{"product_id":"quantum-lie-theory-vladislav-kharchenko-9783319227030","title":"Quantum Lie Theory: A Multilinear Approach","description":"\u003cp\u003eThis 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 reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Vladislav Kharchenko\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319227033\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319227030\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/25\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 302\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.99lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.67d","brand":"Vladislav Kharchenko","offers":[{"title":"Paperback","offer_id":44634601783551,"sku":"9783319227030","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_4db7a779-6b4d-44a3-8136-7aac9c43d98f.jpg?v=1703590056","url":"https:\/\/www.whiterainbookhouse.com\/products\/quantum-lie-theory-vladislav-kharchenko-9783319227030","provider":"WR Book House","version":"1.0","type":"link"}