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Isomorphism between two Hopf algebras

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#modules #hopf-algebras #algebras #coalgebras #comodules
857
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Hopf algebra structure on universal enveloping algebra?

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#abstract-algebra #lie-algebras #hopf-algebras
247
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Yoneda's lemma: group morphisms give Hopf-algebra morphisms

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#category-theory #duality-theorems #hopf-algebras #natural-transformations #representable-functor
83
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Do there exist any algebras in which we cannot take tensor product?

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#representation-theory #tensor-products #hopf-algebras
95
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Show that a certain element is a linear combination of tensors

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#abstract-algebra #tensor-products #hopf-algebras #coalgebras
111
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How to prove the reduced comultiplication of a coaugmented coalgebra is coassociative?

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#abstract-algebra #hopf-algebras #coalgebras
95
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The Coproduct of the Identity element

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#hopf-algebras #quantum-groups
184
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If $H$ is a finite-dimensional Hopf algebra, then the antipode is bijective?

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#hopf-algebras
126
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Is the kernel of an action of a Hopf algebra on an algebra a biideal?

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#reference-request #ideals #hopf-algebras
51
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Is every sub-Hopf algebra a Frobenius extension?

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#adjoint-functors #hopf-algebras
110
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Hopf "algebroid" structure of a groupoid convolution algebra?

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#convolution #noncommutative-algebra #hopf-algebras #coalgebras #groupoids
42
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Let B be a bialgebra. Show that the following are equivalent

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#hopf-algebras
78
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Axioms of a coalgebra restated using Sweedler's notation

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#summation #tensor-products #hopf-algebras #coalgebras
55
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For two modules over a Hopf algebra $H$, are the module homomorphisms the same as the $H$-invariant linear maps?

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#abstract-algebra #representation-theory #hopf-algebras
375
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Distributions of a group scheme as differential operators.

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#abstract-algebra #algebraic-geometry #algebraic-groups #differential-operators #hopf-algebras

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