rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Generalized Lie Theory in Mathematics, Physics and Beyond
  name:
    name part: Silvestrov, Sergei.
    role:
      role term: editor.
  name:
    name part: Paal, Eugen.
    role:
      role term: editor.
  name:
    name part: Abramov, Viktor.
    role:
      role term: editor.
  name:
    name part: Stolin, Alexander.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 306 p. 3 illus. online resource.
  abstract: The goal of this book is to extend the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. This volume is devoted to the interplay between several rapidly expanding research fields in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book will be a useful source of inspiration for a broad spectrum of researchers and for research students, and includes contributions from several large research communities in modern mathematics and physics. This volume consists of 5 parts comprising 25 chapters, which were contributed by 32 researchers from 12 different countries. All contributions in the volume have been refereed.
  table of contents: Non-Associative and Non-Commutative Structures for Physics -- Moufang Transformations and Noether Currents -- Weakly Nonassociative Algebras, Riccati and KP Hierarchies -- Applications of Transvectants -- Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics -- A Rewriting Approach to Graph Invariants -- Non-Commutative Deformations, Quantization, Homological Methods, and Representations -- Graded q-Differential Algebra Approach to q-Connection -- On Generalized N-Complexes Coming from Twisted Derivations -- Remarks on Quantizations, Words and R-Matrices -- Connections on Modules over Singularities of Finite and Tame CM Representation Type -- Computing Noncommutative Global Deformations Of D-Modules -- Comparing Small Orthogonal Classes -- Groups and Actions -- How to Compose Lagrangian? -- Semidirect Products of Generalized Quaternion Groups by a Cyclic Group -- A Characterization Of A Class Of 2-Groups By Their Endomorphism Semigroups -- Adjoint Representations and Movements -- Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus -- Quasi-Lie, Super-Lie, Hom-Hopf and Super-Hopf Structures and Extensions, Deformations and Generalizations of Infinite-Dimensional Lie Algebras -- Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras -- Bosonisation and Parastatistics -- Deformations of the Witt, Virasoro, and Current Algebra -- Conformal Algebras in the Context of Linear Algebraic Groups -- Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions -- A Note on Quasi-Lie and Hom-Lie Structures of ?-Derivations of C=[Z 1 ±1 ,…,Z n ±1 ] -- Commutative Subalgebras in Noncommutative Algebras -- Algebraic Dependence of Commuting Elements in Algebras -- Crossed Product-Like and Pre-Crystalline Graded Rings -- Decomposition of the Enveloping Algebra so(5).
  note: edited by Sergei Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Topological Groups, Lie Groups
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783540853329
  identifier: http://dx.doi.org/10.1007/978-3-540-85332-9
  record info:
    record creation date: 100301
    record change date: 20151204143913.0
    record identifier: 978-3-540-85332-9