Writing briefly takes far more time than writing at length.
--K. F. Gauss

Recent Papers by John Stembridge


The file format of some of the older articles is gzip'd PostScript.
The numbering of the articles refers to my list of publications.

64.
Generalized Stability of Kronecker Coefficients,
preprint.
Date: Aug. 14, 2014.
Length: 27pp., 243K.
Also available: an Appendix containing several remarks and observations about Kronecker coefficients that turned out not to be necessary for the paper.

63.
A Finiteness Theorem for W-Graphs,
Advances in Math. 229 (2012), 2405-2414.
Date: July 22, 2011; typo corrected Jan 3, 2012.
Length: 11pp., 135K.

62.
Admissible W-Graphs and Commuting Cartan Matrices,
Advances in Applied Math. 44 (2010), 203-224.
Date: June 30, 2009; minor revisions August 10, 2009.
Length: 27pp., 178K.
Also available: a monochrome edition (if your printer lacks color).

61.
Orthogonal Sets of Young Symmetrizers,
Advances in Applied Math. 46 (2011), 576-582.
Date: Feb. 28, 2009; minor revisions Sept. 1, 2009.
Length: 9pp., 129K.

60.
Admissible W-Graphs,
Represent. Theory 12 (2008), 346-368.
Date: June 2, 2008; minor revisions June 9, 2008; August 25, 2008.
Length: 26pp., 201K.

59.
(with K. Dilks and T. K. Petersen) Affine Descents and the Steinberg Torus,
Advances in Applied Math. 42 (2009), 423-444.
Date: Sept. 26, 2007; minor revisions Oct. 19, 2007; May 28, 2008.
Length: 24pp., 214K.
Update: The remaining open cases of the conjecture that affine Eulerian polynomials have all real roots (Conjecture 4.1) have now been settled by C. Savage and M. Visontai (for affine B) and A. Yang and P. Zhang (for affine D). See arXiv: 1208.3831 and 1401.6273.

58.
(with S. Kumar) Special Isogenies and Tensor Product Multiplicities,
Int. Math. Res. Not. 2007, article rnm081, 13pp.
Date: June 14, 2007; minor revisions July 30, 2007. Length: 10pp., 145K.

57.
Coxeter Cones and their h-vectors,
Advances in Math. 217 (2008), 1935-1961.
Date: Mar. 12, 2007; minor revisions Aug. 31, 2007. Length: 31pp., 191K.

56.
Irreducible Circuits and Coxeter Arrangements,
J. Combin. Theory Ser. A 114 (2007), 1220-1237.
Date: May 25, 2006; minor revisions Jan. 16, 2007. Length: 21pp., 157K.

55.
Appendix to "A Curious Identity and the Volume of the Root Spherical Simplex",
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 17 (2006), 155--165.
Date: Mar. 8, 2006. Length: 3pp., 80K.
The full paper (including appendix) is in the arXiv [math.RT/0602279].

54.
A Short Derivation of the Möbius Function for the Bruhat Order,
J. Algebraic Combinatorics 25 (2007), 141-148.
Date: Jan. 31, 2006; minor revisions June 21, 2006. Length: 7pp., 108K.

53.
Graded Multiplicities in the Macdonald Kernel, Part I,
Int. Math. Res. Pap. 2005, no. 4, 183-236.
Date: Mar. 31, 2005. Length: 46pp., 171K.

52.
Counterexamples to the Poset Conjectures of Neggers, Stanley, and Stembridge,
Trans. Amer. Math. Soc. 359 (2007), 1115-1128.
Date: Nov. 27, 2004; revised Feb. 19, 2005; minor updates Mar. 4, 2005.
Length: 16pp., 152K.
See also the related software and data.

51.
Tight Quotients and Double Quotients in the Bruhat Order,
Electron. J. Combin. 11(2) (2005), R14, 41pp.
Date: Aug. 15, 2004; revised Jan. 24, 2005. Length: 41pp., 254K.

50.
Explicit Matrices for Irreducible Representations of Weyl Groups,
Represent. Theory 8 (2004), 267-289.
Date: Feb. 24, 2004. Length: 27pp., 107K.
Important: See the erratum in Represent. Theory 10 (2006), 48-48.
This paper is part of the Atlas of Lie Groups Project. See also the database of explicit matrices for representations of Weyl groups over at my archive of Research Data and Other Useful Stuff.

49.
On the Classification of Multiplicity-Free Exterior Algebras,
Int. Math. Res. Not. 40 (2003), 2181-2191.
Date: Mar. 31, 2003. Length: 9pp., 55K.

48.
A Concise Proof of the Littlewood-Richardson Rule,
Electron. J. Combin. 9 (2002), N5, 4pp.
Date: Mar. 15, 2002. Length: 4pp., 47K.

47.
Multiplicity-Free Products and Restrictions of Weyl Characters,
Represent. Theory 7 (2003), 404-439.
Date: Dec. 8, 2001; minor updates Sept. 21, 2003. Length: 40pp., 150K.

46.
A Local Characterization of Simply-Laced Crystals,
Trans. Amer. Math. Soc. 355 (2003), 4807-4823.
Date: June 29, 2001; minor revisions Feb. 12, 2002. Length: 18pp., 98K.
Update: P. Sternberg has proved the relations for B2-crystals conjectured at the end of the paper. See math.QA/0610704.

45.
A Weighted Enumeration of Maximal Chains in the Bruhat Order,
J. Algebraic Combinatorics 15 (2002), 291-301.
Date: Mar. 6, 2001. Length: 11pp., 66K.

44.
Combinatorial Models for Weyl Characters,
Advances in Math. 168 (2002), 96-131.
Date: Feb. 18, 2001. Length: 29pp., 125K.

43.
Multiplicity-Free Products of Schur Functions,
Annals of Combinatorics 5 (2001), 113-121.
Date: Mar. 24, 2000; minor revisions Mar. 28, 2000. Length: 11pp., 60K.

42.
Quasi-Minuscule Quotients and Reduced Words for Reflections,
J. Algebraic Combinatorics 13 (2001), 275-293.
Date: Aug. 26, 1999; minor revisions July 5, 2000. Length: 21pp., 99K.
This paper and #41 are related to an ongoing series of papers by Bob Proctor.

41.
Minuscule Elements of Weyl Groups,
J. Algebra 235 (2001), 722-743.
Date: Aug. 23, 1999; minor revisions May 16, 2000. Length: 21pp., 89K.

40.
Counting Points on Varieties over Finite Fields Related to a Conjecture of Kontsevich,
Annals of Combinatorics 2 (1998), 365-385.
Also available as RIMS preprint #1217.
Date: Nov. 25, 1998; revised Dec. 7, 1998. Length: 24pp., 92K.
This is a sequel to Richard Stanley's paper, Spanning trees and a conjecture of Kontsevich. See also the related Maple programs and data over at my archive of Research Data and Other Useful Stuff.
Update [Dec 2000]: Kontsevich's conjecture has been disproved by P. Belkale and P. Brosnan. See math.AG/0012198.
Update [Sep 2009]: O. Schnetz has found the first explicit counterexamples to the Kontsevich conjecture. The smallest ones have 14 edges. See math.CO/0909.0905.
39.
Computational Aspects of Root Systems, Coxeter Groups, and Weyl characters,
in "Interactions of Combinatorics and Representation Theory" (pp. 1-38)
MSJ Memoirs 11, Math. Soc. Japan, Tokyo, 2001.
Also available as RIMS preprint #1216.
Date: Nov. 9, 1998; revised April 20, 2000; updated Aug. 15, 2001. Length: 38pp., 142K.

38.
(with A. Berele) Denominators for the Poincare Series of Invariants of Small Matrices,
Israel J. Math. 114 (1999), 157--175.
Date: Jan. 1998. Length: 18pp., 91K.

37.
A Construction of H4 without Miracles,
Discrete Comput. Geom. 22 (1999), 425-427.
Date: Mar. 1998. Length: 3pp., 30K.

36.
The Partial Order of Dominant Weights,
Advances in Math. 136 (1998), 340-364.
Date: Aug. 1997; minor corrections April 1998. Length: 24pp., 98K.

35.
(with D. J. Waugh) A Weyl Group Generating Function That Ought To Be Better Known,
Indag. Math. 9 (1998), 451-457.
Date: Nov. 1996. Length: 7pp., 34K.

34.
On the Poincare Series and Cardinalities of Finite Reflection Groups,
Proc. Amer. Math. Soc. 126 (1998), 3177--3181.
Date: Sept. 1996. Length: 6pp., 27K.

33.
The Enumeration of Fully Commutative Elements of Coxeter Groups,
J. Algebraic Combinatorics 7 (1998), 291-320.
Date: June 1996. Length: 32pp., 116K.

32.
(with C. K. Fan) Nilpotent Orbits and Commutative Elements,
J. Algebra 196 (1997), 490-498.
Date: Mar. 1996. Length: 9pp., 41K.

31.
Some Combinatorial Aspects of Reduced Words in Finite Coxeter Groups,
Trans. Amer. Math. Soc. 349, (1997), 1285-1332.
Date: Feb. 1996. Length: 60pp., 156K.

30.
On the Fully Commutative Elements of Coxeter Groups,
J. Algebraic Combinatorics 5 (1996), 353-385.
Date: Sept. 1995. Length: 33pp., 96K.

29.
Enriched P-Partitions,
Trans. Amer. Math. Soc. 349 (1997), 763-788.
Date: Feb. 1995. Length: 32pp., 91K.

28.
Canonical Bases and Self-Evacuating Tableaux,
Duke Math. J. 82 (1996), 585-606.
Date: July 1995. Length: 25pp., 75K.

26.
On Minuscule Representations, Plane Partitions And Involutions In Complex Lie Groups,
Duke Math. J. 73 (1994), 469-490.
Date: Sept. 1993. Length: 25pp., 75K.

See also my collection of other articles.


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