Zobrazeno 1 - 6
of 6
pro vyhledávání: '"van Willigenburg, Stephanie J."'
Publikováno v:
J. Combin. Theory Ser. A 137:179--206 (2016)
The classical Littlewood-Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions that are analogous to the
Externí odkaz:
http://arxiv.org/abs/1410.2934
Publikováno v:
Adv. Math. 285:1025--1065 (2015)
We begin by deriving an action of the 0-Hecke algebra on standard reverse composition tableaux and use it to discover 0-Hecke modules whose quasisymmetric characteristics are the natural refinements of Schur functions known as quasisymmetric Schur fu
Externí odkaz:
http://arxiv.org/abs/1403.1527
Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes
Publikováno v:
J. Algebraic Combin. 28:139--167 (2008), volume in memory of M Schocker
Some new relations on skew Schur function differences are established both combinatorially using Sch\"utzenberger's jeu de taquin, and algebraically using Jacobi-Trudi determinants. These relations lead to the conclusion that certain differences of s
Externí odkaz:
http://arxiv.org/abs/0706.3253
Publikováno v:
J. of Algebra 206:693-698 (1998)
We put forward a proof of Solomon's rule, in terms of matrices, for multiplication in the descent algebra of the symmetric group. Our proof exploits the graphs that we can obtain from all the subsets of the set of transpositions, $\{(i,i+1)\}_{i=1}^{
Externí odkaz:
http://arxiv.org/abs/0706.2714
Publikováno v:
In Advances in Mathematics 5 November 2015 285:1025-1065
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