Bimodule structure of central simple algebras
| Autor: | David J. Saltman, Eliyahu Matzri, Uzi Vishne, Louis Rowen |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
16K20
Pure mathematics Algebra and Number Theory 010102 general mathematics Closure (topology) Mathematics - Rings and Algebras 01 natural sciences Linear subspace Semiring Separable space Rings and Algebras (math.RA) Simple (abstract algebra) 0103 physical sciences FOS: Mathematics Bimodule 010307 mathematical physics Isomorphism 0101 mathematics Central simple algebra Mathematics |
| Zdroj: | Journal of Algebra. 471:454-479 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2016.07.039 |
| Popis: | For a maximal separable subfield K of a central simple algebra A, we provide a semiring isomorphism between K–K-sub-bimodules of A and H–H-sub-bisets of G = Gal ( L / F ) , where F = Cent ( A ) , L is the Galois closure of K / F , and H = Gal ( L / K ) . This leads to a combinatorial interpretation of the growth of dim K ( ( K a K ) i ) , for fixed a ∈ A , especially in terms of Kummer subspaces. |
| Databáze: | OpenAIRE |
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