03431nam 22006613 450 991096914410332120220905084604.097814704634101470463415(CKB)5490000000082081(MiAaPQ)EBC29731917(Au-PeEL)EBL29731917(OCoLC)1241198083(RPAM)22064880(PPN)256595720(EXLCZ)99549000000008208120220905d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDouble Affine Hecke Algebras and Congruence Groups1st ed.Providence :American Mathematical Society,2021.©2020.1 online resource (108 pages)Memoirs of the American Mathematical Society,0065-9266 ;number 13059781470443269 1470443260 Includes bibliographical references.Cover -- 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.Memoirs of the American Mathematical Society ;no. 1305.Hecke algebrasAffine algebraic groupsRepresentations of groupsGroup theory and generalizations -- Representation theory of groups -- Hecke algebras and their representationsmscNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebrasmscGroup theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groupsmscGroup theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphismsmscHecke algebras.Affine algebraic groups.Representations of groups.Group theory and generalizations -- Representation theory of groups -- Hecke algebras and their representations.Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras.Group theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groups.Group theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphisms.51220C0817B6720F3620F34mscIon Bogdan1800649Sahi Siddhartha311207MiAaPQMiAaPQMiAaPQBOOK9910969144103321Double Affine Hecke Algebras and Congruence Groups4345557UNINA