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Diff — Hopf algebra

Revision #822 → #1307 · back to history

addedHopf algebra (informal)264335345988
addedConvolution algebra of a bialgebra2e2cf55287db
addedHopf algebra (antipode condition)af95e8a11942
addedHopf algebra over a commutative ringed308d97e498
addedSelf-duality of Hopf algebra definition14829191ae07
addedStructure constants for multiplication, comultiplication, and antipodef84009721c6f
addedAssociativity constraint on structure constants4c1df4034e9a
addedCo-associativity constraint on structure constantsb16ef9a22e28
addedConnecting axiom on structure constants92a107f5e4c5
addedInvertibility of the antipode in special casese4d80e8e9321
addedAntipode is an antihomomorphismfaaed3739d43
addedInvolutive Hopf algebra50e004aaa0e8
addedUniqueness of antipode78da9eae8917
addedAntipode as group-inverse analog8682b160e571
addedHopf subalgebra67836d481bda
addedNichols–Zoeller freeness theorem62565a276705
addedHopf subalgebra of semisimple is semisimple0e8bf8dcf739
addedRight normal Hopf subalgebra003437a4d579
addedLeft normal Hopf subalgebra85b6d8182c03
addedNormal Hopf subalgebra91b6e3401257
addedNormal Hopf subalgebra condition and quotient7aeea9e771bd
addedHopf order09dbb8e8f5b2
addedGroup-like element056fbf2c0ca7
addedGroup-like elements form a group9b159367b2c4
addedPrimitive element60351a03f4de
addedComultiplication formula on h_k51476aa73b8f
addedCohomology algebra of a Lie group as Hopf algebra24726a9fac03
addedHopf's structure theorem for cohomology of Lie groupsb5d297508008
addedQuantum groups as deformed Hopf algebrasad4dc91e26e2
addedTensor product of A-modules50ffaaef863b
addedTrivial representation0b474b85fdbf
addedDual representation4894c3544f37
addedNatural isomorphisms are A-module homomorphisms6b83a72ff8a7
addedGraded Hopf algebra75a65bee553e
addedLocally compact quantum group56b3c4c410c4
addedQuasi-Hopf algebra0b7047dcf1f5
addedMultiplier Hopf algebra729515bb8402
addedHopf group-(co)algebracb3805de457f
addedWeak Hopf algebra681ef1a6fac6
addedFinite groupoid algebra as weak Hopf algebraa2c5e896f2e8
addedGroup axiomatization via Hopf algebra diagrams11fe1a647835
addedHopf algebra in a braided monoidal categorydf1cf0ba751b
addedBialgebra in a categorye0e0ea2a8187
addedGroups as Hopf algebras in Set37efba44e0fb
addedClassical Hopf algebras as Hopf algebras in Vect7f5054c0cdf3
addedFunctional algebras on groupsc983d851515b
addedStereotype group algebrascfd85d5766b5