Last modified: 1/12 John Stembridge List of Publications 1. (with J. Todd), On a trigonometrical sum, Linear Algebra Appl. 35 (1981), 287--291. 2. A characterization of supersymmetric polynomials, J. Algebra 95 (1985), 439--444. 3. Trapezoidal chains and antichains, European J. Combinatorics 7 (1986), 377--387. 4. First layer formulas for characters of SL(n,C), Trans. Amer. Math. Soc. 299 (1987), 319--350. 5. (with K. Collins and P. Shor), A lower bound for 0,1,* tournament codes, Discrete Math. 63 (1987), 15--19. 6. Rational tableaux and the tensor algebra of gl_n, J. Combinatorial Theory Ser. A 46 (1987), 79--120. 7. A short proof of Macdonald's conjecture for the root systems of type A, Proc. Amer. Math. Soc. 102 (1988), 777--786. 8. A combinatorial theory for rational actions of GL_n, in "Invariant Theory," (R. Fossum et. al., eds.), Contemporary Math. 88 (1989), 163--176. 9. The Bruhat order and iterated exponentials, J. Combinatorial Theory Ser. A. 50 (1989), 87--99. 10. Shifted tableaux and the projective representations of symmetric groups, Advances in Math. 74 (1989), 87--134. 11. On the eigenvalues of representations of reflection groups and wreath products, Pacific J. Math. 140 (1989), 353--396. 12. Hall-Littlewood functions, plane partitions and the Rogers-Ramanujan identities, Trans. Amer. Math. Soc. 319 (1990), 469--498. 13. On symmetric functions and the spin characters of S_n, in "Topics in Algebra," (S. Balcerzyk et. al., eds.), Banach Center Publ. Vol. 26, part 2, pp. 433--453, Polish Scientific Publishers, Warsaw, 1990. 14. Eulerian numbers, tableaux, and the Betti numbers of a toric variety, Discrete Math., 99 (1992), 307--320. 15. The projective representations of the hyperoctahedral group, J. Algebra, 145 (1992), 396--453. 16. Nonintersecting paths, pfaffians and plane partitions, Advances in Math. 83 (1990), 96--131. 17. Some conjectures for immanants, Canad. J. Math. 44 (1992), 1079--1099. 18. (with R. Stanley), On immanants of Jacobi-Trudi matrices and permutations with restricted position, J. Combin. Theory Ser. A 62 (1993), 261--279. 19. Immanants of totally positive matrices are nonnegative, Bull. London Math. Soc. 23 (1991), 422--428. 20. On Schur's Q-functions and the primitive idempotents of a commutative Hecke algebra, J. Algebraic Combin. 1 (1992), 71--95. 21. (with P. Hanlon and R. Stanley) Some combinatorial aspects of the spectra of normally distributed random matrices, Contemporary Math. 138 (1992), 151--174. 22. Some permutation representations of Weyl groups associated with the cohomology of toric varieties, Advances in Math. 106 (1994), 244--301. 23. The enumeration of totally symmetric plane partitions, Advances in Math. 111 (1995), 227--243. 24. Some particular entries of the two-parameter Kostka matrix, Proc. Amer. Math. Soc. 121 (1994), 367--373. 25. Some hidden relations involving the ten symmetry classes of plane partitions, J. Combin. Theory Ser. A 68 (1994), 372--409. 26. On minuscule representations, plane partitions and involutions in complex Lie groups, Duke Math. J. 73 (1994), 469--490. 27. A Maple package for symmetric functions, J. Symbolic Computation 20 (1995), 755--768. 28. Canonical bases and self-evacuating tableaux, Duke Math. J. 82 (1996), 585--606. 29. Enriched P-Partitions, Trans. Amer. Math. Soc. 349 (1997), 763--788. 30. On the fully commutative elements of Coxeter groups, J. Algebraic Combinatorics 5 (1996), 353--385. 31. Some combinatorial aspects of reduced words in finite Coxeter groups, Trans. Amer. Math. Soc. 349 (1997), 1285--1332. 32. (with C. K. Fan) Nilpotent orbits and commutative elements, J. Algebra 196 (1997), 490--498. 33. The enumeration of fully commutative elements of Coxeter groups, J. Algebraic Combinatorics 7 (1998), 291--320. 34. On the Poincare series and cardinalities of finite reflection groups, Proc. Amer. Math. Soc. 126 (1998), 3177--3181. 35. (with D. J. Waugh) A Weyl group generating function that ought to be better known, Indag. Math. 9 (1998), 451--457. 36. The partial order of dominant weights, Advances in Math. 136 (1998), 340--364. 37. A construction of H_4 without miracles, Discrete Comput. Geom. 22 (1999), 425--427. 38. (with A. Berele) Denominators for the Poincare series of invariants of small matrices, Israel J. Math. 114 (1999), 157--175. 39. Computational aspects of root systems, Coxeter groups, and Weyl characters, in "Interactions of Combinatorics and Representation Theory," MSJ Memoirs 11, Math. Soc. Japan, Tokyo, 2001, pp. 1--38. 40. Counting points on varieties over finite fields related to a conjecture of Kontsevich, Ann. Comb. 2 (1998), 365--385. 41. Minuscule elements of Weyl groups, J. Algebra 235 (2001), 722--743. 42. Quasi-minuscule quotients and reduced words for reflections, J. Algebraic Combinatorics 13 (2001), 275--293. 43. Multiplicity-free products of Schur functions, Ann. Comb. 5 (2001), 113--121. 44. Combinatorial models for Weyl characters, Advances in Math. 168 (2002), 96--131. 45. A weighted enumeration of maximal chains in the Bruhat order, J. Algebraic Combinatorics 15 (2002), 291--301. 46. A local characterization of simply-laced crystals, Trans. Amer. Math. Soc. 355 (2003), 4807--4823. 47. Multiplicity-free products and restrictions of Weyl characters, Represent. Theory 7 (2003), 404--439. 48. A concise proof of the Littlewood-Richardson rule, Electron. J. Combin. 9 (2002), N5, 4pp. 49. On the Classification of Multiplicity-Free Exterior Algebras, Int. Math. Res. Not. 40 (2003), 2181--2191. 50. Explicit matrices for irreducible representations of Weyl groups, Represent. Theory 8 (2004), 267--289. 51. Tight quotients and double quotients in the Bruhat order, Electron. J. Combin. 11(2) (2005), R14, 41pp. 52. Counterexamples to the poset conjectures of Neggers, Stanley, and Stembridge, Trans. Amer. Math. Soc. 359 (2007), 1115--1128. 53. Graded multiplicities in the Macdonald kernel, part I, Int. Math. Res. Pap. 2005, no. 4, 183--236. 54. A short derivation of the M"obius function for the Bruhat order, J. Algebraic Combinatorics 25 (2007), 141--148. 55. Appendix to: "A curious identity and the volume of the root spherical simplex" by C. De Concini and C. Procesi, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 17 (2006), 155--165. 56. Irreducible circuits and Coxeter arrangements, J. Combin. Theory Ser. A 114 (2007), 1220--1237. 57. Coxeter cones and their h-vectors, Advances in Math. 217 (2008), 1935--1961. 58. (with S. Kumar) Special isogenies and tensor product multiplicities, Int. Math. Res. Not. IMRN 2007, article rnm081, 13pp. 59. (with K. Dilks and T. K. Petersen) Affine descents and the Steinberg torus, Advances in Applied Math. 42 (2009), 423--444. 60. Admissible W-graphs, Represent. Theory 12 (2008), 346--368. 61. Orthogonal sets of Young symmetrizers, Advances in Applied Math. 46 (2011), 576--582. 62. Admissible W-graphs and commuting Cartan matrices, Advances in Applied Math. 44 (2010), 203--224. 63. A finiteness theorem for $W$-graphs, Advances in Math., to appear.