Keywords
- Symmetric Function
- Infinite Sequence
- Young Tableau
- General Linear Group
- Standard Tableau
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
G. BAXTER: An analytic problem whose solution follows from a simple algebraic identity, Pacific J. Math. 10 (1960), 731–742.
H.O. FOULKES: Enumeration of permutations with prescribed up-down and inversion sequences, Discrete Mathematics (to appear).
J.A. GREEN: The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402–447.
P. HALL: The Algebra of Partitions, Proceedings of the Fourth Canadian Mathematical Congress, Banff, 1957, 147–159.
D.E. KNUTH: Permutations, Matrices and Generalized Young Tableaux, Pacific J. Math. 34 (1970), 709–727.
D.E. LITTLEWOOD: "The Theory of Group Characters", 2nd edition, Oxford University Press, Great Britain, 1950.
D.E. LITTLEWOOD: On certain symmetric functions, Proc. London Math. Soc. (3) 11 (1961), 485–498.
P.A. MACMAHON: "Combinatory Analysis", Vol. I, Cambridge University Press, Great Britain, 1915.
A.O. MORRIS: On Q-functions, J. London Math. Soc. 37 (1962), 445–455.
A.O. MORRIS: The Characters of the Group GL(n,q), Math. Zeitschr., 81 (1963), 112–123.
G-C. ROTA and D.A. SMITH: Fluctuation Theory and Baxter Algebras, Symposia Mathematica — IX (Convegno di Calcolo delle Probabilita, INDAM, Roma, Marzo 1971), 179–201. Academic Press, London, 1972.
C. SCHENSTED: Longest Increasing and Decreasing Subsequences, Canad. J. Math. 13 (1961), 179–191.
M.P. SCHÜTZENBERGER: Quelque Remarques sur une Construction de Schensted, Math. Scand. 12 (1963), 117–128.
G.P. THOMAS: Frames, Young Tableaux and Baxter Sequences, Advances in Mathematics (to appear).
G.P. THOMAS: Baxter Algebras and Schur Functions, Ph.D. Thesis, University College of Swansea, Sept. 1974.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1977 Springer-Verlag
About this paper
Cite this paper
Thomas, G.P. (1977). Further results on baxter sequences and generalized Schur functions. In: Foata, D. (eds) Combinatoire et Représentation du Groupe Symétrique. Lecture Notes in Mathematics, vol 579. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090016
Download citation
DOI: https://doi.org/10.1007/BFb0090016
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08143-2
Online ISBN: 978-3-540-37385-8
eBook Packages: Springer Book Archive
