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Lie Groups and Lie Algebras
  • Language: en
  • Pages: 442

Lie Groups and Lie Algebras

This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantiz...

Primitive Actions and the Sophus Lie Problem
  • Language: en
  • Pages: 72

Primitive Actions and the Sophus Lie Problem

  • Type: Book
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  • Published: 1993
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  • Publisher: Unknown

None

Three-dimensional isotropically-faithful homogeneous spaces
  • Language: en
  • Pages: 128

Three-dimensional isotropically-faithful homogeneous spaces

  • Type: Book
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  • Published: 1993
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  • Publisher: Unknown

None

Four-dimensional Pseudo-Riemannian Homogeneous Spaces
  • Language: en
  • Pages: 152

Four-dimensional Pseudo-Riemannian Homogeneous Spaces

  • Type: Book
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  • Published: 1995
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  • Publisher: Unknown

None

Low-dimensional Pseudo-Riemannian Homogeneous Spaces
  • Language: en
  • Pages: 22

Low-dimensional Pseudo-Riemannian Homogeneous Spaces

  • Type: Book
  • -
  • Published: 1995
  • -
  • Publisher: Unknown

None

Lie Groups and Lie Algebras III
  • Language: en
  • Pages: 264

Lie Groups and Lie Algebras III

A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.

Symmetries and Integrals
  • Language: en
  • Pages: 160

Symmetries and Integrals

  • Type: Book
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  • Published: 1993
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  • Publisher: Unknown

None

Two-dimensional Homogeneous Spaces
  • Language: en
  • Pages: 142

Two-dimensional Homogeneous Spaces

  • Type: Book
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  • Published: 1993
  • -
  • Publisher: Unknown

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Four-dimensional pseudo-Riemannian homogeneous spaces
  • Language: en
  • Pages: 119

Four-dimensional pseudo-Riemannian homogeneous spaces

  • Type: Book
  • -
  • Published: 1995
  • -
  • Publisher: Unknown

None

Geometry in Partial Differential Equations
  • Language: en
  • Pages: 476

Geometry in Partial Differential Equations

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very importa...