Results 1 to 10 of about 3,636 (229)
Quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions.
James Haglund +3 more
doaj +5 more sources
Discrete Mathematics & Theoretical Computer Science, 2009 A new class of functions is studied. We define the Brauer-Schur functions $B^{(p)}_{\lambda}$ for a prime number $p$, and investigate their properties.
Kazuya Aokage
doaj +2 more sources
European Physical Journal C: Particles and Fields, 2023 We wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages.
A. Morozov
doaj +3 more sources
The Murnaghan―Nakayama rule for k-Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions.
Jason Bandlow +2 more
doaj +3 more sources
Schur-convexity for compositions of complete symmetric function dual [PDF]
Journal of Inequalities and Applications, 2020 The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.
Huan-Nan Shi, Pei Wang, Jian Zhang
doaj +3 more sources
Free fermions and Schur expansions of multi-Schur functions
Journal of Combinatorial Theory - Series A, 2023 Multi-Schur functions are symmetric functions that generalize the supersymmetric Schur functions, the flagged Schur functions, and the refined dual Grothendieck functions, which have been intensively studied by Lascoux. In this paper, we give a new free-fermionic presentation of them.
Shinsuke Iwao
exaly +4 more sources
Staircase skew Schur functions are Schur P-positive [PDF]
Journal of Algebraic Combinatorics, 2012 We prove Stanley's conjecture that, if delta_n is the staircase shape, then the skew Schur functions s_{delta_n / mu} are non-negative sums of Schur P-functions. We prove that the coefficients in this sum count certain fillings of shifted shapes. In particular, for the skew Schur function s_{delta_n / delta_{n-2}}, we discuss connections with Eulerian ...
Federico Ardila, Ardila Federico
exaly +4 more sources
Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach [PDF]
Proceedings of the American Mathematical Society, 2021 An identity is derived expressing Schur functions as sums over products of pairs of Schur Q Q -functions, generalizing ...
Harnad, J., Orlov, A. Yu.
openaire +3 more sources
Number of standard strong marked tableaux [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Many results involving Schur functions have analogues involving $k-$Schur functions. Standard strong marked tableaux play a role for $k-$Schur functions similar to the role standard Young tableaux play for Schur functions.
Susanna Fishel, Matjaž Konvalinka
doaj +1 more source
The Electronic Journal of Combinatorics, 2004 We give a basis for the space spanned by the sum $\hat{s}_\lambda$ of the lowest degree terms in the expansion of the Schur symmetric functions $s_\lambda$ in terms of the power sum symmetric functions $p_\mu$, where deg$(p_i)=1$. These lowest degree terms correspond to minimal border strip tableaux of $\lambda$. The dimension of the space spanned by
Peter Clifford, Richard P. Stanley
openaire +3 more sources