RSK bases and Kazhdan-Lusztig cells

K. N. Raghavan[1]; Preena Samuel[1]; K. V. Subrahmanyam[2]

  • [1] Institute of Mathematical Sciences C. I. T. Campus Chennai 600 113 (India)
  • [2] Chennai Mathematical Institute Plot No. H1, SIPCOT IT Park Padur Post, Siruseri 603 103 Tamilnadu (India)

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 2, page 525-569
  • ISSN: 0373-0956

Abstract

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From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, “ RSK bases” are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory, both ordinary and modular, of the symmetric group are discussed.

How to cite

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Raghavan, K. N., Samuel, Preena, and Subrahmanyam, K. V.. "RSK bases and Kazhdan-Lusztig cells." Annales de l’institut Fourier 62.2 (2012): 525-569. <http://eudml.org/doc/251104>.

@article{Raghavan2012,
abstract = {From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, “ RSK bases” are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory, both ordinary and modular, of the symmetric group are discussed.},
affiliation = {Institute of Mathematical Sciences C. I. T. Campus Chennai 600 113 (India); Institute of Mathematical Sciences C. I. T. Campus Chennai 600 113 (India); Chennai Mathematical Institute Plot No. H1, SIPCOT IT Park Padur Post, Siruseri 603 103 Tamilnadu (India)},
author = {Raghavan, K. N., Samuel, Preena, Subrahmanyam, K. V.},
journal = {Annales de l’institut Fourier},
keywords = {Symmetric group; Hecke algebra; Kazhdan-Lusztig basis; RSK correspondence; symmetric group},
language = {eng},
number = {2},
pages = {525-569},
publisher = {Association des Annales de l’institut Fourier},
title = {RSK bases and Kazhdan-Lusztig cells},
url = {http://eudml.org/doc/251104},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Raghavan, K. N.
AU - Samuel, Preena
AU - Subrahmanyam, K. V.
TI - RSK bases and Kazhdan-Lusztig cells
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 2
SP - 525
EP - 569
AB - From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, “ RSK bases” are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory, both ordinary and modular, of the symmetric group are discussed.
LA - eng
KW - Symmetric group; Hecke algebra; Kazhdan-Lusztig basis; RSK correspondence; symmetric group
UR - http://eudml.org/doc/251104
ER -

References

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