ENGLISH

Species of type B and related graded Hopf Algebras

By Philippe Choquette

Book information

Year
2010
ISBN
9780494683491
Language
english
Format
PDF
Filesize
4 MB (4016586 bytes)
Series
PhD thesis at York University
Pages
\169
Topic
Mathematics Algebra
Time added
2020-09-05 08:13:24

Description

Abstract iv Acknowledgements vi List of tables x Introduction 1 Chapter I Background H 1 . 1 General notions of categories 1 1 1 .2 Monoidal categories 15 1 .2. 1 Monoidal functors 17 1.2.2 Composites of monoidal functors 20 1.2.3 Moronisms of monoidal functors 21 1.2.4 Adjunctions of monoidal functors 22 1.2.5 Hopf monoids 23 1.3 Graded vector spaces 28 1.4 Species 29 1.4.1 Substitution of species 34 1 .4.2 Bilax monoidal functors 40 1.5 Cubical species 42 Chapter II %-SPECIES 44 2.1 H-sets 44 2.2 H-species 51 2.3 Tensor product on ?-species 58 2.3.1 Dual H-species 65 2.3.2 Positive ?-species 67 2.4 From species to ?-species 68 2.5 Functors properties 76 2.6 Free monoid and cofree comonoid on an ?-species 85 2.7 Mixed substitution of species 98 Chapter III Graded vector spaces from species 103 3.1 A bilax monoidal functor Sp^ -> gVec 103 3.2 Other bilax monoidal functors HO 3.3 Hopf algebras arising from 7^-species 115 3.4 Morphisms of bilax monoidal functors 121 3.5 Graded Hopf algebras arising from mixed substitutions of species 128 Chapter IV Bigraded Hopf algebras 133 4.1 Bigraded Hopf algebras 133 4.1.1 DQSym 135 4.1.2 SoP(B) 137 4.2 Hopf algebra of set compositions 138 4.3 Hopf algebra of signed set compositions 141 4.4 Combinatorial Hopf species 145 4.5 Combinatorial bigraded Hopf algebras 148 4.5.1 Terminal object 149 4.5.2 Antipode of DQSym 151 Conclusion 153 Bibliography 156

Similar books

Session C11: Ancient Cultural Landscapes in South Europe – their Ecological Setting and Evolution, Session C22: Gardeners from South America, Session S04: Agro-Pastoralism and Early Metallurgy Sessions, Session WS29: The Idea of Enclosure in Recent Iberian Prehistory, Session C88: Rhytmes et causalites des dynamiques de l'anthropisation en Europe entre 6500 ET 500 BC: Hypotheses socio-culturelles et/ou climatiques: Proceedings of the XV UISPP World Congress (Lisbon 4-9 September 2006) / Actes du XV Congrès Mondial (Lisbonne 4-9 Septembre 2006) Vol.36

Session C11: Ancient Cultural Landscapes in South Europe – their Ecological Setting and Evolution, Session C22: Gardeners from South America, Session S04: Agro-Pastoralism and Early Metallurgy Sessions, Session WS29: The Idea of Enclosure in Recent Iberian Prehistory, Session C88: Rhytmes et causalites des dynamiques de l'anthropisation en Europe entre 6500 ET 500 BC: Hypotheses socio-culturelles et/ou climatiques: Proceedings of the XV UISPP World Congress (Lisbon 4-9 September 2006) / Actes du XV Congrès Mondial (Lisbonne 4-9 Septembre 2006) Vol.36

2010 · PDF

THE BRITISH ARMY IN INDIA: ITS PRESERVATION BY AN APPROPRIATE CLOTHING, HOUSING, LOCATING, RECREATIVE EMPLOYMENT, AND HOPEFUL ENCOURAGEMENT OF THE TROOPS. with AN APPENDIX ON INDIA : THE CLIMATE OP ITS HILLS ; THE DEVELOPMENT OF ITS RESODRCBS, INDUSTRY, AND ARTS ; THE ADMINISTRATION OF JUSTICE ; THE BLACK ACT ; THE PROGRESS OF CHRISTIANITY ; THE TRAFFIC IN OPIUM ; THE VALUE OF INDIA ; PERMANENT CAUSES OF DISAFFECTION, AND OF THE RECENT REBELLION ; THE TRADITIONARY POLICY; MISGOVERNMENT BY NATIVE RULERS ; ANNEXATIONS OF THEIR TERRITORY, ETC.

THE BRITISH ARMY IN INDIA: ITS PRESERVATION BY AN APPROPRIATE CLOTHING, HOUSING, LOCATING, RECREATIVE EMPLOYMENT, AND HOPEFUL ENCOURAGEMENT OF THE TROOPS. with AN APPENDIX ON INDIA : THE CLIMATE OP ITS HILLS ; THE DEVELOPMENT OF ITS RESODRCBS, INDUSTRY, AND ARTS ; THE ADMINISTRATION OF JUSTICE ; THE BLACK ACT ; THE PROGRESS OF CHRISTIANITY ; THE TRAFFIC IN OPIUM ; THE VALUE OF INDIA ; PERMANENT CAUSES OF DISAFFECTION, AND OF THE RECENT REBELLION ; THE TRADITIONARY POLICY; MISGOVERNMENT BY NATIVE RULERS ; ANNEXATIONS OF THEIR TERRITORY, ETC.

1858 · PDF

Idries Shah 27 Books Collection : A Perfumed Scorpion, A Veiled Gazelle, Caravan of Dreams, Darkest England, Destination Mecca, Evenings with Idries Shah, Knowing How to Know, Learning How to Learn, Letters and Lectures of Idries Shah, Neglected aspects of Sufi study, Observations, Oriental Magic, Reflections, Seeker after Truth, Special Illumination, Special Problems in the study of Sufi ideas, Sufi thought and action, Tales of the Dervishes, The Dermis Probe, The Elephant in the Dark, The Englishman Handbook, Idries Shah Antology, The Magic Monastery, The natives are restless, wisdom of the Idiots PDF.

Idries Shah 27 Books Collection : A Perfumed Scorpion, A Veiled Gazelle, Caravan of Dreams, Darkest England, Destination Mecca, Evenings with Idries Shah, Knowing How to Know, Learning How to Learn, Letters and Lectures of Idries Shah, Neglected aspects of Sufi study, Observations, Oriental Magic, Reflections, Seeker after Truth, Special Illumination, Special Problems in the study of Sufi ideas, Sufi thought and action, Tales of the Dervishes, The Dermis Probe, The Elephant in the Dark, The Englishman Handbook, Idries Shah Antology, The Magic Monastery, The natives are restless, wisdom of the Idiots PDF.

2022 · PDF

The travels of Capts. Lewis and Clarke from St. Louis, by way of the Missouri and Columbia rivers, to the Pacific ocean; performed in the years 1804, 1805 & 1806, by order of the government of the United States. Containing delineations of the manners, customs, religion, &c. of the Indians, comp. from various authentic sources, and original documents, and a summary of the Statistical view of the Indian nations, from the official communication of Meriwether Lewis. Illustrated with a map of the country, inhabited by the western tribes of Indians

The travels of Capts. Lewis and Clarke from St. Louis, by way of the Missouri and Columbia rivers, to the Pacific ocean; performed in the years 1804, 1805 & 1806, by order of the government of the United States. Containing delineations of the manners, customs, religion, &c. of the Indians, comp. from various authentic sources, and original documents, and a summary of the Statistical view of the Indian nations, from the official communication of Meriwether Lewis. Illustrated with a map of the country, inhabited by the western tribes of Indians

1809 · PDF

Professional Linux kernel architecture ''Wrox programmer to programmer''--Cover. - ''What you are reading right now is the result of an evolution over more than seven years: After two years of writing, the first edition was published in German by Carl Hanser Verlag in 2003. It then described kernel 2.6.0. The test was used as a basis for the low-level design documentation for the EAL4+ security evaluation of Red Hat Enterprise Linux 5, requiring to update it to kernel 2.6.18 (if the EAL acronym does not mean anything to you, then Wikipedia is once more your friend). Hewlett-Packard sponsored the translation into English and has, thankfully, granted the rights to publish the result. Updates to kernel 2.6.24 were then performed specifically for this book''--P. ix

Professional Linux kernel architecture ''Wrox programmer to programmer''--Cover. - ''What you are reading right now is the result of an evolution over more than seven years: After two years of writing, the first edition was published in German by Carl Hanser Verlag in 2003. It then described kernel 2.6.0. The test was used as a basis for the low-level design documentation for the EAL4+ security evaluation of Red Hat Enterprise Linux 5, requiring to update it to kernel 2.6.18 (if the EAL acronym does not mean anything to you, then Wikipedia is once more your friend). Hewlett-Packard sponsored the translation into English and has, thankfully, granted the rights to publish the result. Updates to kernel 2.6.24 were then performed specifically for this book''--P. ix

2008 · PDF