標(biāo)題: Titlebook: Generalized Lie Theory in Mathematics, Physics and Beyond; Sergei Silvestrov,Eugen Paal,Alexander Stolin Book 2009 Springer-Verlag Berlin [打印本頁] 作者: Diverticulum 時(shí)間: 2025-3-21 17:21
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作者: Bravura 時(shí)間: 2025-3-21 20:21
https://doi.org/10.1007/978-94-017-7125-2resulting solutions of a matrix KP hierarchy determine, under a ‘rank one condition’, solutions of the scalar KP hierarchy. We extend these results to the discrete KP hierarchy. Moreover, we build a bridge from the WNA framework to the Gelfand—Dickey—Sato formulation of the KP hierarchy.作者: 門窗的側(cè)柱 時(shí)間: 2025-3-22 00:31
https://doi.org/10.1007/978-94-017-1147-0g combinatorial problem is to construct finite orthoalgebras not admitting bivaluations. In this paper we discuss the construction of a family such examples closely related to the irreducible root systems of exceptional type.作者: 鞠躬 時(shí)間: 2025-3-22 07:54
Interchangeability in Dynamic Environments,espondence between classes of .-Hom-coalgebras and .-Hom-algebras. In another hand, we provide relevant definitions and basic properties of Hom-Hopf algebras generalizing the classical Hopf algebras and define the module and comodule structure over Hom-associative algebra or Hom-coassociative coalgebra.作者: 晚間 時(shí)間: 2025-3-22 09:51
https://doi.org/10.1007/978-1-4615-5515-5 current Lie algebras. These families are genus one (i.e. elliptic) Lie algebras of Krichever—type. In this contribution the results are reviewed. The families of algebras are given in explicit form. The constructions are induced by the geometric process of degenerating the elliptic curves to singular cubics.作者: 不吉祥的女人 時(shí)間: 2025-3-22 14:48
Weakly Nonassociative Algebras, Riccati and KP Hierarchiesresulting solutions of a matrix KP hierarchy determine, under a ‘rank one condition’, solutions of the scalar KP hierarchy. We extend these results to the discrete KP hierarchy. Moreover, we build a bridge from the WNA framework to the Gelfand—Dickey—Sato formulation of the KP hierarchy.作者: 不吉祥的女人 時(shí)間: 2025-3-22 20:00
Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanicsg combinatorial problem is to construct finite orthoalgebras not admitting bivaluations. In this paper we discuss the construction of a family such examples closely related to the irreducible root systems of exceptional type.作者: eulogize 時(shí)間: 2025-3-23 00:36
Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebrasespondence between classes of .-Hom-coalgebras and .-Hom-algebras. In another hand, we provide relevant definitions and basic properties of Hom-Hopf algebras generalizing the classical Hopf algebras and define the module and comodule structure over Hom-associative algebra or Hom-coassociative coalgebra.作者: 沙漠 時(shí)間: 2025-3-23 03:55
Deformations of the Witt, Virasoro, and Current Algebra current Lie algebras. These families are genus one (i.e. elliptic) Lie algebras of Krichever—type. In this contribution the results are reviewed. The families of algebras are given in explicit form. The constructions are induced by the geometric process of degenerating the elliptic curves to singular cubics.作者: braggadocio 時(shí)間: 2025-3-23 07:10 作者: ARIA 時(shí)間: 2025-3-23 13:20
Toward a Theory of Constitutive Justice,nection and the curvature matrix. We calculate the expression for the curvature matrix in terms of the entries of the matrix of .-connection. We also find the form of the Bianchi identity in terms of the curvature matrix and the matrix of a .-connection.作者: 清唱?jiǎng)?nbsp; 時(shí)間: 2025-3-23 15:08 作者: Entropion 時(shí)間: 2025-3-23 20:08 作者: 最后一個(gè) 時(shí)間: 2025-3-23 22:24 作者: Musculoskeletal 時(shí)間: 2025-3-24 06:04 作者: cuticle 時(shí)間: 2025-3-24 07:16
ommunities 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..978-3-642-09904-5978-3-540-85332-9作者: GLUT 時(shí)間: 2025-3-24 12:37 作者: 使害羞 時(shí)間: 2025-3-24 17:20 作者: SUE 時(shí)間: 2025-3-24 22:03
Weakly Nonassociative Algebras, Riccati and KP Hierarchiesary differential equations, solutions of the KP hierarchy with dependent variable in an associative subalgebra (the middle nucleus). We recall central results and consider a class of WNA algebras for which the hierarchy of ODEs reduces to a matrix Ric-cati hierarchy, which can be easily solved. The 作者: 兵團(tuán) 時(shí)間: 2025-3-25 00:32
Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum MechanicsGiven a physical system (quantum or classical), the collection of all its binary observables (properties) may be viewed as an orthoalgebra. In the quantum case, in contrast to the classical, the orthoalgebra cannot have a “bivaluation” (a morphism ending in a two-element orthoalgebra). An interestin作者: Osteoporosis 時(shí)間: 2025-3-25 04:16
A Rewriting Approach to Graph Invariantsn popping up in the last couple of decades. Concretely, it generalises the underlying structure of expressions to being general graphs, where traditional algebraic notation only supports path- or treelike expressions. This paper demonstrates how to apply the author‘s Generic Diamond Lemma in diagram作者: 排出 時(shí)間: 2025-3-25 10:13 作者: AXIS 時(shí)間: 2025-3-25 12:53 作者: 你敢命令 時(shí)間: 2025-3-25 16:53 作者: 神經(jīng) 時(shí)間: 2025-3-25 20:00
Computing Noncommutative Global Deformations Of D-Modulessider noncommutative deformations of quasi-coherent sheaves of left .-modules on ., and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left ..-module .. when . is any elliptic curve.作者: 忍耐 時(shí)間: 2025-3-26 02:53
Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculusus. We describe situations where, nonetheless, compositions of β with Keller -maps (on suitable domains) are. Our main applications concern holomorphic families of operators, and the foundations of locally convex Poisson vector spaces.作者: Crohns-disease 時(shí)間: 2025-3-26 07:04
Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebrasf Hom-coalgebra, Hom-coassociative coalgebra and G-Hom-coalgebra for any subgroup . of permutation group ... Also we extend the concept of Lie-admissible coalgebra by Goze and Remm to Hom-coalgebras and show that .-Hom-coalgebras are Hom-Lie admissible Hom-coalgebras, and also establish duality corr作者: absolve 時(shí)間: 2025-3-26 12:08 作者: 小隔間 時(shí)間: 2025-3-26 14:47
Deformations of the Witt, Virasoro, and Current Algebraymore if the Lie algebra to be deformed is infinite dimensional. Such Lie algebras might be formally rigid but nevertheless allow deformations which are even locally non-trivial. In joint work with Alice Fialowski the author constructed such geometric families for the formally rigid Witt algebra and作者: 平靜生活 時(shí)間: 2025-3-26 17:29
978-3-642-09904-5Springer-Verlag Berlin Heidelberg 2009作者: 小卒 時(shí)間: 2025-3-26 21:45
https://doi.org/10.1007/978-3-540-85332-9Algebra; Integrable systems algebras groups; Non-associative algebras; Quasi Lie algebras; linear algebr作者: Dungeon 時(shí)間: 2025-3-27 01:12
The Character of the UK ConstitutionThe Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal‘ltsev algebra of an analytic Moufang loop.作者: 脆弱吧 時(shí)間: 2025-3-27 08:11
Union of Soviet Socialist Republics,We discuss the role of the transvectant, a device dating from the early history of representation theory, in the theory of Padé approximants and hyperelliptic ?-functions.作者: 纖細(xì) 時(shí)間: 2025-3-27 10:17
Constitutive Laws and MicrostructureInspired by a result of V. Abramov [1] on .-differential graded algebras, we prove a theorem, analogous to Abramov‘s result but in a slightly different set-up, using a σ- (twisted) derivation as the differential-like map. As an application, we construct a generalized .-complex based on the ring of Laurent polynomials.作者: poliosis 時(shí)間: 2025-3-27 14:43
Constrained Deformation of MaterialsA method for constructing Lagrangians for the Lie transformation groups is explained. As examples, Lagrangians for real plane rotations and affine transformations of the real line are constructed.作者: lipids 時(shí)間: 2025-3-27 21:07 作者: stroke 時(shí)間: 2025-3-28 01:23
Sridhar Gangadharan,Sanjay ChuriwalaIn this paper the groups . of order 32 of the form . = (.. × ..) λ .. are considered. These groups are described by their endomorphism semigroups. It follows from these descriptions that all these groups are determined by their endomorphism semigroups in the class of all groups.作者: Blood-Vessels 時(shí)間: 2025-3-28 04:49
Marc Gyssens,Luc Vandeurzen,Dirk Van GuchtThe aim of this paper is to develop the theory of higher order movements by using the structure of multiple tangent bundles. In this context the meaning of invariants of polynomials and of matrices is explained. The connection with central and raw moments appearing in probability theory is established作者: GLADE 時(shí)間: 2025-3-28 10:15
Moufang Transformations and Noether CurrentsThe Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal‘ltsev algebra of an analytic Moufang loop.作者: Custodian 時(shí)間: 2025-3-28 11:47 作者: 廢除 時(shí)間: 2025-3-28 16:26
On Generalized ,-Complexes Coming from Twisted DerivationsInspired by a result of V. Abramov [1] on .-differential graded algebras, we prove a theorem, analogous to Abramov‘s result but in a slightly different set-up, using a σ- (twisted) derivation as the differential-like map. As an application, we construct a generalized .-complex based on the ring of Laurent polynomials.作者: colloquial 時(shí)間: 2025-3-28 22:06 作者: 得意人 時(shí)間: 2025-3-28 23:31 作者: perimenopause 時(shí)間: 2025-3-29 04:43 作者: NAG 時(shí)間: 2025-3-29 10:03
Adjoint Representations and MovementsThe aim of this paper is to develop the theory of higher order movements by using the structure of multiple tangent bundles. In this context the meaning of invariants of polynomials and of matrices is explained. The connection with central and raw moments appearing in probability theory is established作者: 不透氣 時(shí)間: 2025-3-29 11:35 作者: 提名的名單 時(shí)間: 2025-3-29 15:37
https://doi.org/10.1007/978-3-642-57018-6find a connection on .? To approach this question, we consider maximal Cohen—Macaulay (MCM) modules over CM algebras that are isolated singularities, and review an obstruction theory implemented in the computer algebra system Singular. We report on results, with emphasis on singularities of finite and tame CM representation type.作者: 手勢(shì) 時(shí)間: 2025-3-29 20:15 作者: 啜泣 時(shí)間: 2025-3-29 23:54 作者: enmesh 時(shí)間: 2025-3-30 05:17
https://doi.org/10.1007/0-387-30784-2 discussed. The bosonisation technique for switching a Hopf algebra in a braided category . . (.: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.作者: AWRY 時(shí)間: 2025-3-30 10:37
Remarks on Quantizations, Words and R-Matricesuantizations related to the grading are described explicitly. By quantizations of .-matrices in the same manner as braidings we obtain new .-matrices that by construction still satisfy the Yang—Baxter equation.作者: 聽寫 時(shí)間: 2025-3-30 15:51
Connections on Modules over Singularities of Finite and Tame CM Representation Typefind a connection on .? To approach this question, we consider maximal Cohen—Macaulay (MCM) modules over CM algebras that are isolated singularities, and review an obstruction theory implemented in the computer algebra system Singular. We report on results, with emphasis on singularities of finite and tame CM representation type.作者: 范圍廣 時(shí)間: 2025-3-30 18:07
Computing Noncommutative Global Deformations Of D-Modulessider noncommutative deformations of quasi-coherent sheaves of left .-modules on ., and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left ..-module .. when . is any elliptic curve.作者: airborne 時(shí)間: 2025-3-30 23:06 作者: 水汽 時(shí)間: 2025-3-31 00:58
Bosonisation and Parastatistics discussed. The bosonisation technique for switching a Hopf algebra in a braided category . . (.: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.作者: 存在主義 時(shí)間: 2025-3-31 07:17 作者: 休戰(zhàn) 時(shí)間: 2025-3-31 13:06
https://doi.org/10.1007/978-94-017-1147-0Given a physical system (quantum or classical), the collection of all its binary observables (properties) may be viewed as an orthoalgebra. In the quantum case, in contrast to the classical, the orthoalgebra cannot have a “bivaluation” (a morphism ending in a two-element orthoalgebra). An interestin作者: larder 時(shí)間: 2025-3-31 16:14 作者: Hemoptysis 時(shí)間: 2025-3-31 17:31
Toward a Theory of Constitutive Justice,ith .-differential satisfying .. = 0. Having proved that the .th power of a .-connection is the endomorphism of the left B-module F = β?Дд, where A is the subalgebra of elements of grading zero of β, and E is a left я-module, we give the definition of the curvature of a .-connection. We prove that t
