Coalgebra
... algebra multiplication (called the coassociativity of the comultiplication); the second diagram is the dual of ... Accordingly, the map Δ is called the comultiplication (or coproduct) of C and ε is ... vector space C becomes a coalgebra with comultiplication Δ and counit ε (checking this is ... A^*, so we have defined a comultiplication on A * . The counit of A * is ... with coalgebras, a certain notation for the comultiplication simplifies the formulas considerably and has ...
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Compact quantum group
... math> ($\backslash Delta$ is called the comultiplication); There exists a linear antimultiplicative map comultiplication on $C$ is coassociative. In ... end{matrix} \right), so that the comultiplication is determined by $\backslash Delta(\backslash alpha)\; =\; \backslash alpha\; ...\; end\{matrix\}\; \backslash right),$ so that the comultiplication is determined by $\backslash Delta(\backslash alpha)\; =\; \backslash alpha\; ...$
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Quantum group
... math> ($\backslash Delta$ is called the comultiplication); There exists a linear antimultiplicative map comultiplication on $C$ is coassociative. In ... end{matrix} \right), so that the comultiplication is determined by $\backslash Delta(\backslash alpha)\; =\; \backslash alpha\; ...\; end\{matrix\}\; \backslash right),$ so that the comultiplication is determined by $\backslash Delta(\backslash alpha)\; =\; \backslash alpha\; ...$
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Comodule
... rho = id, where Δ is the comultiplication for C, and ε is the counit ... C_I-comodule, as follows: Let the comultiplication on $C\_I$ be given by ...
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Bialgebra
... a coalgebra over K, such that the comultiplication and the counit are both unital algebra ... B → B ⊗ B is the comultiplication and ε : B → K is the ...
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Vladimir ドリンフェルト   (translated from Japanese)
... p Shin symmetrical space of Drinfeld Drinfeld Comultiplication Drinfeld associator Beilinson-Drinfeld theory Drinfeld polynomial ...
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Steenrod algebra
... in particular there is a diagonal or comultiplication map $\backslash psi\; \backslash colon\; A\; \backslash to\; A\; ...$
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Monad (category theory)
... a set of axioms for counit and comultiplication that come from reversing the arrows everywhere ...
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Primitive element
... particular kind of element on which the comultiplication takes a certain simple form. This is ...
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Hopf algebra
... following diagram commutes Here Δ is the comultiplication of the bialgebra, ∇ its multiplication, η ...
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