LEADER 03431nam 22006613 450 001 9910969144103321 005 20220905084604.0 010 $a9781470463410 010 $a1470463415 035 $a(CKB)5490000000082081 035 $a(MiAaPQ)EBC29731917 035 $a(Au-PeEL)EBL29731917 035 $a(OCoLC)1241198083 035 $a(RPAM)22064880 035 $a(PPN)256595720 035 $a(EXLCZ)995490000000082081 100 $a20220905d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDouble Affine Hecke Algebras and Congruence Groups 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2021. 210 4$dİ2020. 215 $a1 online resource (108 pages) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 1305 311 08$a9781470443269 311 08$a1470443260 320 $aIncludes bibliographical references. 327 $aCover -- Title page -- List of Figures -- List of Tables -- Acknowledgments -- Chapter 1. Introduction -- Chapter 2. Notation and Conventions -- Chapter 3. Affine Root Systems -- Chapter 4. A Refinement of Van der Lek's Presentation -- Chapter 5. The Coxeter Presentation -- Chapter 6. Automorphisms -- Chapter 7. (Anti)Involutions and Diagram Automorphisms -- Chapter 8. Reductive Group Data -- Chapter 9. Extended Double Affine Artin Groups -- Chapter 10. Hecke Algebras -- Appendix A. Combinatorial Results -- Appendix B. Non-Coxeter Groups -- Bibliography -- Back Cover. 410 0$aMemoirs of the American Mathematical Society ;$vno. 1305. 606 $aHecke algebras 606 $aAffine algebraic groups 606 $aRepresentations of groups 606 $aGroup theory and generalizations -- Representation theory of groups -- Hecke algebras and their representations$2msc 606 $aNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras$2msc 606 $aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groups$2msc 606 $aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphisms$2msc 615 0$aHecke algebras. 615 0$aAffine algebraic groups. 615 0$aRepresentations of groups. 615 7$aGroup theory and generalizations -- Representation theory of groups -- Hecke algebras and their representations. 615 7$aNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras. 615 7$aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groups. 615 7$aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphisms. 676 $a512 686 $a20C08$a17B67$a20F36$a20F34$2msc 700 $aIon$b Bogdan$01800649 701 $aSahi$b Siddhartha$0311207 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910969144103321 996 $aDouble Affine Hecke Algebras and Congruence Groups$94345557 997 $aUNINA