Bimonoids for Hyperplane Arrangements
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portes grátis
Bimonoids for Hyperplane Arrangements
Aguiar, Marcelo; Mahajan, Swapneel
Cambridge University Press
03/2020
824
Dura
Inglês
9781108495806
15 a 20 dias
1490
Descrição não disponível.
Introduction; Part I. Species and Operads: 1. Hyperplane arrangements; 2. Species and bimonoids; 3. Bimonads on species; 4. Operads; Part II. Basic Theory of Bimonoids: 5. Primitive filtrations and decomposable filtrations; 6. Universal constructions; 7. Examples of bimonoids; 8. Hadamard product; 9. Exponential and logarithm; 10. Characteristic operations; 11. Modules over monoid algebras and bimonoids in species; 12. Antipode; Part III. Structure Results for Bimonoids: 13. Loday-Ronco, Leray-Samelson, Borel-Hopf; 14. Hoffman-Newman-Radford; 15. Freeness under Hadamard products; 16. Lie monoids; 17. Poincare-Birkhoff-Witt and Cartier-Milnor-Moore; Appendix A. Linear algebra; Appendix B. Higher monads; Appendix C. Internal hom; Appendix D. Semidirect products; References; Notation index; Author index; Subject index.
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hyperplane arrangement; zeta and Mobius functions; exponential and logarithm; species; operad; bimonoid; Lie monoid; Hadamard product; antipode; characteristic operations; Birkhoff algebra; Tits algebra; Janus algebra; bimonad; bilax functor
Introduction; Part I. Species and Operads: 1. Hyperplane arrangements; 2. Species and bimonoids; 3. Bimonads on species; 4. Operads; Part II. Basic Theory of Bimonoids: 5. Primitive filtrations and decomposable filtrations; 6. Universal constructions; 7. Examples of bimonoids; 8. Hadamard product; 9. Exponential and logarithm; 10. Characteristic operations; 11. Modules over monoid algebras and bimonoids in species; 12. Antipode; Part III. Structure Results for Bimonoids: 13. Loday-Ronco, Leray-Samelson, Borel-Hopf; 14. Hoffman-Newman-Radford; 15. Freeness under Hadamard products; 16. Lie monoids; 17. Poincare-Birkhoff-Witt and Cartier-Milnor-Moore; Appendix A. Linear algebra; Appendix B. Higher monads; Appendix C. Internal hom; Appendix D. Semidirect products; References; Notation index; Author index; Subject index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
