@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",
}