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Generating graded central simple algebras

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Publication:1375100
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DOI10.1016/S0024-3795(97)00050-5zbMath0893.16009MaRDI QIDQ1375100

Lieven Le Bruyn

Publication date: 2 February 1998

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


zbMATH Keywords

automorphismsmatrix ringsfinite-dimensional simple algebrasgenerated by two elementsalgebras generated by \(n\) elements over their centresopen subvarieties


Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Graded rings and modules (associative rings and algebras) (16W50) Finite-dimensional division rings (16K20)


Related Items (1)

On the center of 3-dimensional and 4-dimensional Sklyanin algebras



Cites Work

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  • On automorphisms of matrix invariants induced from the trace ring
  • Nilpotent representations
  • Central singularities of quantum spaces
  • Jacobson-rings and Hilbert algebras with polynomial identities
  • Semisimple Representations of Quivers
  • Proj of generic matrices and trace rings
  • On Automorphisms of Matrix Invariants


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