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Quantum groups :a path to current al...
~
Moore, Ross,
Quantum groups :a path to current algebra /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
512/.55
書名/作者:
Quantum groups : : a path to current algebra // Ross Street ; technical editor, Ross Moore.
作者:
Street, Ross,
其他作者:
Moore, Ross,
面頁冊數:
1 online resource (xviii, 141 pages) : : digital, PDF file(s).
附註:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:
Quantum groups.
標題:
Algebra.
ISBN:
9780511618505 (ebook)
摘要、提要註:
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.
電子資源:
http://dx.doi.org/10.1017/CBO9780511618505
Quantum groups :a path to current algebra /
Street, Ross,1945-
Quantum groups :
a path to current algebra /Ross Street ; technical editor, Ross Moore. - 1 online resource (xviii, 141 pages) :digital, PDF file(s). - Australian Mathematical Society lecture series ;19. - Australian Mathematical Society lecture series ;17..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
ISBN: 9780511618505 (ebook)Subjects--Topical Terms:
383611
Quantum groups.
LC Class. No.: QC20.7.G76 / S87 2007
Dewey Class. No.: 512/.55
Quantum groups :a path to current algebra /
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http://dx.doi.org/10.1017/CBO9780511618505
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