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[null,"1.","Record Nr.",null,"UNINA9910134869303321"]
[null,null,"Autore",null,"Kharchenko Vladislav"]
[null,null,"Titolo",null,"Quantum Lie Theory : A Multilinear Approach / / by Vladislav Kharchenko"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015"]
[null,null,"ISBN",null,"3-319-22704-1"]
[null,null,"Edizione",null,"[1st ed. 2015.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XIII, 302 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 2150"]
[null,null,"Disciplina",null,"512.55"]
[null,null,"Soggetti",null,"Associative rings"]
[{"$nulls":4},"Rings (Algebra)"]
[{"$nulls":4},"Nonassociative rings"]
[{"$nulls":4},"Group theory"]
[{"$nulls":4},"Quantum theory"]
[{"$nulls":4},"Associative Rings and Algebras"]
[{"$nulls":4},"Non-associative Rings and Algebras"]
[{"$nulls":4},"Group Theory and Generalizations"]
[{"$nulls":4},"Quantum Physics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Elements of noncommutative algebra -- Poincar´e-Birkhoff-Witt basis -- Quantizations of Kac-Moody algebras -- Algebra of skew-primitive elements -- Multilinear operations -- Braided Hopf algebras -- Binary structures -- Algebra of primitive nonassociative polynomials."]
[null,null,null,"Sommario/riassunto","This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin  Lie algebras;  and Shestakov--Umirbaev  operations for the Lie theory of nonassociative products.  Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a "]
[{"$nulls":4},"reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form."]