Nakayama Twisted Centers and Dual Bases of Frobenius Cellular Algebras

REFERENCES

• Curtis , C. W. , Reiner , I. ( 1964 ). Representation Theory of Finite Groups and Associative Algebras . New York : Interscience .
   Google Scholar
• Geck , M. ( 2007 ). Hecke algebras of finite type are cellular . Invent. Math. 169 : 501 – 517 .
   Web of Science ®Google Scholar
• Graham , J. J. , Lehrer , G. I. ( 1996 ). Cellular algebras . Invent. Math. 123 : 1 – 34 .
   Web of Science ®Google Scholar
• Higman , D. G. ( 1955 ). On orders in separable algebras . Can. J. Math. 7 : 509 – 515 .
   Google Scholar
• Holm , T. , Zimmermann , A. ( 2011 ). Deformed preprojective algebras of type L: Külshammer spaces and derived equivalences . J. Algebra 346 : 116 – 146 .
   Web of Science ®Google Scholar
• Koenig , S. , Xi , C. C. ( 2000 ). A self-injective cellular algebra is weakly symmetric . J. Algebra 228 : 51 – 59 .
   Web of Science ®Google Scholar
• Lam , T. Y. ( 1998 ). Lectures on Modules and Rings . GTM, Vol. 189 . New York : Spring-Verlag .
   Google Scholar
• Li , Y. ( 2010 ). Centers of symmetric cellular algebras . Bull. Aust. Math. Soc. 82 : 511 – 522 .
   Web of Science ®Google Scholar
• Li , Y. (2012). Nakayama automorphisms of Frobenius cellular algebras. Bull. Aust. Math. Soc. 86:515–524.
   Web of Science ®Google Scholar
• Li , Y. ( 2013 ). Radicals of symmetric cellular algebras . Colloq. Math. 133 : 67 – 83 .
   Web of Science ®Google Scholar
• Li , Y. , Xiao , Z. ( 2012 ). On cell modules of symmetric cellular algebra . Monatsh. Math. 168 : 49 – 64 .
   Web of Science ®Google Scholar
• Li , Y. , Zhao , D. ( 2013 ). Projective cell modules of Frobenius cellular algebras . Monatsh. Math. , accepted .
   Web of Science ®Google Scholar
• Xi , C. C. ( 1999 ). Partition algebras are cellular . Compositio Math. 119 : 99 – 109 .
   Web of Science ®Google Scholar
• Xi , C. C. ( 2000 ). On the quasi-heredity of Birman-Wenzl algebras . Adv. Math. 154 : 280 – 298 .
   Web of Science ®Google Scholar
• Communicated by J. L. Gomez Pardo.
   Google Scholar