Results 11 to 20 of about 47 (42)
Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]
The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D. +5 more
core +1 more source
Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras [PDF]
We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
core +1 more source
Cluster algebras as Hall algebras of quiver representations [PDF]
17 pages ; 2 figures ; the title has changed ! some other minor modificationsRecent articles have shown the connection between representation theory of quivers and the theory of cluster algebras.
Chapoton, Frédéric, Caldero, Philippe
core +4 more sources
Representation theory of Mantaci-Reutenauer algebras [PDF]
41 pages; the last question of the last section has been slightly modifiedWe study some aspects of the representation theory of Mantaci-Reutenauer algebras: Cartan matrix, Loewy length, modular ...
Bonnafé, Cédric
core +2 more sources
Equivalences between cluster categories [PDF]
Tilting theory in cluster categories of hereditary algebras has been developed in [A. Buan, R. Marsh, M. Reineke, I. Reiten, G. Todorov, Tilting theory and cluster combinatorics, preprint, arXiv: math.RT/0402075, 2004, Adv. Math., in press; A.
Zhu, Bin, Bin Zhu
core +1 more source
Sur des faces du cône de Littlewood-Richardson généralisé [PDF]
19 pages (in french)International audienceLet G be a connected reductive algebraic group and H be a reductive closed and connected subgroup of G both defined on an algebraically closed field of characteristic zero.
Pierre-Louis Montagard +3 more
core +1 more source
A localization argument for characters of reductive Lie groups [PDF]
This article provides a geometric bridge between two entirely different character formulas for reductive Lie groups and answers the question posed by Schmid (in: Deformation Theory and Symplectic Geometry, Mathematical Physics Studies, Vol.
Libine, Matvei
core +1 more source
Foncteurs de division et structure de $I^{\otimes 2}\otimes \Lambda ^n$ dans la catégorie $\mathcal{F}$ [PDF]
We prove that, in the category F of functors between F_2-vector spaces, the tensor product between the second non constant standard injective functor and an exterior power functor is artinian. The only cas known to date was the artinian character of this
Djament, Aurélien, Aurélien Djament
core +1 more source
ПРЕДСТАВЛЕНИЯ АБЕЛЕВЫХ ПОЛУЦИКЛИЧЕСКИХ n-АРНЫХ ГРУПП [PDF]
In this paper we study the relationship between representations of abelian groups and representations of abelian n-ary groups. Based on this relationship, described all the representations of abelian semicyclic n-ary groups.
V. Kusov M. +1 more
core +2 more sources
Zassenhaus conjecture for central extensions of S5 [PDF]
We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
core +1 more source

