Hasil untuk "math.RT"

Andrew Hubery

We show that the Auslander-Reiten Formula for a finite dimensional hereditary algebra is invariant under the Auslander-Reiten translate.

G. Lusztig

We define a subset of the set of special representations of a Weyl group. This subset contains at most one representation.

Qi Wang

In this paper, we complete the classification of representation-finite tensor product algebras in terms of quiver with relations.

Alexander R. Miller

The characters $χ(π)$ of $S_n$ that depend only on the number of cycles of $π$ are completely determined.

Cheng Shu

We compute the character table of $\text{GL}_n(\mathbb{F}_q)\rtimes\!<\!σ\!>\!$, $σ$ being an order 2 exterior automorphism.

Nisha Sharma, Amiya K. Pani, Kapil K. Sharma

Fernando Szechtman, Anatoliy Tushev

Necessary and sufficient conditions for a group to possess a faithful irreducible representation are investigated

Chaowen Zhang

A sufficient condition for the simplicity of induced modules of reductive Lie algebras is given.

Alexander Kleshchev

These are partial lecture notes from the fifteen Essén Lectures for graduate students at Uppsala University given (in four days!) in June 2013.

Ruslan Maksimau

We give a construction of a basis of the positive part of the Drinfeld-Jimbo quantum enveloping algebra associated with a Dynkin quiver in terms of parity sheaves.

Yuanyang Zhou

A false application of Proposition 4.10 causes a mistake in the proof of Corollary 4.11

Markus Linckelmann

We show that dualising transfer maps in Hochschild cohomology of symmetric algebras commutes with Tate duality. This extends a well-known result in group cohomology.

Noriyuki Abe, Yoichi Mieda

We give an action of $N$ on the geometric Jacquet functor defined by Emerton-Nadler-Vilonen.

Yang Han

It is shown that the derived dimension of any representation-finite Artin algebra is at most one.

Mustapha Raïs

Explicit generators are given for the ring of invariant polynomials under the coadjoint representation of certain inhomogeneous groups.

Victor Ginzburg

This is an expanded version of lectures given at a Summer School "Geometric methods in Representation Theory" (Grenoble, 2008).

Akihiko Yukie

In this paper, we determine the rational orbit decomposition for two prehomogeneous vector spaces associated with the simple group of type G_2.

Nicolas Jacon

This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.

G. Lusztig

The main theme of this paper is establishing the "generalized Springer correspondence" in complete generality that is, for not necessarily connected reductive algebraic groups.

Alexandre Kirillov, Alexander Kirillov

This is an overview article on compact Lie groups and their representations, written for the Encyclopedia of Mathematical Physics to be published by Elsevier.