List of publications for Tan Kai Meng

Research articles

  1. (With Joseph Chuang and Hyohe Miyachi) Parallelotope tilings and q-decomposition numbers, Adv. Math., to appear.
  2. (With Joseph Chuang) Canonical bases for Fock spaces and tensor products, Adv. Math. 302 (159-189), 2016.
  3. (With Kay Jin Lim) Periodic Lie modules, J. Algebra 445 (280-294), 2016.
  4. (With Karin Erdmann and Kay Jin Lim) The complexity of the Lie module, Proc. Edinb. Math. Soc. (2) 57 (393-404), 2014.
  5. (With Wei Hao Teo) Sign sequences and decomposition numbers, Trans. Amer. Math. Soc. 365 (6385-6401), 2013.
  6. (With Kay Jin Lim) The complexities of some simple modules of the symmetric groups, Bull. London Math. Soc. 45 (497-510), 2013.
  7. (With Roger M. Bryant and Kay Jin Lim) Asymptotic behaviour of Lie powers and Lie modules, Q. J. Math. 63 (845-853), 2012; doi: 10.1093/qmath/har027.
  8. (With Kay Jin Lim) The Schur functor on tensor powers. Arch. Math. (Basel) 98 (99-104), 2012.
  9. (With Karin Erdmann) The non-projective part of the Lie module for the symmetric group, Arch. Math. (Basel) 96 (513-518), 2011.
  10. (With Karin Erdmann) The Lie module of the symmetric group, Int. Math. Res. Not. Vol. 2010 (3763-3785), 2010.
  11. Beyond Rouquier partitions, J. Algebra 321 (248-263), 2009.
  12. Martin's conjecture holds for weight 3 blocks of symmetric groups, J. Algebra 320 (1115-1132), 2008.
  13. (With Joseph Chuang and Hyohe Miyachi) Kleshchev's decomposition numbers and branching coefficients in the Fock space, Trans. Amer. Math. Soc. 360 (1179-1191), 2008.
  14. (With Sibylle Schroll) Weight 2 blocks of general linear groups and modular Alvis-Curtis duality, Int. Math. Res. Not. 2007, Vol. 2007, article ID rnm130, 35 pages, doi:10.1093/imrn/rnm130.
  15. (With Matthew Fayers) The ordinary quiver of a weight three block of the symmetric group is bipartite, Adv. Math. 209 (69-98), 2007.
  16. (With Matthew Fayers) Adjustment matrices for weight three blocks of Iwahori-Hecke algebras, J. Algebra 306 (76-103), 2006.
  17. (With Stuart Martin) [3:2]-pairs of symmetric group algebras and their intermediate defect 4 blocks, J. Algebra 288 (505-526), 2005.
  18. (With Joseph Chuang and Hyohe Miyachi) A v-analogue of Peel's theorem, J. Algebra 280 (219-231), 2004.
  19. (With Joseph Chuang) Representations of wreath products of algebras, Math. Proc. Cambridge Philos. Soc. 135 (395-411), 2003.
  20. (With Joseph Chuang) Filtrations in Rouquier blocks of symmetric groups and Schur algebras, Proc. London Math. Soc (3) 86 (685-706), 2003.
  21. (With Joseph Chuang and Hyohe Miyachi) Row and column removal in the q-deformed Fock space, J. Algebra 254 (84-91), 2002.
  22. (With Joseph Chuang) Some canonical basis vectors in the basic Uq(sln)-module, J. Algebra 248 (765-779), 2002.
  23. (With Joseph Chuang) On certain blocks of Schur algebras, Bull. London Math. Soc. 33 (157-167), 2001.
  24. (With Stuart Martin) Defect 3 blocks of symmetric group algebras : I, J. Algebra 237 (95-120), 2001.
  25. On the principal blocks of S9 and S10 over a field of characteristic 3, J. Pure Appl. Algebra 153 (79-106), 2000.
  26. On the principal blocks of FS11 and FS12 over a field of characteristic 3, Math. Proc. Cambridge Philos. Soc. 128 (395-423), 2000.
  27. (With Joseph Chuang) On Young modules of defect 2 blocks of symmetric group algebras, J. Algebra 221 (651-668), 1999.

Books

  1. Modular Representation Theory of Finite and p-Adic Groups, Eds. Wee Teck Gan and Kai Meng Tan, Lecture Notes Series Vol. 30, Institute of Mathematical Sciences, National University of Singapore, World Scientific Publishing, 2015.

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Email : tankm@nus.edu.sg

Last modified: 12 Sep 2017