Publications of the network - Algebraic Lie Representations

Alev J., Ooms, A. I. and Van den Bergh, M.:

The Gelfand-Kirillov conjecture for algebraic Lie algebras of dimension at most eight, J. Algebra (to appear).

Andersen, H. H.:

A sum formula for tilting filtrations, Proc. of Conference in honour of D. Buchsbaum, Roma 1998 (to appear).

Andersen, H. H:

A sum formula for tilting filtrations, Proc. of Conference in honour of D. Buchsbaum, Rome 1998, J. pure appl. alg.(to appear).

Andersen, H. H and Papadopoulo, G.:

Liftings of quantum tilting modules., Proc. Intern. Conf. Shanghai, 1998 (to appear).

Andersen J. and Turaev, V.:

Higher skein modules, J. of Knot Theory and its Ramifications (to appear).

Backelin, E.:

Koszul duality for parabolic and singular category �ø, Alg. Repr. Theory, 3 (1999), 139-152.

Beligiannis, A.:

Homotopy theory of modules and Gorenstein rings, Math. Scand. (to appear).

Beligiannis, A.:

Homological algebra and purity in triangulated categories., J. Algebra (to appear).

Bruestle,Th., Hille, L., Roehrle, G., Zwara, G.:

Degeneration for parabolic group actions, Adv. Math; (to appear).

Chirivi, R.:

L-S-Algebras and Schubert varieties, J. Transf. Groups (to appear).

Cox, A. and Erdmann, K.:

On Ext2 between Weyl modules for quantum GLn, Proc. Cambridge Phil. Soc. (to appear)

Cuadra, Y., Rozas, G., Torrecillas, B., Van Oystaeyen, F.:

On the Brauer group of a cocommutative coalgebra, (Comp. in Algebra).

Farber, M. and Turaev, V.:

Poincaré-Reidmeister metric, Euler structures, and Torsion, J. reine angew. Math (to appear).

Farber, M. and Turaev, V.:

Absolute torsion, Contemp. Math. 231 (1999), 73-85.

Fauquant-Millet, F.:

Quantification de la localisation de Dixmier de U(sln+1(–)), J. Algebra (to appear).

Gomez-Larranaga, J.C., Gonzales-Acuna, F. and Turaev, V.:

Homology categories of 3-manifolds, Topology and Applications 95 (1999), 217-228.

Gorelik, M. and Lanzmann, E.:

The annihilation theorem for the Lie superalgebra osp(1,2l), C. R. Acad. Sci. Paris, 327, Série I (1998), 237-242.

Gorelik, M. and Lanzmann, E.:

The annihilation theorem for completely reducible Lie superalgebras, Invent. Math. 137 (3) (1999), 651-680.

Günzl, K.:

The fine structure of translation functors, Alg. Repr. Theory 3 (1999), 223-249.

Jensen, J.G.:

Exactness of the rank one quantum induction functor, Math. Scand., 84 (1999), 40-48.

Jensen, J.G.:

On the character of some modular indecomposable modules for SL(3), J. Algebra (to appear).

Joseph, A.:

On the mock Peter-Weyl theorem and Drinfeld double of a double, J. reine angew. Math. 507 (1999), 37-56.

Joseph, A.:

A completion of the quantized enveloping algebra of a Kac-Moody algebra, J. Algebra, 214 (1999), 235-275.

Joseph, A.:

The admissibility of simple bounded modules for an affine Lie algebra, Alg. Repr. Theory (to appear).

Kapranov, M. and Vasserot, E.:

Kleinian singularities, derived categories and Hall algebras, Math. Ann. (to appear).

Kassel, C., Turaev, V.:

Biquantization of Lie bialgebras, Pac. J. Math. (to appear).

Kassel, C., Lascoux, A. and Reutenauer, C.:

Factorizations in Schubert cells, Adv. Math. (to appear).

Kumar,S., Lauritzen, N. and Thomsen, J.F.:

Frobenius splitting of cotangent bundles of flag varieties and geometry of nilpotent cones, Invent. Math. 136 (1999), 603-621.

Kumar, S. and Littelmann, P.:

Frobenius splitting in characteristic zero and the quantum Frobenius map, Proc. of Conference in honour of D. Buchsbaum, Rome 1998, J. pure appl. alg. (to appear).

Kurlburg, P.:

The distribution of spacings between quadratic residues, II. Israel J. math. (to appear).

Kurlburg, P. and Rudnick, Z.:

Hecke theory and equidistribution for quantization of linear maps of the torus, Duke J. (to appear).

Lakshmibai, V., Littelmann, P. and Magyar, P.:

Standard monomial theory and applications, in Representation Theories and Algebraic Geometry, B. Broer (ed.) Kluwer Academic Publishers, NATO Scientific Affairs, 1998.

Leclerc, B.,Thibon, J-Y.and Vasserot, E.:

Zelevinski's involution at roots of unity, J. reine angew. Math. 513 (1999), 33-51.

Littelmann, P.:

The path model, the quantum Frobenius map and standard monomial theory. In Algebraic Groups and Their Representations, R. Carter and J. Saxl (eds.), Kluwer Academic Publishers (1998).

Mathieu, O.:

Positivity of some intersection in K0(G/B).Proc. of Conference in honour of D. Buchsbaum, Rome 1998, J. pure appl. alg. (to appear).

Nazarov, M.:

Capelli elements in the classical universal enveloping algebra, to appear in Combinatorial methods in Representation theory, Advanced Studies in Pure Mathematics.

Molev, A. and Nazarov, M.:

Capelli identities for classical Lie algebras. Math. Ann. 31 (1999), 315-357.

Natanzon, S. and Turaev, V.:

A compactification of the Hurwitz space, Topology 38 (1999), 889-914.

Nazarov, M.:

Yangians of the queer Lie superalgebra, comm. math. phys. (to appear).

Reznikov, A.:

Non-vanishing of periods of automorphic functions, Forum Mathematicum (to appear).

Rosso, M.:

Lyndon words and universal R-Matrices

Rosso, M.:

Alexander polynomial and Koszul resolution, Algebra Montpellier Announcements (to appear).

Schiffman, O. and Vasserot, E.:

Geometric construction of the global base of the quantum modified algebra of GL(N). Transf. Groups (to appear).

Soergel, W.:

On the relation of intersection cohomology and representation theory in positive characteristic. Proc. of Conference in honour of D. Buchsbaum, Roma 1998 (to appear).

Van Oystaeyen, F.:

Algebraic Geometry for Associative Algebras, Monograph in Math. M. Decker, New York (to appear).

Vasserot, E.:

Affine quantum groups and equivariant K-theory, J. Transf. Groups, 3 (1998), 269-299.

Varagnolo, M. and Vasserot, E.:

Decomposition matrices of quantized Schur algebras, Duke Math. J. (to appear).

Varagnolo, M. and Vasserot, E.:

On the K-theory of the cyclic quiver variety, Int. Math. Res. Notes (to appear).

In the pipeline

Andersen, H.H. and Kaneda, M.:

Filtrations of G1T-modules.

Backelin, E.:

On the dual of a Whittaker module.

Baumann, P. and Kassel, C.:

The Hall algebra of the category of coherent sheaves on the projective line.

Bazlov, Y.:

Graded multiplicities in the exterior algebra.

Beck, J.:

Beligiannis, A.:

Purity and almost split morphisms in abstract homotopy categories.

Caldero, P.:

On harmonic elements for semisimple Lie algebras.

Cuadra, Y. and Van Oystaeyen, F.:

Invariants of Coalgebras.

Farber, M. and Turaev, V.:

Poincaré-Reidmeister metric, Euler structures, and Torsion.

Fauquant-Millet, F. and Joseph, A.:

Semi-invariants de l'algebre enveloppante quantifi�ée d'une sous-algebre parabolique.

Ginosar, Y. and Schmidmeier, M.:

Schur subalgebras of group algebras in positive characteristic.

Greenstein, J.:

Characters of bounded sl(2) modules.

Greenstein, J.:

Characters of bounded modules.

Gorelik, M.:

The ghost centre of a Lie superalgebra.

Gorelik, M. and Lanzmann, E.:

The minimal primitive spectrum of the enveloping algebra of the Lie superalgebra osp(1,2l).

Jensen, J.G. and Mathieu, O.:

On the three-lines representations of the symmetric group.

Joseph, A.:

On the Kostant-Parthasarathy-Ranga Rao-Varadarajan, determinants, Part I.

Joseph, A., Letzter, G. and Zelikson, S.:

On the Brylinski-Kostant filtration.

Joseph, A. and Todoric, D.:

On the quantum KPRV determinants for semisimple and affine Lie algebras.

Kapranov, M. and Vasserot, E.:

Kleinian singularities, derived categories and Hall algebras.

Koenig, S., Slungaard, I. and Xi, C.:

Double centralizer properties, dominant dimension and tilting modules.

Koelink, E. and Stokman, J.V.:

The big q-Jacobi function transform.

Kumar, S., Littelmann, P.:

Algebraization of Frobenius splitting via quantum groups.

Kumar, S. and Thomsen, J.F.:

Frobenius splitting of cotangent bundles of flag varieties.

Kurlburg, P., Rudnick, Z.:

Eigenfunctions of the quantized cat map.

Lanzmann, E.:

The Zhang transformation and the annhilation theorem for the quantum enveloping algebra of the Lie superalgebra osp(1,2l).

Levasseur, T.:

Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra.

Mercat, C.:

Discrete Riemann surfaces.

Nazarov, M.:

Mixed hook-length formula for affine Hecke algebras.

Reineke, M.:

Feigin's map and monomial bases for quantized enveloping algebras.

Schmidmeier, M.:

The Finite Length modules for thin P-graded rings.

Schmidmeier, M.:

A family of Noetherian rings with their finite length modules under control.

Sevenhant, B.:

The absolute indecomposable representations of a quiver over a finite field.

Thomsen, J.F.:

Normality of certain nilpotent varities in positive characteristic.

Varagnolo, M. and Vasserot, E.:

Canonical bases and the Lusztig conjecture for quantized SL(N) at roots of unity.