@book{602fbb0dfab044f091fb2674920a7997,

title = "Quantum groups: a path to current algebra",

abstract = "Algebra has moved well beyond the topics discussed in standard undergraduate texts on {\textquoteleft}modern algebra{\textquoteright}. 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 the latest 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 {\textquoteleft}algebra{\textquoteright}. 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 {\textquoteleft}coalgebra{\textquoteright}. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term {\textquoteleft}quantum group{\textquoteright}, along with revolutionary new examples, was launched by Drinfel{\textquoteright}d in 1986.",

keywords = "Quantum groups, Algebra",

author = "Ross Street",

editor = "Ross Moore",

year = "2007",

language = "English",

isbn = "9780521695244",

series = "Australian Mathematical Society lecture series",

publisher = "Cambridge University Press (CUP)",

address = "United Kingdom",

}