Basic Representations of Affine Lie Algebras and Dual Resonance Models.
Bell's primeness criterion for .
Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen.
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras.
BGG diagrams for contact graded odd dimensional orthogonal geometries
BGG resolutions via configuration spaces
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.
Bialgebra structures on a real semisimple Lie algebra.
Bicovariant differential calculi and cross products on braided Hopf algebras
In a braided monoidal category C we consider Hopf bimodules and crossed modules over a braided Hopf algebra H. We show that both categories are equivalent. It is discussed that the category of Hopf bimodule bialgebras coincides up to isomorphism with the category of bialgebra projections over H. Using these results we generalize the Radford-Majid criterion and show that bialgebra cross products over the Hopf algebra H are precisely described by H-crossed module bialgebras. In specific braided monoidal...
Bicrossproduct Hopf quasigroups
We recall the notion of Hopf quasigroups introduced previously by the authors. We construct a bicrossproduct Hopf quasigroup from every group with a finite subgroup and IP quasigroup transversal subject to certain conditions. We identify the octonions quasigroup as transversal in an order 128 group with subgroup and hence obtain a Hopf quasigroup as a particular case of our construction.
Bigèbres de Lie, doubles et carrés
Binary Lie algebras satisfying the third Engel condition.
Binary operations in classical and quantum mechanics
Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.
Bounded degree of weakly algebraic topological Lie algebras.
Braided Groups
Braided modules and reflection equations
We introduce a representation theory of q-Lie algebras defined earlier in [DG1], [DG2], formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.
Braided tensor product and Lie algebra in a braided category. (Produit tensoriel tressé et algèbre de Lie dans une catégorie tressée.)
BRST charge and Poisson algebras.
-structure on the Cohomology of the Free 2-Nilpotent Lie Algebra
Calcolo della funzione di partizione di Kostant
Forniamo un calcolo esplicito della funzione di partizione di Kostant per algebre di Lie complesse di rango . La tecnica principale consiste nella riduzione a casi più semplici ed all'uso di funzioni generatrici.
Calculating canonical distinguished involutions in the affine Weyl groups.