Coloured generalised Young diagrams for affine Weyl-Coxeter groups.
Combinaisons non-associatives
Combinatorial bases of modules for affine Lie algebra B 2(1)
We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B 2(1) consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces W(Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W(kΛ0) for B 2(1) and the integrable highest weight module L(kΛ0) for A 1(1) have the same parametrization of combinatorial bases...
Combinatorial constructions of weight bases: the Gelfand-Tsetlin basis.
Combinatorial interpretations for rank-two cluster algebras of affine type.
Combinatorics, superalgebras, invariant theory and representation theory.
Commentary to: Generalized derivations of Lie triple systems
Comments on the Links Between Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards
Commutativité et caractérisations du radical des algèbres non associatives.
Commutator algebras arising from splicing operations
We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation, and...
Commutator representations of covariant differential calculi
Commuting difference operators with polynomial eigenfunctions
Commuting varieties of semisimple Lie algebras and algebraic groups
Comparaison des homologies du groupe linéaire et de son algèbre de Lie
Pour un anneau local l’homologie du groupe discret a un comportement tout à fait analogue à l’homologie de l’algèbre de Lie lorsque est une algèbre associative sur un corps de caractéristique zéro. L’objet de cet article est de faire une synthèse (sans démonstration) des résultats connus sur ces groupes d’homologie en exhibant leurs liens avec la -théorie algébrique, l’homologie cyclique et la cohomologie motivique. On y pose un certain nombre de questions et on propose une définition pour...
Complete filtered Lie algebras over a vector space of dimension two.
Complete polynomial vector fields in a ball.
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
Completing Lie algebra actions to Lie group actions.
Complex borel structure in JC-algebras.
Complex nilpotent Lie algebras of dimension 7 which are not derived from others.