Hopf Algebras in Noncommutative Geometry and Physics

ISBN-13: 9781138454309 / Angielski / Twarda / 2020 / 340 str.

Stefaan Caenepeel

Opis

Summarizes the proceedings and keynote presentations from a conference held in Brussels, Belgium. This work focuses on results in classical Hopf algebras as well as the classification theory of finite dimensional Hopf algebras, categorical aspects of Hopf algebras, and advances in the theory of corings and quasi-Hopf algebras.

Spis treści

Preface -- Conference Participants -- Morita Contexts for Corings and Equivalences -- /J. Abuhlail -- Hopf Order Module Algebra Orders -- /F. Aly and F. Van Oystaeyen -- An alternative Notion of Hopf Algebroid -- /G. Bõhm -- Topological Hopf Algebras, Quantum Groups and Deformation Quantization -- /Ph. Bonneau and D. Sternheimer -- On Coseparable and Biseparable Corings -- /T. Brzezinski, L. Kadison and R. Wisbauer -- More Properties of Yetter-Drinfeld Modules over Quasi-Hopf Algebras -- /D. Bulacu, S.Caenepeel and F. Panaite -- Rationality Properties for Morita Contexts associated to Corings -- /S. Caenepeel, J. Vercruysse and S.H. Wang -- Morita Duality for Corings over Quasi-Frobenius Rings -- /L. El Kaoutit and J. Gómez-Torrecillas -- Quantized Coin variants at Transcendental q -- /K. R. Good earl and T. H. Lenagan -- Classification of Differentials on Quantum Doubles and Finite Noncommutative Geometry -- /S. Majid -- Noncommutative Differentials and Yang-Mills on Permutation Groups Sn -- /5. Majid -- The Affineness Criterion for Doi-Koppinen Modules -- /C Menini and G. Militaru -- Algebra Properties invariant under Twisting -- /S. Montgomery -- Quantum SL(3, C)'s: the missing case -- /C.Ohn -- Cuntz Algebras and Dynamical Quantum Group SU(2) -- /A. Paolucci -- On Symbolic Computations in Braided Monoidal Categories -- /B. Pareigis -- Quotients of Finite Quasi-Hopf Algebras -- /P. Schauenburg -- Adjointable Monoidal Functors and Quantum Groupoids -- /K. Szlachányi -- On Galois Corings -- /R. Wisbauer.

O autorze

Stefaan Caenepeel