair +1 · 4 citations
    Mathematics · #Homotopy and Cohomology in Algebraic Topology
  20. Strong Morita Equivalence of Inverse Semigroups
    2009/01/18 by Steinberg, Benjamin · 1 citation
    #20M18 #22A22 #46L05 #Category Theory (math.CT) #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)
  21. The averaging trick and the Cerny conjecture
    2009/10/02 by Steinberg, Benjamin · 1 citation
    #FOS: Computer and information sciences #Formal Languages and Automata Theory (cs.FL)
  22. An elementary proof that subgroups of free groups are free
    2010/06/19 by Steinberg, Benjamin · 1 citation
    #FOS: Mathematics #Group Theory (math.GR)
  23. Rational Subsets and Submonoids of Wreath Products
    2013/02/11 by Markus Lohrey, Benjamin Steinberg, Lohrey, Markus +3 · 1 citation
    Computer Science · Mathematics · #20E22 #20F10 #68Q45 #Advanced Topology and Set Theory #FOS: Computer and information sciences #FOS: Mathematics #Formal Languages and Automata Theory (cs.FL) #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory
  24. Modules over etale groupoid algebras as sheaves
    2014/05/31 by Steinberg, Benjamin · 1 citation
    #16S10 #16S99 #18F20 #22A22 #Category Theory (math.CT) #FOS: Mathematics #Operator Algebras (math.OA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  25. On the Burnside-Brauer-Steinberg theorem
    2014/09/26 by Steinberg, Benjamin · 1 citation
    #16G99 #16T10 #20C15 #20M30 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  26. Join irreducible semigroups
    2017/02/13 by Lee, Edmond W. H., Rhodes, John, Steinberg, Benjamin · 1 citation
    #20M07 #FOS: Computer and information sciences #FOS: Mathematics #Formal Languages and Automata Theory (cs.FL) #Group Theory (math.GR) #Rings and Algebras (math.RA)
  27. Simplicity of C^*-algebras of contracting self-similar groups
    2025/01/20 by Eusebio Gardella, Gardella, Eusebio, Volodymyr Nekrashevych +5 · 4 citations
    Mathematics · Physics and Astronomy · #20F10 #20F65 #46L99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR) #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)
  28. Lamplighter groups, bireversible automata and rational series over finite rings
    2018/07/02 by Skipper, Rachel, Steinberg, Benjamin · 1 citation
    #FOS: Computer and information sciences #FOS: Mathematics #Formal Languages and Automata Theory (cs.FL) #Group Theory (math.GR)
  29. Twists, crossed products and inverse semigroup cohomology
    2021/01/24 by Steinberg, Benjamin · 1 citation
    #16S36 #16S99 #18F20 #20M18 #20M25 #22A22 #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  30. The quiver of an affine monoid
    2020/09/25 by Shahzamanian, M. H., Steinberg, Benjamin · 1 citation
    #20M25 #20M30 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  31. Factoring the Dedekind-Frobenius determinant of a semigroup
    2021/08/04 by Steinberg, Benjamin · 1 citation
    #16D50 #16L60 #16S36 #20M25 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  32. The modular representation theory of monoids
    2023/05/14 by Steinberg, Benjamin · 1 citation
    #16G99 #20M25 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  33. A note on projections in étale groupoid algebras and diagonal preserving homomorphisms
    2023/11/09 by Steinberg, Benjamin · 1 citation
    #16S88 #16S99 #22A22 #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  34. Topological finiteness properties of monoids. Part 2: special monoids, one-relator monoids, amalgamated free products, and HNN extensions
    2018/05/09 by Robert D. Gray, Gray, Robert D., Benjamin Steinberg +1 · 1 citation
    Computer Science · Mathematics · #20F10 #20F65 #20J05 #20M05 #20M50 #57M07 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #semigroups and automata theory
  35. On von Neumann regularity of ample groupoid algebras
    2024/01/06 by Benjamin Steinberg, Steinberg, Benjamin, Daniel W. van Wyk +1 · 1 citation
    Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology
  36. Topology and monoid representations II: left regular bands of groups and Hsiao's monoid of ordered G-partitions
    2024/04/04 by Steinberg, Benjamin · 2 citations
    #05E10 #05E45 #16G99 #16S37 #20M25 #20M30 #20M50 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  37. Topology and monoid representations I: Foundations
    2023/06/28 by Benjamin Steinberg, Steinberg, Benjamin · 1 citation
    Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Rings, Modules, and Algebras