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Dual to group algebra of a finite group as a Hopf Algebra

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#abstract-algebra #group-theory #finite-groups #group-homomorphism #hopf-algebras
126
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A computation in a commutative Frobenius algebra

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#category-theory #surfaces #hopf-algebras #topological-quantum-field-theory
90
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Primitive elements and Hurewicz map

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#algebraic-topology #solution-verification #hopf-algebras
58
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Hopf algebra elements whose product with another element is proportional to the counit of that element

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#abstract-algebra #hopf-algebras
75
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Nonstandard Hopf algebra of polynomials

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#hopf-algebras
227
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Tensor product and diagonal homomorphism on algebras

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#abstract-algebra #hopf-algebras
99
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When is $(\mathbf{Z}/n\mathbf{Z})_R$ self-dual?

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#number-theory #algebraic-geometry #schemes #hopf-algebras #group-schemes
44
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Why $(b \rightharpoonup c ) = b\cdot c$ when $b,c \in A$?

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#abstract-algebra #hopf-algebras #associativity
198
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Sweedler Notation: $\eta\epsilon$ is the identity element of the convolution product

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#abstract-algebra #solution-verification #convolution #hopf-algebras #coalgebras
276
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Proving uniqueness of antipodes in Hopf algebras

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#abstract-algebra #hopf-algebras #coalgebras
71
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Antipode of a Hopf algebra satisfies $\sum_{(x)} S(x') \otimes x'' \otimes x''' = \sum_{(x)} \epsilon(x') \otimes x''$

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#abstract-algebra #hopf-algebras
87
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Taft-Hopf Algebra has dimension $N^2$?

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#linear-algebra #abstract-algebra #finitely-generated #hopf-algebras #hamel-basis
805
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Integrals of a Hopf algebra: Why that name?

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#abstract-algebra #soft-question #modules #terminology #hopf-algebras
324
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Example of a cocommutative, non-unimodular Hopf algebra?

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#abstract-algebra #modules #representation-theory #examples-counterexamples #hopf-algebras
131
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Unimodularity: How are these notions related?

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#linear-algebra #abstract-algebra #terminology #hopf-algebras #locally-compact-groups

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