Einstein's Mirror

Infinite-dimensionalCliffordalgebrasandtheirFockrepresentationsoriginatedinthequantummechanicalstudyofelectrons.InthisbooktheauthorsgiveadefinitiveaccountofthevariousCliffordalgebrasoverarealHilbertspaceandoftheirFockrepresentations.Acarefulconsiderationofthelatter'stransformationpropertiesunderBogoliubovautomorphismsleadstotherestrictedorthogonalgroup.Fromthere,astudyofinnerBogoliubovautomorphismsenablestheauthorstoconstructinfinite-dimensionalspingroups.Apartfromassumingabasicbackgroundinfunctionalanalysisandoperatoralgebras,thepresentationisself-containedwithcompleteproofs,manyofwhichofferafreshperspectiveonthesubject.Thebookwillthereforeappealtoawideaudienceofgraduatestudentsandresearchersinmathematicsandmathematicalphysics.