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Proceedings of the Workshop Contemporary Geometry and Related Topics
  • Language: en
  • Pages: 469

Proceedings of the Workshop Contemporary Geometry and Related Topics

Readership: Researchers in geometry & topology, nonlinear science and dynamical systems.

Chevalley Supergroups
  • Language: en
  • Pages: 77

Chevalley Supergroups

In the framework of algebraic supergeometry, the authors give a construction of the scheme-theoretic supergeometric analogue of split reductive algebraic group-schemes, namely affine algebraic supergroups associated to simple Lie superalgebras of classical type. In particular, all Lie superalgebras of both basic and strange types are considered. This provides a unified approach to most of the algebraic supergroups considered so far in the literature, and an effective method to construct new ones. The authors' method follows the pattern of a suitable scheme-theoretic revisitation of Chevalley's construction of semisimple algebraic groups, adapted to the reductive case. As an intermediate step, they prove an existence theorem for Chevalley bases of simple classical Lie superalgebras and a PBW-like theorem for their associated Kostant superalgebras.

Quantum Groups and Noncommutative Spaces
  • Language: en
  • Pages: 247

Quantum Groups and Noncommutative Spaces

This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the Max-Planck-Institute for Mathematics in Bonn.

Contemporary Geometry And Related Topics, Proceedings Of The Workshop
  • Language: en
  • Pages: 469

Contemporary Geometry And Related Topics, Proceedings Of The Workshop

This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science. Most of the papers show new, interesting results in Riemannian geometry, homotopy theory, theory of Lie groups and Lie algebras, topological analysis, integrable systems, quantum groups, and noncommutative geometry. There are also papers giving overviews of the recent achievements in some special topics, such as the Willmore conjecture, geodesic mappings, Weyl's tube formula, and integrable geodesic flows. This book provides a great chance for interchanging new results and ideas in multidisciplinary studies.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Stability Properties for Q-multiplicities and Branching Formulas for Representations of the Classical Groups
  • Language: en
  • Pages: 222
Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional
  • Language: en
  • Pages: 310

Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1. The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth families of complex manifolds and integration theory are developed. The second part studies uniformization, U(1)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gr...

Mathematical Reviews
  • Language: en
  • Pages: 984

Mathematical Reviews

  • Type: Book
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  • Published: 2007
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  • Publisher: Unknown

None

Annales de l'Institut Fourier
  • Language: fr
  • Pages: 648

Annales de l'Institut Fourier

  • Type: Book
  • -
  • Published: 1949
  • -
  • Publisher: Unknown

None

Bibliografia nazionale italiana
  • Language: it
  • Pages: 868

Bibliografia nazionale italiana

  • Type: Book
  • -
  • Published: 2000-07
  • -
  • Publisher: Unknown

None

The Italian Comedy
  • Language: en
  • Pages: 385

The Italian Comedy

Illustrated history of the beginnings, growth and influence of the commedia dell’ arte. Describes improvisations, staging, marks, scenarios, acting troupes, and origins.