Cellularity of a New Class of Diagram Algebras

REFERENCES

• Brauer , R. ( 1937 ). On algebras which are connected with the semisimple continuous groups . Ann. Math. 38 : 857 – 872 .
   Google Scholar
• Curtis , C. W. , Reiner , I. ( 1964 ). Representation Theory of Finite Groups and Associative Algebras . New York : Interscience .
   Google Scholar
• Graham , J. J. , Lehrer , G. I. ( 1996 ). Cellular algebras . Invent. Math. 123 : 1 – 34 .
   Web of Science ®Google Scholar
• Koenig , S. , Xi , C. C. ( 2001 ). A characteristic-free approach to Brauer algebras . Trans. Amer. Math. Soc. 353 : 1489 – 1505 .
   Web of Science ®Google Scholar
• Koenig , S. , Xi , C. C. ( 2012 ). Affine cellular algebras . Adv. Math. 229 : 139 – 182 .
   Web of Science ®Google Scholar
• Xi , C. C. ( 1999 ). Partition algebras are cellular . Compos. 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 Q. Wu.
   Google Scholar