Publications by R.M. Green

Note that most of the files below are gzipped to save space. You need gunzip to uncompress them. Reprints are available for the papers below that have appeared, and have the advantage of being more error-free (except in the case of On Representations of Affine Temperley-Lieb Algebras).

Papers accepted for publication

1. A Matrix Setting for the q-Schur Algebra

Journal of the London Mathematical Society 57 (1998), 289-308

Postscript or DVI

2. A Straightening Formula for Quantized Codeterminants,

Communications in Algebra 24(9) (1996), 2887-2913

Postscript or DVI

3. q-Schur Algebras as Quotients of Quantized Enveloping Algebras

Journal of Algebra 185 (1996), 660-687

Postscript or DVI

4. Quantized Symmetric Powers with R.J. Marsh

Quarterly Journal of Mathematics 48 (1997), 479-492

Postscript or DVI

5. Positivity Properties for q-Schur Algebras

Mathematical Proceedings of the Cambridge Philosophical Society 122 (1997), 401-414

Postscript or DVI

6. Monomials and Temperley-Lieb Algebras with C.K. Fan (Erdös number: 2)

Journal of Algebra 190 (1997), 498-517

Postscript only - includes diagrams

7. A Diagram Calculus for Certain Canonical Bases

Communications in Mathematical Physics 183 (1997), 521-532

Postscript only - includes diagrams

8. On the Affine Temperley-Lieb Algebras with C.K. Fan

Journal of the London Mathematical Society 60 (1999), 366-380

Postscript only - includes diagrams

9. On Representations of Affine Temperley-Lieb Algebras

Algebras and modules II, CMS Conference Proceedings 24 (1998), 245-261

Postscript only - includes diagrams

Revised again: 4 March 1998.

10. Hyperoctahedral Schur Algebras

Journal of Algebra 192 (1997), 418-438

Postscript or DVI.

11. Completions of Cellular Algebras

Communications in Algebra 27(11) (1999), 5349-5366

Postscript or DVI

12. Generalized Temperley-Lieb Algebras and Decorated Tangles

Journal of Knot Theory and its Ramifications 7 (1998), 155-171

Postscript only - includes diagrams

13. Cellular Algebras arising from Hecke Algebras of type H_n

Mathematische Zeitschrift 229 (1998), 365-383

Postscript only - includes diagrams

Revised (slightly): 29 July 1998

14. On Representations of Affine Temperley-Lieb Algebras, II with K. Erdmann

Pacific Journal of Mathematics 191 (1999), 243-273

Postscript only - includes diagrams

15. The Affine q-Schur Algebra

Journal of Algebra 215 (1999), 379-411

Postscript or DVI (contains one non-essential diagram)

16. Canonical Bases for Hecke Algebra Quotients with J. Losonczy (Erdös number: 2)

Mathematical Research Letters 6 (1999), 213-222

Postscript or DVI

17. A Projection Property for Kazhdan-Lusztig Bases with J. Losonczy

International Mathematics Research Notices 1 (2000), 23-34

Postscript or DVI

18. Decorated tangles and canonical bases

Journal of Algebra 246 (2001), 594-628

Postscript only - includes diagrams

19. Tabular algebras and their asymptotic versions

Journal of Algebra 252 (2002), 27-64

Postscript only - includes diagrams

20. Fully Commutative Kazhdan-Lusztig Cells with J. Losonczy

Annales de l'Institut Fourier 51 (2001), 1025-1045

Postscript or DVI

21. On planar algebras arising from hypergroups

Journal of Algebra 263 (2003), 126-150

Postscript only - includes diagrams

22. On 321-avoiding permutations in affine Weyl groups

Journal of Algebraic Combinatorics 15 (2002), 241-252

Postscript or DVI (contains one non-essential diagram)

23. Categories arising from tabular algebras

Glasgow Mathematical Journal 45 (2003), 333-352

Postscript or DVI (contains one non-essential diagram)

24. Standard modules for tabular algebras

Algebras and Representation Theory 7 (2004), 419-440

Postscript or DVI

25. Acyclic heaps of pieces, I

Journal of Algebraic Combinatorics 19 (2004), 173-196

Postscript only - includes diagrams

26. Acyclic heaps of pieces, II

Glasgow Mathematical Journal 46 (2004), 459-476

Postscript only - includes diagrams

27. On rank functions for heaps

Journal of Combinatorial Theory, Series A 102 (2003), 411-424

Postscript only - includes diagrams

28. Freely braided elements in Coxeter groups with J. Losonczy

Annals of Combinatorics 6 (2002), 337-348

Postscript or DVI

29. Freely braided elements in Coxeter groups, II with J. Losonczy

Advances in Applied Mathematics 33 (2004), 26-39

Postscript or DVI

30. Schubert varieties and free braidedness with J. Losonczy

Transformation Groups 9 (2004), 327-336

Postscript or DVI

31. Presenting affine q-Schur algebras with S.R. Doty

to appear in Mathematische Zeitschrift

PDF only - includes diagrams

32. Constructing cell data for diagram algebras with P.P. Martin

to appear in Journal of Pure and Applied Algebra

Postscript only - includes diagrams

33. Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond with P.P. Martin and A.E. Parker

to appear in Journal of Algebra

PDF only - includes diagrams

34. Generalized Jones traces and Kazhdan-Lusztig bases

to appear in the Journal of Pure and Applied Algebra

Postscript only - includes diagrams

35. Star reducible Coxeter groups

Glasgow Mathematical Journal 48 (2006), 583-609

Postscript only - includes diagrams

36. Full heaps and representations of affine Kac-Moody algebras

to appear in the International Electronic Journal of Algebra

Postscript only - includes diagrams

arXiv contributions

My arXiv contributions include some not yet accepted papers.

Theses

Cells and Representations of Hecke Algebras (Postscript or DVI)

M.Sc. dissertation, University of Warwick, 1993

q-Schur algebras and Quantized Enveloping Algebras (Postscript or DVI)

Ph.D. thesis, University of Warwick, 1995

Title page for thesis (Postscript or DVI)

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