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In mathematics, a bracket algebra is an algebraic system that connects the notion of a supersymmetry algebra with a symbolic representation of projective invariants. Given that ''L'' is a proper signed alphabet and Super() is the supersymmetric algebra, the bracket algebra Bracket() of dimension ''n'' over the field ''K'' is the quotient of the algebra Brace obtained by imposing the congruence relations below, where ''w'', ''w, ..., ''w''" are any monomials in Super(): # = 0 if length(''w'') ≠ ''n'' # ... = 0 whenever any positive letter ''a'' of ''L'' occurs more than ''n'' times in the monomial .... # Let ... be a monomial in Brace in which some positive letter ''a'' occurs more than ''n'' times, and let ''b'', ''c'', ''d'', ''e'', ..., ''f'', ''g'' be any letters in ''L''. ==See also== * Bracket ring 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bracket algebra」の詳細全文を読む スポンサード リンク
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