2009

Generalized Lie Theory in Mathematics, Physics and Beyond

ISBN: 978-3-540-85331-2 (Print) 978-3-540-85332-9 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xvii

  2. Non-Associative and Non-Commutative Structures for Physics

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      Book Chapter

      Pages 3-8

      Moufang Transformations and Noether Currents

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      Book Chapter

      Pages 9-27

      Weakly Nonassociative Algebras, Riccati and KP Hierarchies

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      Book Chapter

      Pages 29-37

      Applications of Transvectants

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      Book Chapter

      Pages 39-45

      Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics

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      Book Chapter

      Pages 47-67

      A Rewriting Approach to Graph Invariants

  3. Non-Commutative Deformations, Quantization, Homological Methods, and Representations

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      Pages 71-79

      Graded q-Differential Algebra Approach to q-Connection

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      Pages 81-88

      On Generalized N-Complexes Coming from Twisted Derivations

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      Book Chapter

      Pages 89-98

      Remarks on Quantizations, Words and R-Matrices

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      Book Chapter

      Pages 99-108

      Connections on Modules over Singularities of Finite and Tame CM Representation Type

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      Book Chapter

      Pages 109-117

      Computing Noncommutative Global Deformations Of D-Modules

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      Pages 119-128

      Comparing Small Orthogonal Classes

  4. Groups and Actions

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      Book Chapter

      Pages 131-140

      How to Compose Lagrangian?

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      Book Chapter

      Pages 141-149

      Semidirect Products of Generalized Quaternion Groups by a Cyclic Group

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      Book Chapter

      Pages 151-159

      A Characterization Of A Class Of 2-Groups By Their Endomorphism Semigroups

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      Book Chapter

      Pages 161-170

      Adjoint Representations and Movements

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      Book Chapter

      Pages 171-186

      Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus

  5. Quasi-Lie, Super-Lie, Hom-Hopf and Super-Hopf Structures and Extensions, Deformations and Generalizations of Infinite-Dimensional Lie Algebras

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      Book Chapter

      Pages 189-206

      Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras

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      Pages 207-218

      Bosonisation and Parastatistics

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      Book Chapter

      Pages 219-234

      Deformations of the Witt, Virasoro, and Current Algebra

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      Book Chapter

      Pages 235-246

      Conformal Algebras in the Context of Linear Algebraic Groups

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