2,613 research outputs found
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Representations of Finite Groups
No full textThe workshop "Representations of Finite Groups" was organised by Joseph Chuang (London), Markus Linckelmann (Aberdeen), Gunter Malle (Kaiserslautern) and Jeremy Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras
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Representations of Finite Groups
No full textThe workshop Representations of Finite Groups was organised by Joseph Chuang (London), Meinolf Geck (Stuttgart), Markus Linckelmann (London), and Gabriel Navarro (Valencia). It covered a wide variety of aspects of the representation theory of finite groups and related objects, such as algebraic groups
Recommended from our members
Representations of Finite Groups
No full textThe workshop Representations of Finite Groups was organised by Joseph Chuang (London), Markus Linckelmann (Aberdeen), Gunter Malle (Kaiserslautern) and Jeremy Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras. A particular focus was placed on the rapidly evolving area of fusion systems
Representations of Finite Groups
No full textThe workshop Representations of Finite Groups was organised by Joseph Chuang (London), Markus Linckelmann (Aberdeen), Gunter Malle (Kaiserslautern) and Jeremy Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras. A particular focus was placed on the rapidly evolving area of fusion systems
On the Lie algebra structure of HH1(A) of a finite-dimensional algebra A
No full textLet A be a split finite-dimensional associative unital algebra over a field. The first main result of this note shows that if the Ext-quiver of A is a simple directed graph, then HH1(A) is a solvable Lie algebra. The second main result shows that if the Ext-quiver of A has no loops and at most two parallel arrows in any direction, and if HH1(A) is a simple Lie algebra, then char(k)= 2 and HH1(A) ∼= sl2(k). The third result investigates symmetric algebras with a quiver which has a vertex with a single loop
Quillen stratification for block varieties
No full textAbstractThe classical results on stratifications for cohomology varieties of finite groups and their modules due to Quillen (Ann. Math. 94 (1971) 549–572; 573–602) and Avrunin–Scott (Invent. Math. 66 (1982) 277–286) carry over to the varieties associated with finitely-generated modules over p-blocks of finite groups, introduced in Linckelmann (J. Algebra 215 (1999) 460–480)
Representations of Finite Groups
No full textThe workshop ”Representations of finite groups” was organized by A. Kleshchev (Eugene), M. Linckelmann (Aberdeen), G. Malle (Kaiserslautern) and J. Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras
Recommended from our members
Representations of Finite Groups
No full textThe workshop ”Representations of finite groups” was organized by A. Kleshchev (Eugene), M. Linckelmann (Aberdeen), G. Malle (Kaiserslautern) and J. Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras
On the graded center of the stable category of a finite p-group
No full textAbstractWe show that for any finite p-group P of rank at least 2 and any algebraically closed field k of characteristic p the graded center Z∗(mod¯(kP)) of the stable module category of finite-dimensional kP-modules has infinite dimension in each odd degree, and if p=2, also in each even degree. In particular, this provides examples of symmetric algebras A for which Z0(mod¯(A)) is not finite-dimensional, answering a question raised in Linckelmann (in press) [1]
The Dade group of a fusion system.
No full textWe define the notion of the Dade group of a fusion system and show that some of the gluing and detection results for Dade groups of finite p-groups due to Bouc and Thévenaz in [S. Bouc and J. Thévenaz. Gluing torsion endo-permutation modules. (Preprint.)], [S. Bouc and J. Thévenaz. A sectional characterization of the Dade group. J. Group Theory 11 (2008), 155–183.] extend to Dade groups of fusion systems
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