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E-raamat: Hopf Algebras in Noncommutative Geometry and Physics

Edited by (Free University of Brussels, Belgium), Edited by (University of Antwerp, Belgium)
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Hopf Algebras in Noncommutative Geometry and PhysicsSuurem pilt
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This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the classification theory of finite dimensional Hopf algebras, categorical aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties of corings and their comodules in relation to ring and Hopf algebra theory and analyzes entwining structures and Morita theory for corings.
PrefaceL Conference Participants
Morita Contexts for Corings and Equivalences
1(20)
J. Abuhlail
Hopf Order Module Algebra Orders
21(10)
F. Aly
F. Van Oystaeyen
An alternative Notion of Hopf Algebroid
31(24)
G. Bohm
Topological Hopf Algebras, Quantum Groups and Deformation Quantization
55(16)
Ph. Bonneau
D. Sternheimer
On Coseparable and Biseparable Corings
71(18)
T. Brzezinski
L. Kadison
R. Wisbauer
More Properties of Yetter-Drinfeld Modules over Quasi-Hopf Algebras
89(24)
D. Bulacu
S. Caenepeel
F. Panaite
Rationality Properties for Morita Contexts associated to Corings
113(24)
S. Caenepeel
J. Vercruysse
S.H. Wang
Morita Duality for Corings over Quasi-Frobenius Rings
137(18)
L. El Kaoutit
J. Gdmez-Torrecillas
Quantized Coinvariants at Transcendental q
155(12)
K. R. Goodearl
T. H. Lenagan
Classification of Differentials on Quantum Doubles and Finite Noncommutative Geometry
167(22)
S. Majid
Noncommutative Differentials and Yang-Mills on Permutation Groups 5n
189(26)
S. Majid
The Affineness Criterion for Doi-Koppinen Modules
215(14)
C. Menini
G. Militaru
Algebra Properties invariant under Twisting
229(16)
S. Montgomery
Quantum SL(3, C)'s: the missing case
245(12)
C. Ohn
Cuntz Algebras and Dynamical Quantum Group SU(2)
257(12)
A. Paolucci
On Symbolic Computations in Braided Monoidal Categories
269(12)
B. Pareigis
Quotients of Finite Quasi-Hopf Algebras
281(10)
P. Schauenburg
Adjointable Monoidal Functors and Quantum Groupoids
291(18)
K. Szlachdnyi
On Galois Corings
309
R. Wisbauer
Stefaan Caenepeel
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