Results 91 to 100 of about 336 (128)

Noncommutative Schur functions for posets

, 2022
The machinery of noncommutative Schur functions is a general approach to Schur positivity of symmetric functions initiated by Fomin-Greene. Hwang recently adapted this theory to posets to give a new approach to the Stanley-Stembridge conjecture.
Blasiak, Jonah, Pylyavskyy, Pavlo, Eriksson, Holden, Siegl, Isaiah   +3 more
core  

Noncommutative unicellular LLT polynomials

, 2021
International audienceIt is known that unicellular LLT polynomials are related to the quasi-symmetric chromatic polynomials of certain graphs by the (t-1)-transform of symmetric functions.
Thibon, Jean-Yves, Novelli, Jean-Christophe   +1 more
core   +1 more source

Matrix symmetric and quasi-symmetric functions and noncommutative representation theory

Journal of Algebra
A fundamental result by L. Solomon in algebraic combinatorics and representation theory states that Mackey formulas for products of characters of a symmetric group, or equivalently the computation of tensor products of representations thereof, can be lifted to the corresponding Solomon's descent algebra, a subalgebra of the group algebra with a very ...
Loïc Foissy, Claudia Malvenuto, Frédéric Patras   +2 more
openaire   +2 more sources

Noncommutative Cyclic Characters of Symmetric Groups

, 1994
We define noncommutative analogues of the characters of the symmetric group which are induced by transitive cyclic subgroups (cyclic characters). We investigate their properties by means of the formalism of noncommutative symmetric functions.
Thomas Scharf, Jean-Yves Thibon, Bernard Leclerc   +2 more
core  

MacMahon symmetric functions, the partition lattice, and young subgroups

, 2001
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the
Rosas, Mercedes H., Mercedes H. Rosas, Rosas Celis, Mercedes Helena   +2 more
core   +1 more source

Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras

, 2008
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

Connections Between Bases of Noncommutative Symmetric Functions

In this thesis, we provide new formulae for converting immaculate noncommutative symmetric functions (NSym) indexed by compositions of length three into the ribbon basis of NSym, and provide a general result on the appearance of certain terms in the ...
Sphar, Andrew Michael
core  

Noncommutative Symmetric functions and W-polynomials

, 2006
Let K,S,D be a division ring an endomorphism and a S-derivation of K, respectively. In this setting we introduce generalized noncommutative symmetric functions and obtain Viète formula and decompositions of dif-ferential operators. W-polynomials show up
Jonathan Delenclos, Andre ́ Leroy
core  

Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited

, 2008
21 pagesWe prove a Cauchy identity for free quasi-symmetric functions and apply it to the study of various bases.
Thibon, Jean-Yves, Hivert, Florent, Duchamp, Gérard Henry Edmond, Novelli, Jean-Christophe   +3 more
core   +1 more source

Skew quasisymmetric Schur functions and noncommutative Schur functions

, 2010
Recently a new basis for the Hopf algebra of quasisymmetric functions QSym, called quasisymmetric Schur functions, has been introduced by Haglund, Luoto, Mason, van Willigenburg. In this paper we extend the definition of quasisymmetric Schur functions to
C. Bessenrodt, K. Luoto, Bessenrodt, C., S. Van Willigenburg, Luoto, K., van Willigenburg, S.   +5 more
core   +1 more source