Differential Geometric Methods in Theoretical Physics : Proceedings of the 19th International Conference Held in Rapallo, Italy, 19–24 June 1990. 1st ed. 1991

種類:

電子ブック

責任表示:

edited by CLAUDIO BARTOCCI, Ugo Bruzzo, Roberto Cianci

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991

著者名:

• BARTOCCI, CLAUDIO.
• Bruzzo, Ugo.
• Cianci, Roberto.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Physics ; 375

ISBN:

9783540470908 [3540470905]    

注記:

Higgs fields and superconnections -- Noncommutative differential geometry, quantum mechanics and gauge theory -- to non-commutative geometry and Yang-Mills model-building -- II. Gauge-field model-building via non-commutative differential geometry -- Measuring coalgebras, quantum group-like objects, and non-commutative geometry -- Tensor Operator Structures in Quantum Unitary Groups -- Quantum groups and quantum complete integrability: Theory and experiment -- Some ideas and results on integrable nonlinear evolution systems -- An algebraic characterization of complete integrability for Hamiltonian systems -- Integrable lattice models and their scaling limits QFT and CFT -- Quantum groups, Riemann surfaces and conformal field theory -- Some physical applications of category theory -- From poisson groupoids to quantum groupoids and back -- Quantization on Kähler manifolds -- A new class of infinite-dimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems -- Exchange Algebra in the Confo
Geometry, if understood properly, is still the closest link between mathematics and theoretical physics, even for quantum concepts. In this collection of outstanding survey articles the concept of non-commutation geometry and the idea of quantum groups are discussed from various points of view. Furthermore the reader will find contributions to conformal field theory and to superalgebras and supermanifolds. The book addresses both physicists and mathematicians.

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