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Displaying 241 – 260 of 402

p-adic deformations of cohomology classes of subgroups of GL (N,Z).

Avner Ash, Glenn Stevens (1997)

Collectanea Mathematica

Partial flag varieties and preprojective algebras

Christof Geiß, Bernard Leclerc, Jan Schröer (2008)

Annales de l’institut Fourier

Let $Λ$ be a preprojective algebra of type $A, D, E$ , and let $G$ be the corresponding semisimple simply connected complex algebraic group. We study rigid modules in subcategories $Sub Q$ for $Q$ an injective $Λ$ -module, and we introduce a mutation operation between complete rigid modules in $Sub Q$ . This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to $G$ .

Periodic Simple Modules for SU3(q2) in the Describing Characteristic p...2.

Peter Fleischmann (1988)

Mathematische Zeitschrift

Platitude du module universel pour ${GL}_{3}$ en caractéristique non banale

Joël Bellaïche, Ania Otwinowska (2003)

Bulletin de la Société Mathématique de France

Soient $F$ un corps $p$ -adique, $G = {GL}_{3} (F)$ . Pour $χ$ un caractère de l’algèbre de Hecke sphérique de $G$ sur un anneau commutatif $k$ , on introduit à la suite de Serre une représentation lisse $M_{χ}$ de $G$ sur $k$ qui gouverne la théorie des représentations non ramifiées de $G$ sur $k$ . Nous prouvons que $M_{χ}$ est plat sur $k$ et que si $p$ est inversible dans $k$ , alors pour tout sous-groupe compact ouvert suffisament petit $U$ de $G$ , le module $M_{χ}^{U}$ est libre de rang fini sur $k$ . Ceci était conjecturé par Lazarus. Comme corollaire, nous obtenons...

Poincaré Series of Binary Polyhedral Groups and McKay's Correspondence.

T.A. Springer (1987)

Mathematische Annalen

Polynomial invariants of representations of quivers.

Steven Donkin (1994)

Commentarii mathematici Helvetici

Power reductivity over an arbitrary base.

Franjou, Vincent, van der Kallen, Wilberd (2010)

Documenta Mathematica

Primitive Idempotents of the Group Algebra CSL(3,q).

Erhan Güzel (1992)

Mathematica Scandinavica

Principal Orbit Types for Algebraic Transformation Spaces in Characteristic Zero.

R.W. Jr. Richardson (1972)

Inventiones mathematicae

Projective resolutions of representations of GL (n).

Burt Totaro (1997)

Journal für die reine und angewandte Mathematik

Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture.

Shrawan Kumar (1988)

Inventiones mathematicae

Propriétés nouvelles des tableaux de Young

Marcel Schützenberger (1977/1978)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Quelques applications de la cohomologie d'intersection

T. A. Springer (1981/1982)

Séminaire Bourbaki

Quelques résultats de finitude en théorie des invariants

Jacques Dixmier (1985/1986)

Séminaire Bourbaki

Quiver varieties and the character ring of general linear groups over finite fields

Emmanuel Letellier (2013)

Journal of the European Mathematical Society

Given a tuple $(𝒳_{1}, ..., 𝒳_{k})$ of irreducible characters of $G L_{n} (F_{q})$ we define a star-shaped quiver $Γ$ together with a dimension vector $v$ . Assume that $(𝒳_{1}, ..., 𝒳_{k})$ is generic. Our first result is a formula which expresses the multiplicity of the trivial character in the tensor product $𝒳_{1} \otimes \dots \otimes 𝒳_{k}$ as the trace of the action of some Weyl group on the intersection cohomology of some (non-affine) quiver varieties associated to $(Γ, v)$ . The existence of such a quiver variety is subject to some condition. Assuming that this condition is satisfied, we...

Quiver varieties and Weyl group actions

George Lusztig (2000)

Annales de l'institut Fourier

The cohomology of Nakajima’s varieties is known to carry a natural Weyl group action. Here this fact is established using the method of intersection cohomology, in analogy with the definition of Springer’s representations.

Currently displaying 241 – 260 of 402