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001439849 001__ 1439849
001439849 003__ OCoLC
001439849 005__ 20230309004525.0
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001439849 019__ $$a1272994293
001439849 020__ $$a9783030778453$$q(electronic bk.)
001439849 020__ $$a3030778452$$q(electronic bk.)
001439849 020__ $$z9783030778446
001439849 020__ $$z3030778444
001439849 0247_ $$a10.1007/978-3-030-77845-3$$2doi
001439849 035__ $$aSP(OCoLC)1268984458
001439849 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dSFB$$dOCLCQ
001439849 049__ $$aISEA
001439849 050_4 $$aQA613.8$$b.C37 2021
001439849 08204 $$a512/.55$$223
001439849 1001_ $$aCartier, P.$$q(Pierre),$$eauthor.
001439849 24510 $$aClassical Hopf algebras and their applications /$$cPierre Cartier, Frédéric Patras.
001439849 264_1 $$aCham :$$bSpringer,$$c[2021]
001439849 264_4 $$c©2021
001439849 300__ $$a1 online resource :$$billustrations
001439849 336__ $$atext$$btxt$$2rdacontent
001439849 337__ $$acomputer$$bc$$2rdamedia
001439849 338__ $$aonline resource$$bcr$$2rdacarrier
001439849 4901_ $$aAlgebra and applications,$$x2192-2950 ;$$vvolume 29
001439849 504__ $$aIncludes bibliographical references and index.
001439849 5050_ $$a1. Introduction -- Part I General Theory -- 2 Coalgebras, Duality -- 3. Hopf Algebras and Groups -- 4. Structure Theorems -- 5. Graded Hopf Algebras and the Descent Gebra -- 6. PreLie Algebras -- Part II Applications -- 7. Group Theory -- 8. Algebraic Topology -- 9. Combinatorial Hopf Algebras -- 10. Renormalization.
001439849 506__ $$aAccess limited to authorized users.
001439849 520__ $$aThis book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s. The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.
001439849 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 5, 2021).
001439849 650_0 $$aHopf algebras.
001439849 650_6 $$aAlgèbres de Hopf.
001439849 655_0 $$aElectronic books.
001439849 7001_ $$aPatras, Frédéric,$$eauthor.
001439849 77608 $$iPrint version:$$aCartier, P. (Pierre).$$tClassical Hopf algebras and their applications.$$dCham : Springer, [2021]$$z3030778444$$z9783030778446$$w(OCoLC)1250305360
001439849 830_0 $$aAlgebras and applications ;$$vv. 29.$$x2192-2950
001439849 852__ $$bebk
001439849 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-77845-3$$zOnline Access$$91397441.1
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001439849 980__ $$aBIB
001439849 980__ $$aEBOOK
001439849 982__ $$aEbook
001439849 983__ $$aOnline
001439849 994__ $$a92$$bISE