Last Updated
：2025/11/28
Hopf algebra
Noun
Japanese Meaning
ホップ代数とは、単位付き結合法則的な代数と余単位付き余結合法則的なコアルゲブラの両構造を持ち、特定の性質を満たす反自動写像（アンチオートモルフィズム）を備えた数学的な構造である。
（ plural ）
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(mathematics) A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property.
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Hopf algebra
In modern quantum group theory, the Hopf algebra provides the algebraic framework for describing symmetries that possess both multiplication and comultiplication structures.
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In modern quantum group theory, the Hopf algebra provides the algebraic framework for describing symmetries that possess both multiplication and comultiplication structures.
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