Manifolds of smooth maps IV : theorem of De Rham
Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products
Let 𝓛 be a subspace lattice on a Banach space X and let δ: Alg𝓛 → B(X) be a linear mapping. If ⋁ {L ∈ 𝓛 : L₋ ⊉ L}= X or ⋁ {L₋ : L ∈ 𝓛, L₋ ⊉ L} = (0), we show that the following three conditions are equivalent: (1) δ(AB) = δ(A)B + Aδ(B) whenever AB = 0; (2) δ(AB + BA) = δ(A)B + Aδ(B) + δ(B)A + Bδ(A) whenever AB + BA = 0; (3) δ is a generalized derivation and δ(I) ∈ (Alg𝓛)'. If ⋁ {L ∈ 𝓛 : L₋ ⊉ L} = X or ⋁ {L₋ : L ∈ 𝓛, L₋ ⊉ L} = (0) and δ satisfies δ(AB + BA) = δ(A)B + Aδ(B) + δ(B)A + Bδ(A)...
Matched pairs and extensions of Lie bialgebras.
Maticové Lieovy grupy a Lieovy algebry
Matrici simmetriche quantiche e teoria delle rappresentazioni
Matrix canonical realizations of the Lie algebra . I. Basic formulæ and classification
Matrix coefficients and a Weyl correspondence for nilpotent Lie groups.
Matrix Integrals, Toda Symmetries, Virasoro Constraints and Orthogonal Polynomials
Matrix representations for low dimensional Lie algebras.
Maximal ideals in the Lie algebra of vector fields
Maximal solvable extensions of filiform algebras
It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded. Here we present an alternative derivation of this result.
Measured quantum groupoids associated with matched pairs of locally compact groupoids
Generalizing the notion of matched pair of groups, we define and study matched pairs of locally compact groupoids endowed with Haar systems, in order to give new examples of measured quantum groupoids.
Mémoire de Bertram Kostant sur les applications de la cohomologie des algèbres de Lie réductives
Minimal realizations of classical simple Lie algebras through deformations
Miura opers and critical points of master functions
Critical points of a master function associated to a simple Lie algebra come in families called the populations [11]. We prove that a population is isomorphic to the flag variety of the Langlands dual Lie algebra . The proof is based on the correspondence between critical points and differential operators called the Miura opers. For a Miura oper D, associated with a critical point of a population, we show that all solutions of the differential equation DY=0 can be written explicitly in terms...
Möbius inversion for the Bruhat ordering on a Weyl group
Modèle de Whittaker et ideaux primitifs complètement premiers dans les algèbres enveloppantes des algèbres de Lie semisimples complexes II.
Modèles minimaux pour les algèbres de chaines
Models of quadratic algebras generated by superintegrable systems in 2D.
Modular classes of Q-manifolds: a review and some applications
A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold – which is viewed as the obstruction to the existence of a Q-invariant Berezin volume – is not well know. We review the basic ideas and then apply this technology to various examples, including -algebroids and higher Poisson manifolds.