Results 21 to 30 of about 19,149 (335)
L-infinity maps and twistings [PDF]
, 2011 We give a construction of an L-infinity map from any L-infinity algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A-infinity analogues.
Chuang, Joseph, Lazarev, Andrey
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On Equality of Certain Derivations of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2019 Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita +2 more
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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum
Jambura Journal of Mathematics, 2023 The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi +2 more
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Theory and Applications of Categories, 2023 Summary: The category \(\mathbf{LAlg}\) of \(L\)-algebras is shown to be complete and cocomplete, regular with a zero object and a projective generator, normal and subtractive, ideal determined, but not Barr-exact. Originating from algebraic logic, \(L\)-algebras arise in the theory of Garside groups, measure theory, functional analysis, and operator ...
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W $$ \mathcal{W} $$ algebras are L∞ algebras [PDF]
Journal of High Energy Physics, 2017 Abstract It is shown that the closure of the infinitesimal symmetry transformations underlying classical W $$ \mathcal{W} $$ algebras give rise to L∞ algebras with in general field dependent gauge parameters. Therefore, the class of well understood W $$ \mathcal{W} $$ algebras provides highly nontrivial examples of such strong homotopy Lie algebras. We
Blumenhagen, Ralph +2 more
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Order topologies on l-algebras
Topology and its Applications, 2004 The order topology and abstractions of the order topology are studied in the setting of lattice-ordered algebras. The order topology is characterized as the topology defined by all lattice seminorms. A seminorm is said be a lattice seminorm if \(q(x)\leq q(y)\) whenever \(| x| \leq| y| \). It is important in the context of algebras to consider m-convex
Montalvo, F. +2 more
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Homotopy algebras inspired by classical open-closed string field theory [PDF]
, 2004 We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's deformation ...
Kajiura, Hiroshige, Stasheff, Jim
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Combinatorics and formal geometry of the master equation [PDF]
, 2012 We give a general treatment of the master equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures.
Andrey Lazarev +6 more
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On ideals and contraideals in Leibniz algebras
Доповiдi Нацiональної академiї наук України, 2023 A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal.
L.A. Kurdachenko +2 more
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BFV-complex and higher homotopy structures [PDF]
, 2008 We present a connection between the BFV-complex (abbreviation for Batalin-Fradkin-Vilkovisky complex) and the so-called strong homotopy Lie algebroid associated to a coisotropic submanifold of a Poisson manifold. We prove that the latter structure can be
A. Schwarz +17 more
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