Shiyin Zhao, Wang Yin, Xiaojuan Chen
Abstract
Let S 3 be the symmetric group on three elements. Let k be a field and M 3 ( k ) be the full matrix algebra of 3 × 3 -matrices over k. In this paper, the k S 3 -module algebra structures on M 3 ( k ) are described, and classified up to isomorphism.
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Let S 3 be the symmetric group on three elements. Let k be a field and M 3 ( k ) be the full matrix algebra of 3 × 3 -matrices over k. In this paper, the k S 3 -module algebra structures on M 3 ( k ) are described, and classified up to isomorphism.
Key concepts: Isomorphism (crystallography), Mathematics, Algebra over a field, Pure mathematics, Matrix (chemical analysis), Combinatorics, Crystallography, Crystal structure