Skew divided difference operators and Schubert polynomials.
Skew-symmetric cluster algebras of finite mutation type
In the famous paper [FZ2] Fomin and Zelevinsky obtained Cartan-Killing type classification of all cluster algebras of finite type, i.e. cluster algebras having only finitely many distinct cluster variables. A wider class of cluster algebras is formed by cluster algebras of finite mutation type which have finitely many exchange matrices (but are allowed to have infinitely many cluster variables). In this paper we classify all cluster algebras of finite mutation type with skew-symmetric exchange matrices....
Sklyanin determinant for reflection algebra.
Small bases for finite groups
Small integral trees.
Some applications of the proper and adjacency polynomials in the theory of graph spectra.
Some bijective correspondences involving domino tableaux.
Some classical expansions for Knop-Sahi and Macdonald polynomials.
Some design theoretic results on the Conway group .0.
Some families of orthogonal polynomials of a discrete variable and their applications to graphs and codes.
Some new methods in the theory of -quasi-invariants.
Some plethysm results related to Foulkes' conjecture.
Some properties of automorphism groups of paving matroids.
Sortable elements for quivers with cycles.
Specht modules for finite groups
Specht modules for Weyl groups.
Spin-preserving Knuth correspondences for ribbon tableaux.
Squarefree monomial ideals with maximal depth
Let be a Noetherian local ring and a finitely generated -module. We say has maximal depth if there is an associated prime of such that depth . In this paper we study squarefree monomial ideals which have maximal depth. Edge ideals of cycle graphs, transversal polymatroidal ideals and high powers of connected bipartite graphs with this property are classified.
Square-ice enumeration.
Stability of Kronecker products of irreducible characters of the symmetric group.