Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra
Banach Center Publications (1996)
- Volume: 36, Issue: 1, page 61-70
- ISSN: 0137-6934
Access Full Article
topAbstract
topHow to cite
topDuchamp, Gérard, and Kim, Sungsoon. "Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra." Banach Center Publications 36.1 (1996): 61-70. <http://eudml.org/doc/208583>.
@article{Duchamp1996,
abstract = {},
author = {Duchamp, Gérard, Kim, Sungsoon},
journal = {Banach Center Publications},
keywords = {Hecke algebras; symmetric groups; idempotents; -deformations; symmetrizers; antisymmetrizers; Young subgroups; explicit bases; intertwining spaces; characters; right ideals},
language = {eng},
number = {1},
pages = {61-70},
title = {Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra},
url = {http://eudml.org/doc/208583},
volume = {36},
year = {1996},
}
TY - JOUR
AU - Duchamp, Gérard
AU - Kim, Sungsoon
TI - Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra
JO - Banach Center Publications
PY - 1996
VL - 36
IS - 1
SP - 61
EP - 70
AB -
LA - eng
KW - Hecke algebras; symmetric groups; idempotents; -deformations; symmetrizers; antisymmetrizers; Young subgroups; explicit bases; intertwining spaces; characters; right ideals
UR - http://eudml.org/doc/208583
ER -
References
top- [1] G. E. Andrews, The theory of partitions, Addison-Wesley, London, 1976. Zbl0371.10001
- [2] C. W. Curtis, I. Reiner, Representations theory of finite groups and associative algebras, Interscience, New York, 1962.
- [3] R. Dipper and G. James, Blocks and idempotents of Hecke algebras of general linear groups, Proc. London Math. Soc. (3) 54 (1987), 57-82. Zbl0615.20009
- [4] G. Duchamp, D. Krob, B. Leclerc, A. Lascoux, T. Scharf, J. Y. Thibon, Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras, Publ. Res. Inst. Math. Sci. 31 (1995), 179-201. Zbl0835.05085
- [5] W. Fulton and J. Harris, Representation Theory, a first course, Graduate Texts in Mathematics 129, Springer, New York, 1991. Zbl0744.22001
- [6] A. Gyoja, A q-analogue of Young symmetrizer, Osaka J. Math. 23 (1986), 841-852. Zbl0644.20012
- [7] P. N. Hoefsmith, Representations of Hecke algebras of finite groups with BN-pairs of classical type, Ph.D. Thesis, Univ. of British Columbia, 1974.
- [8] J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge Studies in Advanced Mathematics 29, Cambridge University Press, Cambridge, 1990. Zbl0725.20028
- [9] G. James, A. Kerber, The Representation Theory of the Symmetric Group, %Cambridge University Press. Encyclopedia of Mathematics and its Application 16, Addison-Wesley, Reading, 1981.
- [10] A. A. A. Jucys, Symmetric polynomials and the center of the symmetric group ring, Institute of Physics and Mathematics of the Academy of Sciences, Lithuanian SSR, USSR, Reports on Mathematical Physics 5 (1974). Zbl0288.20014
- [11] A. Kerber, Algebraic Combinatorics Via Finite Group Actions, Wissenschaftsverlag, Mannheim, 1991. Zbl0726.05002
- [12] A. Lascoux and M.-P. Schützenberger, Formulaire Raisonné de fonctions Symétriques, LITP, U.E.R. Maths, Paris VII, Oct. 1985.
- [13] A. Lascoux and M.-P. Schützenberger, Le monoide plaxique, Quaderni de 'La ricerca scientifica', No. 109, ROMA, CNR, 1981.
- [14] V. F. Molčanov, On matrix elements of irreducible representations of a symmetric group, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 21 (1966), No. 1, 52-57.
- [15] G. E. Murphy, The idempotents of the symmetric group and Nakayama's conjecture, J. Algebra 81 (1983), 258-265. Zbl0521.20005
- [16] G. E. Murphy, On the Representation theory of the Symmetric Groups and Associated Hecke Algebras, J. Algebra 152 (1992), 492-513. Zbl0794.20020
- [17] D. E. Rutherford, Substitutional Analysis, University Press, Edinburgh, 1948.
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.