A note on symmetric powers of the standard representation of .
Displaying 21 – 40 of 190
A note on three types of quasisymmetric functions.
Petersen, T. Kyle (2005)
The Electronic Journal of Combinatorics [electronic only]
A Pfaffian-Hafnian analogue of Borchardt's identity.
Ishikawa, Masao, Kawamuko, Hiroyuki, Okada, Soichi (2005)
The Electronic Journal of Combinatorics [electronic only]
A plethysm formula for .
Doran, William F.IV (1997)
The Electronic Journal of Combinatorics [electronic only]
A positive proof of the Littlewood-Richardson rule using the octahedron recurrence.
Knutson, Allen, Tao, Terence, Woodward, Christopher (2004)
The Electronic Journal of Combinatorics [electronic only]
A quasisymmetric function generalization of the chromatic symmetric function.
Humpert, Brandon (2011)
The Electronic Journal of Combinatorics [electronic only]
A Schröder generalization of Haglund's statistic on Catalan paths.
Egge, E.S., Haglund, J., Killpatrick, K., Kremer, D. (2003)
The Electronic Journal of Combinatorics [electronic only]
A semigroup approach to wreath-product extensions of Solomon's descent algebras.
Hsiao, Samuel K. (2009)
The Electronic Journal of Combinatorics [electronic only]
A short proof of an identity of Sylvester.
Bhatnagar, Gaurav (1999)
International Journal of Mathematics and Mathematical Sciences
A study of Eulerian numbers for permutations in the alternating group.
Tanimoto, Shinji (2006)
Integers
A symmetric basis of the algebra of quasi-symmetric coinvariants. (Une base symétrique de l'algébre des coinvariants quasi-symétriques.)
Chapoton, Frédéric (2005)
The Electronic Journal of Combinatorics [electronic only]
A symmetric functions approach to Stockhausen's problem.
Yen, Lily (1996)
The Electronic Journal of Combinatorics [electronic only]
A two parameter chromatic symmetric function.
Williams, Ellison-Anne (2007)
The Electronic Journal of Combinatorics [electronic only]
A unified view of determinantal expansions for Jack polynomials.
Roberts, Leigh (2001)
The Electronic Journal of Combinatorics [electronic only]
A weighted graph polynomial from chromatic invariants of knots
Steven D. Noble, Dominic J. A. Welsh (1999)
Annales de l'institut Fourier
Motivated by the work of Chmutov, Duzhin and Lando on Vassiliev invariants, we define a polynomial on weighted graphs which contains as specialisations the weighted chromatic invariants but also contains many other classical invariants including the Tutte and matching polynomials. It also gives the symmetric function generalisation of the chromatic polynomial introduced by Stanley. We study its complexity and prove hardness results for very restricted classes of graphs.
About division by 1.
Lascoux, Alain (2001)
The Electronic Journal of Combinatorics [electronic only]
Actions of the symmetric group generated by comparable sets of integers and Smith invariants.
Azenhas, Olga, Mamede, Ricardo (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
Adding to the argument of a Hall-Littlewood polynomial.
Lascoux, Alain (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
An analytic formula for the Jack polynomials.
Mangazeev, Vladimir V. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
An identity in Rota-Baxter algebras.
Díaz, Rafael, Páez, Marcelo (2006)
Séminaire Lotharingien de Combinatoire [electronic only]