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SUMMARY:John Baez (U. C. Riverside)
DTSTART:20230206T180000Z
DTEND:20230206T193000Z
DTSTAMP:20260422T120125Z
UID:AlgebraParticlesFoundations/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AlgebraParti
 clesFoundations/16/">The Tenfold Way</a>\nby John Baez (U. C. Riverside) a
 s part of Algebra\, Particles\, and Quantum theory\n\n\nAbstract\nThe impo
 rtance of the tenfold way in physics was only recognized in this century. 
  Simply put\, it implies that there are ten fundamentally different kinds 
 of matter.   But it goes back to 1964\, when the topologist C. T. C. Wall 
 classified the associative real super division algebras and found ten of t
 hem.   The three "purely even" examples were already familiar: the real nu
 mbers\, complex numbers and quaternions.   The rest become important when 
 we classify representations of groups or supergroups on Z/2-graded vector 
 spaces.   We explain this classification\, its connection to Clifford alge
 bras\, and some of its implications.\n
LOCATION:https://researchseminars.org/talk/AlgebraParticlesFoundations/16/
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