Lie algebra
On Lie algebra crossed modules
... There is still another approach to 3-cohomology; indeed, in the relative set- ting, one fixes not only the quotient Lie algebra g but all the quotient map π : n → g. Considering relative crossed modules ...
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Symmetry and Orbit Detection via Lie-Algebra Voting
... Our Lie algebra voting approach to symmetry and orbit detection maps SE(3) transformations into points in a logarithmic space composed of a rotation part ω ∈ R 3 and a translation part u ∈ R 3 ...
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On a variety related to the commuting variety of a reductive Lie algebra.
... REDUCTIVE LIE ALGEBRA. JEAN-YVES CHARBONNEL Abstract. For a reductive Lie algbera over an algbraically closed field of charasteristic zero, we consider a Borel subgroup B of its adjoint group, a ...
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Hamiltonian B-series and a Lie algebra of non-rooted trees
... a Lie bracket and that e X is a Lie algebra morphism, the Lie bracket on rooted trees being given by antisymmetrizing the pre-Lie ...
8
Projective dimension and commuting variety of a reductive Lie algebra
... [Sh94] I.R. Shafarevich, Basic algebraic geometry 2, Springer-Verlag (1994), Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong-Kong, Barcelona, Budapest. [V72] F.D. Veldkamp, The center of the universal enveloping ...
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ON THE GENERALIZED COMMUTING VARIETIES OF A REDUCTIVE LIE ALGEBRA
... ON THE GENERALIZED COMMUTING VARIETIES OF A REDUCTIVE LIE ALGEBRA. JEAN-YVES CHARBONNEL AND MOUCHIRA ZAITER Abstract. The generalized commuting and isospectral commuting varieties of a reductive Lie ...
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An operad is never free as a pre-Lie algebra
... µ ◦ i ν. The pre-Lie relation reads as such: the composition of two operations on different entries of a third operation does not depend on the order in which the partial compositions are performed, by virtue of ...
6
On some subspaces of the exterior algebra of a simple Lie algebra
... In this note, the base field k is algebraically closed of characteristic 0, g is a simple Lie algebra of finite dimension, ℓ is its rank, and G is its adjoint group. 1.1. Main results. Let b be a Borel ...
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Monomial bases and pre-Lie structure for free Lie algebras
... of Lie algebra over K on the vector space L(A) of all linear transformations of ...pre-Lie algebra A, the bracket [·, ·] satisfies the Jacobi identity, hence induces a structure of Lie ...
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Les Indices des algèbres de Lie et algèbres Hom-Lie
... in Lie algebra theory is to provide invariants and to describe them for a given Lie ...and Lie groups theory is of great interest for both mathematician and physicists (Casimir operators, ...
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Applications de la bi-quantification à la théorie de Lie
... real Lie group, connected and simply connected. Let g the asso- ciated Lie algebra, U (g) the universal enveloping algebra and S(g) the sym- metric ...connected Lie sub-group. As usual ...
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Differential graded Lie groups and their differential graded Lie algebras
... differential Lie algebra A DGLA is a GLA endowed with a square 0 degree 1 ...function algebra that Lie commutes with ...a Lie group with a selected vector field that is compatible with ...
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Coordination on Lie groups
... on Lie groups Alain Sarlette, Silv`ere Bonnabel and Rodolphe Sepulchre Abstract— This paper studies the coordinated motion of a group of agents evolving on a Lie ...Lie algebra. This allows to ...
5
Algebra properties for Besov spaces on unimodular Lie groups
... unimodular Lie groups (and on Riemannian ...the algebra property for L p α (G) ∩ L ∞ (G) when p ∈ (1, +∞) and α > ...1.2 Lie group structure In this paper, G is a unimodular connected Lie ...
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Calculus structure on the Lie conformal algebra complex and the variational complex
... annihilation Lie algebra Lie − R of a finite Lie conformal algebra R to the calculus structure (C • (R, M ), C • (R, M )) which induces an isomorphism of the reduced by ∂ former ...
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Coordinated motion design on Lie groups
... on Lie groups, proceeding as follows. (i) Coordination on Lie groups is defined from first principles of symmetry, distinguishing three variants: left-invariant, right-invariant and biinvariant coordina- ...
12
Lie Theory for Hopf operads
... Hopf algebra– the twisted enveloping algebra of its primitive ...enveloping algebra holds in the category of S-modules - that is, a twisted (associative) algebra is naturally associated to any ...
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Kleene Algebra with Hypotheses
... Warsaw University, MIMUW Abstract. We study the Horn theories of Kleene algebras and star con- tinuous Kleene algebras, from the complexity point of view. While their equational theories coincide and are PSpace-complete, ...
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Lie rackoids integrating Courant algebroids
... dimensional Lie rackoid Y which hosts an inte- gration of the standard Courant ...the Lie rackoid Y and its tangent Leibniz algebroid a quotient of which is the standard Courant ...Weinstein Lie ...
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Compact generation for Lie groupoids
... may be identi ed to an open set of T , therefore the hanges of oordinates in H identify to hanges of oordinates in T , and thus are smooth. Moreover, it is obvious in these parti
ular oordinates that the sour
e and ...
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