Life & Natural Systems MathematicsENCours 13 - Modèles de groupesJulien AFebruary 10, 2023 52 min★ ★ ★ ★ ☆ 4/5ÉpidémiologieModèles MathématiquesGroupes
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 28. Products of groupsRichard E BorcherdsMarch 5, 2022 23 min★ ★ ★ ★ ★ 5/5Group TheoryNumber TheoryChinese Remainder Theorem
Formal & Physical Sciences MathematicsENRings 10 Tensor products of abelian groupsRichard E BorcherdsOctober 8, 2021 27 min★ ★ ★ ★ ★ 5/5Tensor ProductsAbelian GroupsCategory Theory
Formal & Physical Sciences MathematicsENLie groups: Modular functionRichard E BorcherdsFebruary 25, 2021 28 min★ ★ ★ ★ ★ 5/5Lie GroupsModular FunctionInvariant Measure
Formal & Physical Sciences MathematicsENLie groups: Haar measureRichard E BorcherdsFebruary 24, 2021 24 min★ ★ ★ ★ ★ 5/5Haar MeasureLie GroupsIntegration
Formal & Physical Sciences MathematicsENLie groups: Lie's theoremRichard E BorcherdsFebruary 23, 2021 23 min★ ★ ★ ★ ★ 5/5Lie AlgebrasSolvable Lie AlgebrasLie's Theorem
Formal & Physical Sciences MathematicsENLie groups: Engel's theoremRichard E BorcherdsFebruary 22, 2021 24 min★ ★ ★ ★ ☆ 4/5Lie AlgebrasEngel's TheoremNilpotent
Formal & Physical Sciences MathematicsENLie groups: Bianchi classificationRichard E BorcherdsFebruary 21, 2021 24 min★ ★ ★ ★ ★ 5/5Lie GroupsBianchi ClassificationThurston Geometries
Formal & Physical Sciences MathematicsENLie groups: Positive characteristic is weirdRichard E BorcherdsFebruary 20, 2021 21 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasPositive Characteristic
Formal & Physical Sciences MathematicsENLie groups: Baker Campbell Hausdorff formulaRichard E BorcherdsFebruary 18, 2021 25 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasBaker-Campbell-Hausdorff
Formal & Physical Sciences MathematicsENLie groups: Exponential mapRichard E BorcherdsFebruary 17, 2021 25 min★ ★ ★ ★ ★ 5/5Lie GroupsExponential MapMatrix Groups
Formal & Physical Sciences MathematicsENLie groups: Lie groups and Lie algebrasRichard E BorcherdsFebruary 16, 2021 36 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasSimply Connected
Formal & Physical Sciences MathematicsENLie groups: Lie algebrasRichard E BorcherdsFebruary 15, 2021 30 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasJacobi Identity
Formal & Physical Sciences MathematicsENLie groups: IntroductionRichard E BorcherdsFebruary 14, 2021 36 min★ ★ ★ ★ ☆ 4/5Lie GroupsMathematicsGroup Theory
Formal & Physical Sciences MathematicsENRepresentation theory: Frobenius groupsRichard E BorcherdsDecember 8, 2020 19 min★ ★ ★ ★ ★ 5/5Frobenius GroupRepresentation TheoryInduced Representation
Formal & Physical Sciences MathematicsENRepresentation theory: Induced representationsRichard E BorcherdsDecember 7, 2020 19 min★ ★ ★ ★ ★ 5/5Representation TheoryInduced RepresentationAdjoint Functors
Formal & Physical Sciences MathematicsENSporadic groupsRichard E BorcherdsNovember 22, 2020 60 min★ ★ ★ ★ ★ 5/5Finite Simple GroupsSporadic GroupsMonster Group
Formal & Physical Sciences MathematicsENMath talk: Sporadic groups and number theoryRichard E BorcherdsOctober 30, 2020 27 min★ ★ ★ ★ ★ 5/5Sporadic GroupsMoonshineNumber Theory
Formal & Physical Sciences MathematicsENRepresentation theory: Burnside's theoremRichard E BorcherdsSeptember 21, 2020 17 min★ ★ ★ ★ ★ 5/5Burnside's TheoremRepresentation TheoryGroup Theory
Formal & Physical Sciences MathematicsENRepresentation theory: The Schur indicatorRichard E BorcherdsSeptember 12, 2020 22 min★ ★ ★ ★ ★ 5/5Schur IndicatorRepresentation TheoryBilinear Forms
Formal & Physical Sciences MathematicsENRepresentation theory: Examples D8, A4, S4, S5, A5Richard E BorcherdsSeptember 11, 2020 23 min★ ★ ★ ★ ★ 5/5Representation TheoryCharacter TablesFinite Groups
Formal & Physical Sciences MathematicsENRepresentation theory: Orthogonality relationsRichard E BorcherdsSeptember 9, 2020 25 min★ ★ ★ ★ ★ 5/5Representation TheoryOrthogonality RelationsCharacter Table
Formal & Physical Sciences MathematicsENRepresentation theory: Abelian groupsRichard E BorcherdsSeptember 7, 2020 23 min★ ★ ★ ★ ★ 5/5Representation TheoryAbelian GroupsCharacter Theory
Formal & Physical Sciences MathematicsENRepresentation theory: IntroductionRichard E BorcherdsSeptember 6, 2020 30 min★ ★ ★ ★ ★ 5/5Representation TheoryFinite GroupsCharacter Table
Formal & Physical Sciences MathematicsENGroup theory, abstraction, and the 196,883-dimensional monster3Blue1BrownAugust 19, 2020 21 min★ ★ ★ ★ ★ 5/5Group TheoryMonster GroupSporadic Groups
Formal & Physical Sciences MathematicsENGroup theory 32: Subgroups of free groupsRichard E BorcherdsJuly 3, 2020 21 min★ ★ ★ ★ ★ 5/5Group TheoryFree GroupsSubgroups
Formal & Physical Sciences MathematicsENGroup theory 31: Free groupsRichard E BorcherdsJuly 3, 2020 27 min★ ★ ★ ★ ★ 5/5Free GroupsGroup TheoryFree Abelian Groups
Formal & Physical Sciences MathematicsENGroup theory 30: Outer automorphismsRichard E BorcherdsJuly 2, 2020 24 min★ ★ ★ ★ ★ 5/5Group TheoryAutomorphismsSymmetric Groups
Formal & Physical Sciences MathematicsENGroup theory 29:The Jordan Holder theoremRichard E BorcherdsJuly 2, 2020 18 min★ ★ ★ ★ ★ 5/5Group TheoryJordan-Hölder TheoremComposition Series
Formal & Physical Sciences MathematicsENGroup theory 28: Groups of order 120, 168Richard E BorcherdsJuly 2, 2020 13 min★ ★ ★ ★ ★ 5/5Group TheoryBinary Icosahedral GroupFano Plane
Formal & Physical Sciences MathematicsENGroup theory 27: The icosahedral groupRichard E BorcherdsJuly 2, 2020 26 min★ ★ ★ ★ ★ 5/5Group TheoryIcosahedral GroupSimple Groups
Formal & Physical Sciences MathematicsENGroup theory 26: Too many p groupsRichard E BorcherdsJuly 2, 2020 12 min★ ★ ★ ★ ☆ 4/5Group TheoryP-GroupsClassification
Formal & Physical Sciences MathematicsENGroup theory 25: The transfer homomorphismRichard E BorcherdsJuly 1, 2020 25 min★ ★ ★ ★ ★ 5/5Group TheoryTransfer HomomorphismAbelianization
Formal & Physical Sciences MathematicsENGroup theory 24: Extra special groupsRichard E BorcherdsJuly 1, 2020 31 min★ ★ ★ ★ ★ 5/5Group TheoryExtra Special GroupsHeisenberg Group
Formal & Physical Sciences MathematicsENGroup theory 23: Coxeter Todd algorithmRichard E BorcherdsJuly 1, 2020 25 min★ ★ ★ ★ ★ 5/5Group TheoryCoxeter-Todd AlgorithmCoset Enumeration
Formal & Physical Sciences MathematicsENGroup theory 22: Symmetric groupsRichard E BorcherdsJune 30, 2020 29 min★ ★ ★ ★ ☆ 4/5Group TheorySymmetric GroupAlternating Group
Formal & Physical Sciences MathematicsENGroup theory 21: Groups of order 24Richard E BorcherdsJune 30, 2020 20 min★ ★ ★ ★ ☆ 4/5Group TheoryClassificationBinary Tetrahedral Group
Formal & Physical Sciences MathematicsENGroup theory 20: Frobenius groupsRichard E BorcherdsJune 29, 2020 12 min★ ★ ★ ★ ★ 5/5Group TheoryFrobenius GroupsFinite Groups
Formal & Physical Sciences MathematicsENGroup theory 19: Wreath productsRichard E BorcherdsJune 29, 2020 20 min★ ★ ★ ★ ★ 5/5Group TheoryWreath ProductSylow Subgroups
Formal & Physical Sciences MathematicsENGroup theory 18: Nilpotent groupsRichard E BorcherdsJune 29, 2020 16 min★ ★ ★ ★ ★ 5/5Group TheoryNilpotent GroupsP-Groups