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On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Descent algebra symmetric group quiver presentation
2012/6/15
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
Modulation and natural valued quiver of an algebra
Modulation natural valued quive algebra
2018/4/19
The concept of modulation is generalized to pseudo-modulation and its subclassesincluding pre-modulation, generalized modulation and regular modulation. The moti-
vation is to deˉne the valued analog...
Handsaw quiver varieties and finite W-algebras
Handsaw quiver varieties finite W-algebras Quantum Algebra
2011/9/20
Abstract: Following Braverman-Finkelberg-Feigin-Rybnikov (arXiv:1008.3655), we study the convolution algebra of a handsaw quiver variety, a.k.a. a parabolic Laumon space, and a finite W-algebra of typ...
Quiver Hecke superalgebras
quiver Hecke algebra affine Hecke-Clifford superalgebra Quantum Algebra
2011/8/25
Abstract: We introduce a new family of superalgebras which should be considered as a super version of the Khovanov-Lauda-Rouquier algebras. Let $I$ be the set of vertices of a Dynkin diagram with pari...
Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A
Modules with 1-dimensional socle components
2010/11/26
For any simply-laced Kac-Moody Lie algebra g, Lusztig [L] has constructed canonical bases
for its representations using the geometry of quiver varieties. In particular, Lustzig considered the variety...
Weakly Ordered Multiplicative Basis of An Algebra Related to Quiver Theory
ordered multiplicative basis quiver generalized path algebra skew group algebra
2018/4/19
In this paper, for an algebra, weakly ordered multiplicative basis with weakly admissibleorder is introduced as an invariant under almost Morita equivalence and it is shown that an algebra with weakly...