Generalized Lie Theory in Mathematics, Physics and BeyondSergei D. Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. |
Contents
| 3 | |
Weakly Nonassociative Algebras Riccati and KP Hierarchies | 9 |
Applications of Transvectants 29 | 28 |
Automorphisms of Finite Orthoalgebras Exceptional Root Systems | 39 |
A Rewriting Approach to Graph Invariants 47 | 46 |
NonCommutative Deformations Quantization Homological | 68 |
On Generalized NComplexes Coming from Twisted Derivations | 81 |
Remarks on Quantizations Words and RMatrices | 89 |
Adjoint Representations and Movements | 161 |
Applications of Hypocontinuous Bilinear Maps | 171 |
QuasiLie SuperLie HomHopf and SuperHopf Structures | 187 |
Bosonisation and Parastatistics | 207 |
Deformations of the Witt Virasoro and Current Algebra | 219 |
Conformal Algebras in the Context of Linear Algebraic Groups | 235 |
Lie Color and HomLie Algebras of Witt Type and Their Central | 247 |
A Note on QuasiLie and HomLie Structures of σDerivations | 257 |
Connections on Modules over Singularities of Finite | 99 |
Computing Noncommutative Global Deformations of DModules | 109 |
Comparing Small Orthogonal Classes 119 | 118 |
How to Compose Lagrangian? | 131 |
Semidirect Products of Generalized Quaternion Groups | 141 |
A Characterization of a Class of 2Groups by Their Endomorphism | 150 |
Other editions - View all
Generalized Lie Theory in Mathematics, Physics and Beyond Sergei D. Silvestrov,Eugen Paal,Viktor Abramov,Alexander Stolin No preview available - 2009 |
Generalized Lie Theory in Mathematics, Physics and Beyond Sergei D. Silvestrov,Eugen Paal,Viktor Abramov,Alexander Stolin No preview available - 2008 |
Generalized Lie Theory in Mathematics, Physics and Beyond Sergei D. Silvestrov,Eugen Paal,Viktor Abramov,Alexander Stolin No preview available - 2010 |
Common terms and phrases
action applications associative associative algebra assume basis calculations called classical commutative complex condition connection consider construction continuous corresponding crossed curve defined Definition deformation denote dependence derivation describe determined differential dimension direct edges elements endomorphism equations equivalent example exists expressed extension fact field finite functions geometry given graded graded ring Hence hierarchy holds Hopf algebra ideal identity implies integrable introduce invariant isomorphism Lemma Lie algebra linear map locally convex Math Mathematics matrix module monoid Moufang loop multiplication natural Note obtain operators orthoalgebra partial particular Phys Physics polynomial possible projective Proof properties Proposition proved quantizations References relations Remark representation resp respectively ring satisfy semigroups Silvestrov simple singularities solution structure subsets Theorem theory topological University values vector space