This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes
A. Björner, Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings, Adv. Math. 52 (1984), 173–212. [88, 200]
A. Björner, Lecture Notes, MIT, 1985. [200]
P. Bromwich, Variations on a Theme of Solomon, Ph.D. thesis, University of Warwick, 1975. [200]
C. W. Curtis, The Hecke algebra of a finite Coxeter group, The Arcata Conference on Representations of Finite Groups, Proc. Symp. Pure Math. 47, part 1, American Mathematical Society, Providence, RI, 1987, pp. 51–60. [200]
A. M. Garsia, T. J. McLarnan, Relations between Young’s natural and the Kazhdan-Lusztig representations of Sn, Adv. Math. 69 (1988), 32–92. [200]
J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge University Press, Cambridge, 1990. [4, 24, 123, 124, 126, 130, 132, 134, 136, 174, 175, 200, 205, 240]
D. Kazhdan, G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165–184. [131, 170, 171, 173, 175, 188, 196, 200] pp. 175–176.
S. V. Kerov, W-graphs of representations of symmetric groups, J. Sov. Math. 28 (1985), 596–605. [64, 193, 200]
A. Lascoux, M.-P. Schützenberger, Polynômes de Kazhdan & Lusztig pour les grassmanniennes, Astérisque 87–88 (1981), 249–266. [193, 200]
G. I. Lehrer, A survey of Hecke algebras and the Artin braid groups, Braids (Santa Cruz, CA, 1986), Contemp. Math. 78, American Mathematical Society, Providence, RI, 1988, pp. 365–385. [200]
G. Lusztig, Cells in affine Weyl groups, Algebraic Groups and Related Topics, Adv. Studies in Pure. Math. 6, North-Holland, Amsterdam, 1985, pp. 225–287. [198, 200]
G. Lusztig, Cells in affine Weyl groups II, J. Algebra 109 (1987), 536–548. [198, 200]
A. Mathas, Some generic representations, W-graphs, and duality, J. Algebra 170 (1994), 322–353. [200]
A. Mathas, A q-analogue of the Coxeter complex, J. Algebra 164 (1994), 831–848. [200]
A. Mathas, On the left cell representations of Iwahori-Hecke algebras of finite Coxeter groups, J. London Math. Soc. 54 (1996), 475–488. [200]
J.-Y. Shi, The Kazhdan-Lusztig cells in certain affine Weyl groups, Lect. Notes in Math. 1179, Springer, Berlin, 1986. [200, 293]
L. Solomon, A decomposition of the group algebra of a finite Coxeter group, J. Algebra 9 (1968), 220–239. [200]
R. P. Stanley, Some aspects of groups acting on finite posets, J. Combin. Theory Ser. A 32 (1982), 132–161. [200]
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
(2005). Kazhdan-Lusztig representations. In: Combinatorics of Coxeter Groups. Graduate Texts in Mathematics, vol 231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27596-7_6
Download citation
DOI: https://doi.org/10.1007/3-540-27596-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44238-7
Online ISBN: 978-3-540-27596-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)