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#eugene dynkin

Nov 4, 2019

Lochlainn O’Raifeartaigh, group structure of gauge theories

#Lochlainn O'Raifeartaigh #Eugene Dynkin #SU(2)#gauge #Wilhelm Killing #Cartan subalgebra #Élie Cartan #SO(5)#Sophus Lie #groups #physics #quaternions #Cartan matrix #linear algebra #particle physics #Dublin #Lie theory #matrices #matrix #representation theory #representations #gauge theory #symmetry #unitary group #octonions #3D #5D #8D

Jul 24, 2019

Bill Fulton and Joe Harris show inclusions and equivalences among various geometric ideas in continuous linear algebra

#Weyl chambers #Dynkin diagrams #parabolic subgroups #flag manifolds #Grassmannians #Hermann Weyl #Eugene Dynkin #Joe Harris #Bill Fulton #ADE #Lie groups #Lie theory #Sophus Lie #mathematics #maths #math #group theory #algebra #representation theory #irreps #Armand Borel #Borel subgroup #Lagrangians #linear #determinant #matrices #buildings #rotations #special linear group #geometry

Jun 9, 2019

Miles Reid gives a polynomial for each Platonic solid

#Platonic solids #Dynkin diagrams #Patrick Du Val #H. F. Baker #Miles Reid #Eugene Dynkin #commutative algebra #resolutions #groups #group theory #A-D-E #ADE #icosahed #octahedron #tetrahedron #dihedral #cyclic #E8 #E₈ #Plato #mathematics #maths #algebra #geometry #algebraic geometry #math #polynomials

Feb 14, 2019

Lochlainn O’Raifeartaigh, group structure of gauge theories

#Dynkin diagrams #SO(2n+1)#tensors #7D #SO(8)#adjoint #adjoint representation #spinors #angle #geometry #Lochlainn ORaifeartaigh #SO(6)#rotations #crystals #symmetry #Eugene Dynkin #4D #physics #odd sphere #Élie Cartan #SU(3)#27D #rank #symmetric #index #representation theory #representations #Sp(4)#Lie theory #Sophus Lie

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