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Can I read The splittest Kac superalgebra K10 on EtoBox?
The splittest Kac superalgebra K10 by Kevin McCrimmon is a Mathematics article available to read on EtoBox.
What is The splittest Kac superalgebra K10 about?
We present an isotope of the usual version of the Kac 10-dimensional Jordan superalgebra K 10 over a general ring of scalars Φ (isomorphic to the original version when i, 1 √ 2 ∈ Φ, but not in characteristic 2), which we take as the "correct" split model for the simple superalgebra in all characteristics. This J = A ⊕ M has unit the sum of three reduced orthogonal idempotents. We exhibit a "quaternionic" model J ⊆ (H ⊗ H Φf ) ⊕ H of the bimodule structure for this model and the original one, as well as an "exterior" model J ∼ = Λ 2 (M) ⊕ M for both the bimodule structure and the odd product. We give a reference table for all quadratic and triple products, and use this to explicitly describe all inner superderivations. In a subsequent article [K. McCrimmon, The Grassmann envelope of the Kac superalgebra K 10 , J. Algebra, in press. [5]] we will use this table to investigate the structure of the Grassmann envelope.
Who reads The splittest Kac superalgebra K10?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Kevin McCrimmon
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)