A quantum groups primerShahn Majid.

By:

Majid, Shahn [Author]

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107360754

Subject(s):

Quantum groups

Genre/Form:

Electronic Books.

LOC classification:

QC174 .Q368 2002

Online resources:

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Available additional physical forms:

Contents:

Dual pairing. SLq(2). Actions -- Coactions. Quantum plane A2q -- Automorphism quantum groups -- Quasitriangular structures -- Roots of Unity. uq(sl2) -- q-Binomials -- Quantum double. Dual-quasitriangular structures -- Braided categories -- (Co)module categories. Crossed modules -- q-Hecke algebras -- Rigid objects. Dual representations. Quantum dimension -- Knot invariants -- Hopf algebras in braided categories -- Braided differentiation -- Bosonisation. Inhomogeneous quantum groups -- Double bosonisation. Diagrammatic construction of uq(sl2) -- The braided group Uq(n- ). Construction of Uq(g) -- q-Serre relations -- R-matrix methods -- Group algebra, Hopf algebra factorisations. Bicrossproducts -- Lie bialgebras. Lie splittings. Iwasawa decomposition -- Poisson geometry. Noncommutative bundles. q-Sphere -- Connections. q-Monopole. Nonuniversal differentials.

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Holdings
Item type	Current library	Collection	Call number	URL	Status	Date due	Barcode
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)	G. Allen Fleece Library ONLINE	Non-fiction	QC174.17.7 (Browse shelf(Opens below))	Link to resource	Available		ocn836864131

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Includes bibliographies and index.

Coalgebras, bialgebras and Hopf algebras. Uq(b+) -- Dual pairing. SLq(2). Actions -- Coactions. Quantum plane A2q -- Automorphism quantum groups -- Quasitriangular structures -- Roots of Unity. uq(sl2) -- q-Binomials -- Quantum double. Dual-quasitriangular structures -- Braided categories -- (Co)module categories. Crossed modules -- q-Hecke algebras -- Rigid objects. Dual representations. Quantum dimension -- Knot invariants -- Hopf algebras in braided categories -- Braided differentiation -- Bosonisation. Inhomogeneous quantum groups -- Double bosonisation. Diagrammatic construction of uq(sl2) -- The braided group Uq(n- ). Construction of Uq(g) -- q-Serre relations -- R-matrix methods -- Group algebra, Hopf algebra factorisations. Bicrossproducts -- Lie bialgebras. Lie splittings. Iwasawa decomposition -- Poisson geometry. Noncommutative bundles. q-Sphere -- Connections. q-Monopole. Nonuniversal differentials.

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