Ramanujan grammar and Cayley trees. (Grammaire de Ramanujan et arbres de Cayley.)
Random matrices, magic squares and matching polynomials.
Random Young tableaux and combinatorial identities.
rc-graphs and Schubert polynomials.
Realization of posets.
Reciprocal domains and Cohen-Macaulay -complexes in .
Recognizing circulant graphs of prime order in polynomial time.
Recognizing cluster algebras of finite type.
Recognizing graph theoretic properties with polynomial ideals.
Recursive and combinatorial properties of Schubert polynomials.
Regular character tables of symmetric groups.
Regular Sequences of Symmetric Polynomials
Regularisation and the Mullineux map.
Regularity of powers of binomial edge ideals of complete multipartite graphs
Let be a complete multipartite graph on with and being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity is for any positive integer .
Remarks on the boolean convolution and Kerov's α-transformation
This paper consists of two parts. The first part is devoted to the study of continuous diagrams and their connections with the boolean convolution. In the second part we investigate the rectangular Young diagrams and respective discrete measures. We recall the definition of Kerov's α-transformation of diagrams, define the α-transformation of finitely supported discrete measures and generalize the notion of the α-transformation.
Remarks to the dimension of an atypical irreducible representation of the special Lie superalgebra .
Representation stability for syzygies of line bundles on Segre–Veronese varieties
The rational homology groups of packing complexes are important in algebraic geometry since they control the syzygies of line bundles on projective embeddings of products of projective spaces (Segre–Veronese varieties). These complexes are a common generalization of the multidimensional chessboard complexes and of the matching complexes of complete uniform hypergraphs, whose study has been a topic of interest in combinatorial topology. We prove that the multivariate version of representation stability,...
Representations of Hecke algebras at roots of unity
Representations of the covering groups of the symmetric groups and their combinatorics.
Representations of the general linear group over symmetry classes of polynomials
Let be the complex vector space of homogeneous linear polynomials in the variables . Suppose is a subgroup of , and is an irreducible character of . Let be the symmetry class of polynomials of degree with respect to and . For any linear operator acting on , there is a (unique) induced operator acting on symmetrized decomposable polynomials by In this paper, we show that the representation of the general linear group is equivalent to the direct sum of copies of a representation...