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.
 66.
 (with N. Bonneux, Z. Hamaker and M. Stevens)
Wronskian Appell Polynomials and Symmetric Functions,
Advances in Applied Math., to appear.
Also available here:
arXiv:1812.01864 [math.CA]
Date: Dec. 5, 2018; minor revisions July 9, 2019.
Length: 18pp., 354K.
 65.

Signtwisted Poincaré Series and Odd Inversions in Weyl Groups,
Algebraic Combinatorics, to appear.
Date: Jul. 23, 2018; minor revisions Jan 17, 2019.
Length: 29pp., 357K.
 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 WGraphs,
Advances in Math. 229 (2012), 24052414.
Date: July 22, 2011; typo corrected Jan 3, 2012.
Length: 11pp., 135K.
 62.

Admissible WGraphs and Commuting Cartan Matrices,
Advances in Applied Math. 44 (2010), 203224.
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), 576582.
Date: Feb. 28, 2009; minor revisions Sept. 1, 2009.
Length: 9pp., 129K.
 60.

Admissible WGraphs,
Represent. Theory 12 (2008), 346368.
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), 423444.
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 hvectors,
Advances in Math. 217 (2008), 19351961.
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), 12201237.
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), 155165.
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), 141148.
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, 183236.
Date: Mar. 31, 2005.
Length: 46pp., 171K.
 52.

Counterexamples to the Poset Conjectures of Neggers, Stanley,
and Stembridge,
Trans. Amer. Math. Soc. 359 (2007), 11151128.
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), 267289.
Date: Feb. 24, 2004.
Length: 27pp., 107K.
Important: See the erratum
in
Represent. Theory 10 (2006), 4848.
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 MultiplicityFree Exterior Algebras,
Int. Math. Res. Not.
40 (2003), 21812191.
Date: Mar. 31, 2003.
Length: 9pp., 55K.
 48.

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

MultiplicityFree Products and Restrictions of Weyl Characters,
Represent. Theory 7 (2003), 404439.
Date: Dec. 8, 2001; minor updates Sept. 21, 2003.
Length: 40pp., 150K.
 46.

A Local Characterization of SimplyLaced Crystals,
Trans. Amer. Math. Soc. 355 (2003), 48074823.
Date: June 29, 2001; minor revisions Feb. 12, 2002.
Length: 18pp., 98K.
Update: P. Sternberg has proved the relations for
B_{2}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), 291301.
Date: Mar. 6, 2001.
Length: 11pp., 66K.
 44.

Combinatorial Models for Weyl Characters,
Advances in Math. 168 (2002), 96131.
Date: Feb. 18, 2001.
Length: 29pp., 125K.
 43.

MultiplicityFree Products of Schur Functions,
Annals of Combinatorics 5 (2001), 113121.
Date: Mar. 24, 2000; minor revisions Mar. 28, 2000.
Length: 11pp., 60K.
 42.

QuasiMinuscule Quotients and Reduced Words for Reflections,
J. Algebraic Combinatorics 13 (2001), 275293.
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), 722743.
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), 365385.
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. 138)
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 Poincaré Series of Invariants of
Small Matrices,
Israel J. Math. 114 (1999), 157175.
Date: Jan. 1998. Length: 18pp., 91K.
 37.

A Construction of H_{4} without Miracles,
Discrete Comput. Geom. 22 (1999), 425427.
Date: Mar. 1998. Length: 3pp., 30K.
 36.

The Partial Order of Dominant Weights,
Advances in Math. 136 (1998), 340364.
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), 451457.
Date: Nov. 1996. Length: 7pp., 34K.
 34.

On the Poincaré Series and Cardinalities of Finite
Reflection Groups,
Proc. Amer. Math. Soc. 126 (1998), 31773181.
Date: Sept. 1996. Length: 6pp., 27K.
 33.

The Enumeration of Fully Commutative Elements of Coxeter Groups,
J. Algebraic Combinatorics 7 (1998), 291320.
Date: June 1996. Length: 32pp., 116K.
 32.
 (with C. K. Fan)
Nilpotent Orbits and Commutative Elements,
J. Algebra 196 (1997), 490498.
Date: Mar. 1996. Length: 9pp., 41K.
 31.

Some Combinatorial Aspects of Reduced Words in Finite Coxeter Groups,
Trans. Amer. Math. Soc. 349, (1997), 12851332.
Date: Feb. 1996. Length: 60pp., 156K.
 30.

On the Fully Commutative Elements of Coxeter Groups,
J. Algebraic Combinatorics 5 (1996), 353385.
Date: Sept. 1995. Length: 33pp., 96K.
 29.

Enriched PPartitions,
Trans. Amer. Math. Soc. 349 (1997), 763788.
Date: Feb. 1995. Length: 32pp., 91K.
 28.

Canonical Bases and SelfEvacuating Tableaux,
Duke Math. J. 82 (1996), 585606.
Date: July 1995. Length: 25pp., 75K.
 26.

On Minuscule Representations, Plane Partitions And
Involutions In Complex Lie Groups,
Duke Math. J. 73 (1994), 469490.
Date: Sept. 1993. Length: 25pp., 75K.
See also my collection of
other articles.
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