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Hopf algebra, only defining coproduct and comultiplication for $t$ not $t^{-1}$

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#abstract-algebra #hopf-algebras
1.1k
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Is the dual of a module naturally a comodule?

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#category-theory #modules #hopf-algebras #coalgebras #comodules
631
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If $H$ is a Hopf algebra, do we have $H^{cop}$ is a Hopf algebra?

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#abstract-algebra #hopf-algebras #quantum-groups #coalgebras #nichols-algebras
71
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How can I work out the hopf-algebra action corresponding to a group action on an affine scheme?

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#algebraic-geometry #schemes #hopf-algebras #affine-schemes #algebraic-stacks
268
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Question about the Sweedler notation and the proof of a property of the antipode

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#abstract-algebra #hopf-algebras #coalgebras
2.7k
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Good Introduction to Hopf Algebras with Examples

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#reference-request #hopf-algebras #coalgebras #algebraic-stacks
173
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Convolution product on the linear dual of the polynomial algebra

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#abstract-algebra #polynomials #convolution #hopf-algebras
160
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Question on Sweedler notation and a property of the transpose

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#abstract-algebra #hopf-algebras #coalgebras
913
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Duality between universal enveloping algebra and algebras of functions

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#lie-groups #lie-algebras #duality-theorems #hopf-algebras #quantum-groups
151
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What happens if $(f_1\otimes g_1)(u_1 \otimes v_1) = (f_2 \otimes g_2)(u_2 \otimes v_2)$?

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#abstract-algebra #tensor-products #tensors #hopf-algebras #quantum-groups
61
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Why we need an orthonormal basis?

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#abstract-algebra #tensor-products #tensors #hopf-algebras #quantum-groups
51
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Change of scalars for comodules as adjunctions?

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#linear-algebra #abstract-algebra #hopf-algebras #coalgebras #comodules
85
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What is the meaning of $(\mu \otimes \mu) ({\rm id}\otimes \tau \otimes {\rm id})$?

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#abstract-algebra #tensor-products #hopf-algebras #quantum-groups #lie-bialgebras
47
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Why can't you consider coideal generated by sets.

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#hopf-algebras #coalgebras
46
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Action on associated graded algebra inducing action on filtered algebra

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#ring-theory #modules #hopf-algebras #graded-rings #filtrations

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