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http://dx.doi.org/10.4134/BKMS.2002.39.1.071

CELLULAR ALGEBRAS AND CENTERS OF HECKE ALGEBRAS  

Jeong, Yeon-Kwan (Department of Mathematics, Seoul National University)
Lee, In-Sok (Department of Mathematics, Seoul National University)
Oh, Hyekyung (Department of Mathematics, Seoul National University)
Park, Kyung-Hwan (Department of Mathematics, Seoul National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 71-79 More about this Journal
Abstract
In this short note, we find bases of the centers of generic Hecke algebras associated with certain finite Coxeter groups. Our bases are described using the notion of cell datum of Graham and Lehrer, and the notion of norm.
Keywords
Hecke algebra; cellular algebra; center;
Citations & Related Records
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  • Reference
1 /
[ J. E. Humphreys ] / Reflection groups and Coxeter groups
2 Hecke algebras of type <TEX>$B_n$</TEX> at roots of unity /
[ R. Dipper;G. D. James;G. E. Murphy ] / Proc. London Math. Soc.   DOI
3 Representations of Coxeter groups and Hecke algebras /
[ D. Kazhdan;G. Lusztig ] / Invent. Math.   DOI
4 /
[ B. E. Sagan ] / The symmetric group: Representations, combinatorial algorithms symmetric functions
5 Centers of generic Hecke algebras /
[ L. K. Jones ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
6 Centers and simple modules for Iwahori-Hecke algebras /
[ M. Geck;R. Rouquier ] / Progr. Math.
7 On a theorem of Benson and Curtis /
[ G. Lusztig ] / J. Algebra   DOI
8 Cellular algebras /
[ J. J. Graham;G. I. Lehrer ] / Invent. Math.   DOI
9 The Lusztig isomorphism for Hecke algebras of dihedral type /
[ A. P. Fakiolas ] / J. Algebra   DOI
10 The representations of Hecke algebras of type <TEX>$A_n$</TEX> /
[ G. E. Murphy ] / J. Algebra   DOI   ScienceOn
11 /
[ Y.-K. Jeong;I.-S. Lee;H. Oh; K.-H. Park ] / Cellular Bases of Hecke algebras of type <TEX>$D_2k+1$</TEX>