Preprints Arun Ram |
Department of Mathematics and Statistics University of Melbourne Parkville VIC 3010 Australia aram@unimelb.edu.au |
(33) Two boundary Hecke algebras and combinatorics of type C, (with Z. Daugherty), preprint 2015, arXiv????.????.
(33) Cyclic representations of the periodic Temperley Lieb algebra, complex Virasoro representations and stochastic processes, (with F.C. Alcaraz and V. Rittenberg), preprint 2014, arXiv1402.5990, appeared in in J. Phys. A: Math Theor. 47 (2014) 212003.
(32) Generalized Schubert Calculus, (with N. Ganter), preprint 2012, arXiv1212.5742, appeared in J. Ramanujan Math. Soc. 28A (Special Issue-2013), 149-190.
(31) Hopf algebras and Markov chains: Two examples and a theory, (with P. Diaconis and A. Pang), preprint 2012, arXiv1206.3620, appeared in Journal of Algebraic Combinatorics 39 (2014) 527-585 http://dx.doi.org/10.1007/s10801-013-0456-7.
(30) Affine and degenerate affine BMW algebras: Actions on tensor space (with Z. Daugherty and R. Virk), preprint 2012, arXiv1205.1852, appeared in Selecta Mathematica 19 no. 2 (2013) 611-653.
(29) Symmetry breaking, subgroup embeddings and the Weyl group (with D. George, J. Thompson and R. Volkas), preprint 2012, arXiv1203.1048, appeared in Physical Review D 87 105009 (2013) [14 pages] http://prd.aps.org/abstract/PRD/v87/i10/e105009.
(28) Affine and degenerate affine BMW algebras: The center (with Z. Daugherty and R. Virk), preprint 2011, arXiv1105.4207, appeared in Osaka J. Math 51 (2014), 257-283.
(27) Universal Specht modules for cyclotomic Hecke algebras (with A. Kleshchev and A. Mathas), preprint 2011, arXiv1102.3519, appeared in Proc. London Math. Soc. (3) 105 (2012) 1245-1289.
(26) A probabilistic interpretation of the Macdonald polynomials (with P. Diaconis), preprint 2010, arXiv1007.4779, appeared in The Annals of Probability 40 (2012) Vol. 40 No. 5, 1861-1896, DOI 10.1214/11-AOP674, arXiv1007.4779, MR??????
(25) Universal Verma modules and the Misra-Miwa Fock space (with P. Tingley), preprint 2010, arXiv1002.0558, appeared in Int. J. Math. and Math. Sci., special issue on “Categorification in Representation Theory”, Volume 2010, Article ID 326247, 19 pages, doi:10.1155/2010/326247.
(24) Representations of Khovanov-Lauda-Rouquier Algebras and Combinatorics of Lyndon Words (with A. Kleshchev), preprint 2009, arXiv0909.1984, appeared in Math. Ann. 349 (2011), 943-975, DOI 10.1007/s00208-010-0543-1.
(23) Homogeneous representations of Khovanov-Lauda algebras (with A. Kleshchev), preprint 2008, arXiv0809.0557, appeared in J. Eur. Math. Soc. 12 (2010), 1293-1306, DOI 10.4171/JEMS/230.
(22) Alcove walks, buildings, symmetric functions and representations (with J. Parkinson), preprint 2008, arXiv0807.3602.
(21) MathML for mathematics research articles (flexible version), stable version, pdf version, preprint 2008.
(20) A combinatorial formula for Macdonald polynomials, (with M. Yip) preprint 2008, arXiv0803.1146, Adv. Math. 226 (2011), 309-331, doi:10.1016/j.aim.2010.06.022.
(19) Combinatorics in affine flag varieties, (with J. Parkinson and C. Schwer) preprint 2008, arXiv:0801.0709, appeared Journal of Algebra 321 (2009) 3469-3493, doi:10.1016/j.jalgebra.2008.04.015.
(18) Commuting families in Hecke and Temperley-Lieb algebras, (with T. Halverson and M. Mazzocco) preprint 2007, arXiv:0710.0596, appeared in Nagoya Math. J. 195 (2009), 125-152.
(17) Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux, preprint 2005, arXiv:0601.343, appeared in Pure and Applied Mathematics Quarterly 2 no. 4 (Special Issue: In honor of Robert MacPherson, Part 2 of 3) (2006) 963-1013.
(16) Affine Hecke algebras and the Schubert calculus, (with S. Griffeth), preprint 2003, arXiv:0405333, appeared in European J. of Combinatorics, Special Volume in honor of Alain Lascoux on the occasion of his 60th birthday, 25 8 (2004) 1263-1283.
(15) Partition algebras, (with T. Halverson), preprint 2003, arXiv:0401314, appeared in European J. of Combinatorics, 26 (2005) 869-921.
(14) Kostka-Foulkes polynomials and Macdonald spherical functions (with K. Nelsen), preprint 2003, arXiv:0401298, Published in Surveys in Combinatorics 2003 , C. Wensley ed., London Math. Soc. Lect. Notes 307 , Cambridge University Press, 2003.
(13) Affine braids, Markov traces and the category O (with R. Orellana), preprint 2001, arXiv:0401317, appeared in Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces Mumbai 2004, V.B. Mehta ed., Tata Institute of Fundamental Research, Narosa Publishing House, Amer. Math. Soc. (2007) 423-473. This paper has an additional picture: Figure 1.
(12) Representations of graded Hecke algebras (with C. Kriloff), original preprint 2001. Revised version published in Representation Theory, 6 (2002), 31--69.
(11) Classification of graded Hecke algebras for complex reflection groups (with A. Shepler), preprint 2001, arXiv:0209.135, Published in Commentari Mathematici Helvetici, 78 No. 2 (2003), 308-334.
(10) Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques (with P. Diaconis), original preprint 2000, arXiv:0401318. Shortened version published in Michigan Mathematical Journal , 48 (2000), 157--190.
(9) Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory (with J. Ramagge), preprint 1999, arXiv:0401322. This paper has additional pictures: Figure 1 , Figure 2 and Figure 3 . Published in A tribute to C.S. Seshadri: Perspectives in Geometry and Representation theory, V. Lakshimibai et al eds., Hindustan Book Agency , New Delhi (2003), 428--466.
(8) Calibrated representations of affine Hecke algebras, preprint 1998, arXiv:0401323. These results have been published in Affine Hecke algebras and generalized standard Young tableaux, J. Algebra, 230 (2003), 367--415.
(7) Standard Young tableaux for finite root systems, preprint 1998, arXiv:0401329. These results have been published in Affine Hecke algebras and generalized standard Young tableaux, J. Algebra, 230 (2003), 367--415.
(6) Skew shape representations are irreducible, preprint 1998, arXiv:0401326. This paper has additional pictures: Figure 1 and Figure 2a and Figure 2b . Published in Combinatorial and Geometric representation theory , S.-J. Kang and K.-H. Lee eds., Contemp. Math. 325 Amer. Math. Soc. 2003, 161-189.
(5) Representations of rank two affine Hecke algebras, preprint 1998, arXiv:0401327. Published in "Advances in Algebra and Geometry, University of Hyderabad conference 2001", Ed. C. Musili, Hindustan Book Agency , 2003, 57-91.
(4) A Pieri-Chevalley formula for K(G/B), preprint 1998, arXiv:0401332.
(3) A survey of quantum groups: background, motivation, and results, in "Geometric analysis and Lie theory in mathematics and physics'', A. Carey and M. Murray eds., Australian Math. Soc. Lecture Notes Series, 11 Cambridge University Press, 1997, pp. 20-104. MR1690844
(2) Combinatorial Representation Theory (with H. Barcelo), preprint 1997, arXiv:9707.221. Published in New perspectives in algebraic combinatorics (Berkeley, CA, 1996--97) , Math. Sci. Res. Inst. Publ., 38 , Cambridge Univ. Press, Cambridge, 1999, pp. 23--90.
(2) A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and Type A Iwahori-Hecke algebras (with R. Leduc), Advances in Math. 125 (1997), 1-94. MR1427801
(2) Standard Lyndon bases of Lie algebras and enveloping algebras (with P. Lalonde), Trans. of the Amer. Math. Soc. 347 (1995), 1821-30. MR1273505
(1) Weyl group symmetric functions and the representation theory of Lie algebras, Proceedings of the 4th conference "Formal Power Series and Algebraic Combinatorics", Publ. LACIM 11 (1992), 327-342.
(0) Dissertation Chapter 1, Unpublished chapter of Ph.D. Thesis