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SCHUBERT POLYNOMIALS AND QUIVER FORMULAS     SCHUBERT POLYNOMIALS  QUIVER FORMULAS       font style='font-size:12px;'> 2015/12/17
Fulton's universal Schubert polynomials [F3] represent degeneracy loci for morphisms of vector bundles with rank conditions coming from a permutation.
GROTHENDIECK POLYNOMIALS AND QUIVER FORMULAS     GROTHENDIECK POLYNOMIALS  QUIVER FORMULAS       font style='font-size:12px;'> 2015/12/17
Fulton's universal Schubert polynomials give cohomology formulas for a class of degeneracy loci, which generalize Schubert varieties. The Ktheoretic quiver formula of Buch expresses the structure she...
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       font style='font-size:12px;'> 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       font style='font-size:12px;'> 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...
Abstract: We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associat...
Quiver Hecke superalgebras     quiver Hecke algebra  affine Hecke-Clifford superalgebra  Quantum Algebra       font style='font-size:12px;'> 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...
A supersymmetric quantum mechanical model is constructed for BPS states bound to surface operators in five dimensional SU(r) gauge the-ories using D-brane engineering.
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...
We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds of the form M × G/H where M is a smooth manifold, and G/H is a compact six-dimensional homogeneous spac...
Let B(0) be the level 1 highest weight crystal of the quantum affine algebra Uq(A (1) n ).We construct an explicit crystal isomorphism between the geometric realization B(0) of B(0) via quiver var...
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...

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