TY - BOOK AU - Street,Ross AU - Moore,Ross TI - Quantum groups: a path to current algebra T2 - Australian Mathematical Society lecture series SN - 9780511618505 (ebook) AV - QC20.7.G76 S87 2007 U1 - 512/.55 22 PY - 2007/// CY - Cambridge PB - Cambridge University Press KW - Quantum groups KW - Algebra N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986 UR - https://doi.org/10.1017/CBO9780511618505 ER -