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    • Seminars
      • Algebra
        • Associative Rings
          • Ariki-Koike Algebras
          • Cluster Algebras
          • Group Rings
          • Hecke Algebras
          • KLR Algebras
          • Schur Algebras
        • Commutative Algebra
        • Fusion Systems
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          • Abelian Groups
          • Algebraic Groups
          • Combinatorial Group Theory
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      MathVideos.org
      • Seminars
        • Algebra
          • Associative Rings
            • Ariki-Koike Algebras
            • Cluster Algebras
            • Group Rings
            • Hecke Algebras
            • KLR Algebras
            • Schur Algebras
          • Commutative Algebra
          • Fusion Systems
          • Group Theory
            • Abelian Groups
            • Algebraic Groups
            • Combinatorial Group Theory
            • Computational Group Theory
            • Finite Groups
            • Geometric Group Theory
            • Infinite Groups
            • Lie Groups
            • Permutation Groups
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            • Representations of Algebraic Groups
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            • Jordan and Axial Algebras
            • Lie Algebras
            • Other Non-Associative Rings
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            • Representations of Finite Groups
            • Representations of Lie Algebras
            • Representations of Symmetric Groups
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      Michel Racine: Lie Algebras afforded by Jordan algebras

      3rd March, 2022
      Watch LaterRemove Cinema Mode

      Given a (quadratic) Jordan algebra J over a ring k, one obtains three Lie algebras, the derivation algebra, the structure algebra, and the Tits algebra. We are particularly interested in the case where J is an Albert algebra.

      This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.

      Albert algebra Algebra Jordan algebras Lie algebras Non-associative rings

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