The partition algebra revisited

Journal of Algebra

Volumn 231, Issue 1, 2000, Pages 265-330

  Doran, William F IV ^a   Wales, David B ^b  

^a CENTER FOR COMMUNICATIONS RESEARCH   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034259603     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.2000.8365     Document Type: Article

References (13)

1. P. Diaconis, "Group Representations in Probability and Statistics," Institute of Mathematical Statistics Lecture Notes, Monograph Series 11.
2. W. Doran IV, P. Hanlon, and D. Wales, On the semisimplicity of the brauer centralizer algebras, J. Algebra 211 (1999), 647-685.
3. J. Graham and G. Lehrer, Cellular algebras, Invent Math. 123 (1996), 1-34.
4. n," Springer-Verlag, Berlin, 1980.
5. P. Hanlon and D. Wales, On the decomposition of brauer's centralizer algebras, J. Algebra 121 (1989), 409-445.
6. G. James, "The representation theory of the symmetric group," Lecture Notes in Mathematics, Vol. 682, Springer-Verlag, Berlin, 1978.
7. G. James and A. Kerber, The representation theory of the symmetric group, in "Encyclopedia of Mathematics and Its Applications" (G.-C. Rota, Ed.), Addison-Wesley, Reading, MA, 1981.
8. P. Martin, J. Knot Theory Ramifications 3 (1994), 51.
9. P. Martin, The structure of the partition algebras, J. Algebra 183 (1996), 319-358.
10. P. Martin and D. Woodcock, The partition algebra and a new deformation of the schur algebras, J. Algebra 203 (1998), 91-124.
11. B. Sagan, "The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions," Wadsworth & Brooks/Cole, Pacific Grove, CA, 1991.
12. R. Stanley, "Enumerative Combinatorics, Vol. 1," Wadsworth & Brooks/Cole, Pacific Grove, CA, 1986.
13. C. Xi, Partition algebras are cellular, Compositio Math. 119 (1999), 107-118.