CELLULAR ALGEBRAS AND CENTERS OF HECKE ALGEBRAS

作者: Yeon-Kwan Jeong , In-Sok Lee , Hyekyung Oh , Kyung-Hwan Park

DOI: 10.4134/BKMS.2002.39.1.071

关键词: Hecke algebraPure mathematicsCellular algebraMathematicsNorm (mathematics)Hecke operatorCoxeter groupDouble affine Hecke algebraCenter (group theory)General Mathematics

摘要: … In this short note, we find bases of the centers of gemeric Hecke algebras associated with … Dipper, GD James and GE Murphy, Hecke algebras of type B, at roots of unity, Proc. London …

参考文章(7)
Meinolf Geck, Raphaël Rouquier, Centers and simple modules for Iwahori-Hecke algebras Proceedings of an international conference on Finite reductive groups : related structures and representations: related structures and representations. pp. 251- 272 ,(1997) , 10.1007/978-1-4612-4124-9_9
George Lusztig, On a theorem of Benson and Curtis Journal of Algebra. ,vol. 71, pp. 490- 498 ,(1981) , 10.1016/0021-8693(81)90188-5
Richard Dipper, Gordon James, Eugene Murphy, Hecke Algebras of Type Bn at Roots of Unity Proceedings of the London Mathematical Society. ,vol. s3-70, pp. 505- 528 ,(1995) , 10.1112/PLMS/S3-70.3.505
David Kazhdan, George Lusztig, Representations of Coxeter Groups and Hecke Algebras. Inventiones Mathematicae. ,vol. 53, pp. 165- 184 ,(1979) , 10.1007/BF01390031
A.P Fakiolas, The lusztig isomorphism for Hecke algebras of dihedral type Journal of Algebra. ,vol. 126, pp. 466- 492 ,(1989) , 10.1016/0021-8693(89)90314-1
Lenny K. Jones, Centers of generic Hecke algebras Transactions of the American Mathematical Society. ,vol. 317, pp. 361- 392 ,(1990) , 10.1090/S0002-9947-1990-0948191-6
G.E. Murphy, The Representations of Hecke Algebras of Type An Journal of Algebra. ,vol. 173, pp. 97- 121 ,(1995) , 10.1006/JABR.1995.1079