{"product_id":"9783319227030","title":"Lecture Notes in Mathematics: A Multilinear Approach","description":"\u003ch1\u003eLecture Notes in Mathematics: A Multilinear Approach\u003c\/h1\u003e \u003ch2\u003eKharchenko, Vladislav\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-12-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319227030\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-22704-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 302\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369829949580,"sku":"9783319227030","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319227030.jpg?v=1775675554","url":"https:\/\/lateknightbooks.com\/products\/9783319227030","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}