$ $k$-theory $p$-adicrepresentationsoffinitegroups 05a1911a2511e2511f3311f3711p8414k2517b6730b7033d15 16t0516t1016s4016t3017b3517b3718d1018c1519a22 16w3016t0517b3718d1019d2320g42 17b3717b5517b5617b6517b6720c0820c1120g0520g4220g43 1887-1920 abelianvarietiesandschemes additivenumbertheory;partitions algebraicgeometry algebraictopology algebrasforatriple arithmeticfunctions;relatednumbers;inversionformulas associativeringsandalgebras basichypergeometricfunctions basichypergeometricfunctionsinonevariable bialgebras bijectivecombinatorics braidedcategories burnsideandrepresentationrings categoriesandtheories categorieswithstructure categorytheory;homologicalalgebra cohomologyoflie(super)algebras combinatorialidentities combinatorics congresses congruencesformodularand$p$-adicmodularforms connectionswithcombinatorics continuedfractions discontinuousgroupsandautomorphicforms elementarynumbertheory enumerativecombinatorics formsandlinearalgebraicgroups formsofhalf-integerweight;nonholomorphicmodularforms frobeniusinduction functions functionsofacomplexvariable grothendieckgroupsand$k_0$ grouptheoryandgeneralizations heckealgebrasandtheirrepresentations higheralgebraic$k$-theory homologicalmethodsinlie(super)algebras homologyandderivedfunctorsfortriples hopfalgebras hopfalgebrasandtheirapplications infinite-dimensionallie(super)algebras kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras liealgebras liealgebrasandliesuperalgebras linearalgebraicgroupsandrelatedtopics monadortriad) monoidalcategories(=multiplicativecategories) numbertheory partitionidentities;identitiesofrogers-ramanujantype quantumgroups(quantizedenvelopingalgebras)andrelateddeformations quantumgroups(quantizedfunctionalgebras)andtheirrepresentations quantumgroupsandrelatedtopics ramanujanaiyangar representationsofgroups representationtheory representationtheoryofgroups ringsandalgebrasarisingundervariousconstructions schurand$q$-schuralgebras seriesexpansions smashproductsofgeneralhopfactions specialfunctions(33-xxdealswiththepropertiesoffunctionsasfunctions) srinivasa sumsofsquaresandrepresentationsbyotherparticularquadraticforms symmetricmonoidalcategories tensorfields theta thetafunctions triples(=standardconstruction universalenveloping(super)algebras