Représentations indécomposables de dimension finie des algèbres de Lie.
Représentations matricielles des séries d'arbre reconnaissables
Representations of codimension one non-abelian nilradical Lie algebras.
Representations of Coxeter Groups and Hecke Algebras.
Representations of forms of a Kac-Moody algebra. (Représentations des formes d'une algèbre de Kac-Moody.)
Representations of Jordan algebras and special functions
This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
Representations of quantum algebras.
Representations of quantum algebras (Addendum).
Representations of quantum algebras. The mixed case.
Representations of quantum groups and (conditionally) invariant q-difference equations
We give a systematic discussion of the relation between q-difference equations which are conditionally -invariant and subsingular vectors of Verma modules over (the Drinfeld-Jimbo q-deformation of a semisimple Lie algebra over ℂg or ℝ). We treat in detail the cases of the conformal algebra, = su(2,2), and its complexification, = sl(4). The conditionally invariant equations are the q-deformed d’Alembert equation and a new equation arising from a subsingular vector proposed by Bernstein-Gel’fand-Gel’fand....
Representations of at the roots of unity
In this paper we study the irreducible finite dimensional representations of the quantized enveloping algebra associated to , at the roots of unity. It is known that these representations are parametrized, up to isomorphisms, by the conjugacy classes of the group . We get a complete classification of the representations corresponding to the submaximal unipotent conjugacy class and therefore a proof of the De Concini-Kac conjecture about the dimension of the -modules at the roots of in the...
Representations of solvable Lie algebras. II. Twisted group rings
Representations of the Lie ring over the ring of integers.
Representations of the quantum algebra and discrete -ultraspherical polynomials.
Representations with cohomology in the discrete spectrum of subgroups of and Lefschetz numbers
Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
Reshetikhin-Turaev invariants of Seifert 3-manifolds and a rational surgery formula.
Resolutions of singularities of varieties of Lie algebras of dimensions 3 and 4.
Restricted and quasi-toral restricted Lie-Rinehart algebras
In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension should be....
Restricted Lie algebras with bounded cohomology and related classes of algebras.