{"product_id":"hopf-algebras-and-root-systems-9781470452322","title":"Hopf Algebras and Root Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eHopf algebras, Nichols algebras, braided monoidal categories, and quantized enveloping algebras: A quick introduction to Nichols algebras\u003c\/li\u003e\n\u003cli\u003e Basic Hopf algebra theory\u003c\/li\u003e\n\u003cli\u003e Braided monoidal categories\u003c\/li\u003e\n\u003cli\u003eYetter-Drinfeld modules over Hopf algebras\u003c\/li\u003e\n\u003cli\u003e Gradings and filtrations\u003c\/li\u003e\n\u003cli\u003eBraided structures\u003c\/li\u003e\n\u003cli\u003e Nichols algebras\u003c\/li\u003e\n\u003cli\u003e Quantized enveloping algebras and generalizations\u003c\/li\u003e\n\u003cli\u003e Cartan graphs, Weyl groupoids, and root systems: Cartan graphs and Weyl groupoids\u003c\/li\u003e\n\u003cli\u003e The structure of Cartan graphs and root systems\u003c\/li\u003e\n\u003cli\u003e Cartan graphs of Lie superalgebras\u003c\/li\u003e\n\u003cli\u003e Weyl groupoids and root systems of Nichols algebras: A braided monoidal isomorphism of Yetter-Drinfeld modules\u003c\/li\u003e\n\u003cli\u003e Nichols systems, and semi-Cartan graph of Nichols algebras\u003c\/li\u003e\n\u003cli\u003e Right coideal subalgebras of Nichols systems, and Cartan graph of Nichols algebras\u003c\/li\u003e\n\u003cli\u003e Applications: Nichols algebras of diagonal type\u003c\/li\u003e\n\u003cli\u003e Nichols algebras of Cartan type\u003c\/li\u003e\n\u003cli\u003e Nichols algebras over non-abelian groups\u003c\/li\u003e\n\u003cli\u003e Bibliography\u003c\/li\u003e\n\u003cli\u003e Index of symbols\u003c\/li\u003e\n\u003cli\u003e Subject index.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041328730455,"sku":"9781470452322","price":109.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470452322.jpg?v=1740182512","url":"https:\/\/bookcurl.com\/products\/hopf-algebras-and-root-systems-9781470452322","provider":"Book Curl","version":"1.0","type":"link"}