Prime factorization of integral Cayley octaves
Prime nondegenerate Jordan algebras with nonzero socle and the symmetric Martindale algebra of quotients.
Primitive Ideals and Orbital Integrals in Complex Classical Groups.
Primitive Ideals and Symplectic Leaves of Quantum Matrices
It is proved that there exists a bijection between the primitive ideals of the algebra of regular functions on quantum m × n-matrices and the symplectic leaves of associated Poisson structure.
Problems in the theory of quantum groups
This is a collection of open problems in the theory of quantum groups. Emphasis is given to problems in the analytic aspects of the subject.
Produced representations of Lie algebras and superfields
Product formulas for modular forms on
Product structures on four dimensional solvable Lie algebras.
Produit tensoriel de matrices, homologie cyclique, homologie des algèbres de Lie
On munit, naturellement, d’un surproduit l’algèbre extérieure de l’homologie cyclique d’une -algèbre commutative ( étant un corps de caractéristique zéro) à l’aide du produit de Loday-Quillen. On munit d’un surproduit l’homologie de l’algèbre de Lie du groupe linéaire général de à l’aide du produit tensoriel de matrices. On montre que l’isomorphisme d’algèbres de Hopf de Loday-Quillen est compatible avec les surproduits définis ci-dessus. On obtient ainsi une interprétation du produit de Loday-Quillen,...
Produkt von Formen.
Projections of singular vectors of Verma modules over rank 2 Kac-Moody Lie algebras.
Projective homogeneous varieties birational to quadrics.
Projective Modules over Graded Lie Algebras. I.
Projective reparametrization of homogeneous curves
We study the conditions when locally homogeneous curves in homogeneous spaces admit a natural projective parameter. In particular, we prove that this is always the case for trajectories of homogeneous nilpotent elements in parabolic spaces. On algebraic level this corresponds to the generalization of Morozov–Jacobson theorem to graded semisimple Lie algebras.
Projectively equivariant quantization and symbol on supercircle
Let be the space of linear differential operators on weighted densities from to as module over the orthosymplectic Lie superalgebra , where , is the space of tensor densities of degree on the supercircle . We prove the existence and uniqueness of projectively equivariant quantization map from the space of symbols to the space of differential operators. An explicite expression of this map is also given.
Projektive Ebenen mit Homomorphismus und erweiterte lokale Ternärringe
Promotion operator on rigged configurations of type .
Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture.
Proof of Verma's Conjecture on Weyl's Dimension Polynomial.
Properties of a 29-Dimensional Simple Lie Algebra of Characteristics Three.