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Displaying 1 – 20 of 31

$P$ -partitions and a multi-parameter Klyachko idempotent.

McNamara, Peter, Reutenauer, Christophe (2005)

The Electronic Journal of Combinatorics [electronic only]

Parity sheaves, moment graphs and the $p$ -smooth locus of Schubert varieties

Peter Fiebig, Geordie Williamson (2014)

Annales de l’institut Fourier

We show that the Braden-MacPherson algorithm computes the stalks of parity sheaves. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the $p$ -smooth locus of a (Kac-Moody) Schubert variety coincides with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.

Parking functions of types A and B.

Biane, P. (2002)

The Electronic Journal of Combinatorics [electronic only]

Partition identities with an application to group representation theory.

Jorn B. Olsson, George E. Andrews (1991)

Journal für die reine und angewandte Mathematik

Partitions, q-Series and the Lusztig-Macdonald-Wall Conjectures.

George E. Andrews (1977)

Inventiones mathematicae

p-Brauer characters of q-Defect 0.

Wolfgang Willems, Gabriel Navarro (1994)

Manuscripta mathematica

Permutation modules and projective resolutions.

James Howie, Hans R. Schneebeli (1981)

Commentarii mathematici Helvetici

Phantom maps and purity in modular representation theory, I

D. Benson, G. Gnacadja (1999)

Fundamenta Mathematicae

Let k be a field and G a finite group. By analogy with the theory of phantom maps in topology, a map f : M → ℕ between kG-modules is said to be phantom if its restriction to every finitely generated submodule of M factors through a projective module. We investigate the relationships between the theory of phantom maps, the algebraic theory of purity, and Rickard's idempotent modules. In general, adding one to the pure global dimension of kG gives an upper bound for the number of phantoms we need...

Phénomène de cutoff pour certaines marches aléatoires sur le groupe symétrique

Sandrine Roussel (2000)

Colloquium Mathematicae

The main purpose of this paper is to exhibit the cutoff phenomenon, studied by Aldous and Diaconis [AD]. Let $Q^{* k}$ denote a transition kernel after k steps and π be a stationary measure. We have to find a critical value $k_{n}$ for which the total variation norm between $Q^{* k}$ and π stays very close to 1 for $k ≪ k_{n}$ , and falls rapidly to a value close to 0 for $k \geq k_{n}$ with a fall-off phase much shorter than $k_{n}$ . According to the work of Diaconis and Shahshahani [DS], one can naturally conjecture, for a conjugacy class with...

Plane curves associated to character varieties of 3-manifolds.

M. Culler, H. Gillet, D. Cooper (1994)

Inventiones mathematicae

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...

Pointed Groups and Construction of Characters.

Lluis Puig (1981)

Mathematische Zeitschrift

Polynomial identities of nil algebras of bounded index

Francesca Benanti, Vesselin Drensky (1999)

Bollettino dell'Unione Matematica Italiana

Lo scopo di questo lavoro è di dare una nuova descrizione del $T$ -ideale generato dalla nil-identità $x^{n} = 0$ come immagine omeomorfa della $n$ -esima potenza tensoriale simmetrica dell'algebra associativa libera $K 〈X〉$ su un campo $K$ di caratteristica $0$ . Come applicazione calcoliamo il carattere delle conseguenze multilineari di grado $\leq n + 2$ dell'identità $x^{n} = 0$ .

Polynomial Maps on Groups. II.

Inder Bir S. Passi (1973/1974)

Mathematische Zeitschrift

Prime Characters and Factorizations of Quasi-Primitive Characters.

Alexandre Turull, Pamela A. Ferguson (1985)

Mathematische Zeitschrift

Primitive Characters, Normal Subgroups, and M-Groups.

Martin Isaacs (1981)

Mathematische Zeitschrift

Primitive characters of subgroups of M-groups.

Gabriel Navarro (1995)

Mathematische Zeitschrift

Primitive idempotents and the socle in group rings of periodic abelian groups

J. S. Richardson (1976)

Compositio Mathematica

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

Erhan Güzel (1992)

Mathematica Scandinavica

Principal blocks and $p$ -radical groups

Xiaohan Hu, Jiwen Zeng (2016)

Czechoslovak Mathematical Journal

Let $G$ be a finite group and $k$ a field of characteristic $p > 0$ . In this paper, we obtain several equivalent conditions to determine whether the principal block $B_{0}$ of a finite $p$ -solvable group $G$ is $p$ -radical, which means that $B_{0}$ has the property that $e_{0} {(k_{P})}^{G}$ is semisimple as a $k G$ -module, where $P$ is a Sylow $p$ -subgroup of $G$ , $k_{P}$ is the trivial $k P$ -module, ${(k_{P})}^{G}$ is the induced module, and $e_{0}$ is the block idempotent of $B_{0}$ . We also give the complete classification of a finite $p$ -solvable group $G$ which has not more than three...

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