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 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 '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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Australian Mathematical Society Lecture Series |
| Release date: |
2007 |
| First published: |
2007 |
| Authors: |
Ross Street
(Professor Emeritus)
|
| Dimensions: |
229 x 152 x 9mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
160 |
| ISBN-13: |
978-0-521-69524-4 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Mathematical foundations >
General
Promotions
|
| LSN: |
0-521-69524-4 |
| Barcode: |
9780521695244 |
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