Models of quadratic algebras generated by superintegrable systems in 2D.
Models of representations of some classical supergroups.
Modular annihilator Jordan pairs.
Modular Bernstein algebras.
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.
Modular Classes of Q-Manifolds, Part II: Riemannian Structures Odd Killing Vectors Fields
We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume.
Modular Forms and Root Systems.
Modular vector fields and Batalin-Vilkovisky algebras
We show that a modular class arises from the existence of two generating operators for a Batalin-Vilkovisky algebra. In particular, for every triangular Lie bialgebroid (A,P) such that its top exterior power is a trivial line bundle, there is a section of the vector bundle A whose -cohomology class is well-defined. We give simple proofs of its properties. The modular class of an orientable Poisson manifold is an example. We analyse the relationships between generating operators of the Gerstenhaber...
Modularität und Distributivität im Subidealverband einer Lie-Algebra
Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue
Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue.
Modules of finite virtual projective dimension.
Modules over the 4-dimensional Sklyanin algebra
Modules simples sur une algèbre de Lie nilpotente contenant un vecteur propre pour une sous-algèbre
Moduli of unipotent representations I: foundational topics
With this work and its sequel, Moduli of unipotent representations II, we initiate a study of the finite dimensional algebraic representations of a unipotent group over a field of characteristic zero from the modular point of view. Let be such a group. The stack of all representations of dimension is badly behaved. In this first installment, we introduce a nondegeneracy condition which cuts out a substack which is better behaved, and, in particular, admits a coarse algebraic space, which...
Moduln und Radikale von nichtassoziativen Ringen.
Monodromy representations of braid groups and Yang-Baxter equations
Motivated by the two dimensional conformal field theory with gauge symmetry, we shall study the monodromy of the integrable connections associated with the simple Lie algebras. This gives a series of linear representations of the braid group whose explicit form is described by solutions of the quantum Yang-Baxter equation.
Monomial crystals and partition crystals.
Monotone Functions on Formally Real Jordan Algebras.
Monstrous moonshine and monstrous Lie superalgebras.
Moore-Penrose inverse, parabolic subgroups, and Jordan pairs.