ROSA ORELLANA

"My work has always tried to unite the true with the beautiful and when I had to choose one or the other, I usually chose the beautiful." -- Hermann Weyl.

Research supported in part by the National Science Foundation

Publications and Preprints

   The skew immaculate Hecke poset and 0-Hecke modules (with N. Lafreniere, A. Pun, S. Sundaram,
        S. van Willigenburg, and T. Whitehead McGinley) preprint (2024).

   The lattice of submonoids of the uniform block permutations containing the symmetric group
        (with F. Saliola, A. Schilling, and M. Zabrocki) preprint (2024).

   The chromatic symmetric function in the star-basis (with M. Gonzalez and M. Tomba) preprint (2024).

   From quasi-symmetric to Schur expansions with applications to symmetric chain decompositions and plethysm
        (with F. Saliola, A. Schilling and M. Zabrocki) Electron. J. Combin. 31 (2024), no. 4, Paper No. 4.23.

   The mystery of plethysm coefficients (with L. Colmenarejo, F. Saliola, A. Schilling and M. Zabrocki)
        Proc. Sympos. Pure Math., 110 American Mathematical Society, Providence, RI, 2024, 275–292.

   Representations of quasi-partition algebras (with N. Wallace and M. Zabrocki), J. Algebra 655 (2024), 758–793.

    The symmetric group through a dual perspective (with M. Zabrocki) Notices Amer. Math. Soc. 70 (2023),
        no. 6, 897–904.

    Marked Graphs and the Chromatic Symmetric Function (with J. Aliste-Prieto, A. De Mier and J. Zamora)
        SIAM J. Discrete Math. 37 (2023), no. 3, 1881–1919.

   Howe duality of the symmetric group and a multiset partition algebra (with M. Zabrocki) Comm. Algebra
        51 (2023), no. 1, 393–413.

   Plethysm and the algebra of uniform block permutations (with F. Saliola, A. Schilling and M. Zabrocki)
        Algebr. Comb. 5 (2022), no. 5, 1165–1203.

   Symmetric group characters as symmetric functions (with M. Zabrocki) Adv. Math. 390 (2021),
        Paper No. 107943, 34 pp.

   The Hopf structure of symmetric group characters as symmetric functions (with M. Zabrocki) Algebr. Comb.
        4 (2021), no. 3, 551–574.

   A combinatorial model for the decomposition of multivariate polynomials rings as an $S_n$-module
        (with M. Zabrocki) The Elect. Journal of Comb. 27(3) (2020), #P3.24.

   An insertion algorithm on multiset partitions with applications to diagram algebras (with L. Colmenarejo,
        F. Saliola, A. Schilling and M. Zabrocki) Journal of Algebra, 557 (2020), 97128.

   Commutation and normal ordering for operators on symmetric functions (with E. Briand, P. McNamara
        and M. Rosas), Sém. Lothar. Combin. 80 (2019), Article B80d.

   Products of characters of the symmetric group (with M. Zabrocki) Journal of Combinatorial Theory, Series A,
        165, (2019), pages 299-324.

   A minimaj-preserving crystal on ordered multiset partitions (with G. Benkart, L. Colmenarejo, P. Harris,
        G. Panova, A. Schilling, and M. Yip), Advances in Applied Math. Volume 95, April 2018, Pages 96–115.

   The number of permutations with the same peak set for sign permutations (with F. Castro-Velez, A. Diaz-
       Lopez, J. Pastrana and R. Zevallos), Journal of Combinatorics, Vol. 8 , No. 4 (2017), pp. 631-652.

   Rectangular symmetries for coefficients of symmetric functions (with E. Briand and M. Rosas),
        Elect. Journal of Comb., vol. 22, (3), (2015), #P3-15.

   The partition algebra and the Kronecker coefficients (with C. Bowman and M. De Visscher),
        Trans. Amer. Math. Soc. 367 (2015), no. 5, 3647–3667.

    Schur positivity in a square (with C. Ballantine), The Elect. Journal of Comb. 21 (3) (2014), #P3.46

    Graphs with equal chromatic symmetric function (with G. Scott), Discrete Mathematics, Volume 320,
        6 April 2014, Pages 1-14

    The quasi-partition algebra (with Z. Daugherty), Journal of Algebra, Volume 404, 15 February 2014,
        Pages 124-151.

   The partition algebra and the Kronecker product (with C. Bowman and M. De Visscher), Discrete
        Math. Theor. Comput. Sci. proc. AS 2013, 321 - 332.

   The stability of the Kronecker product of Schur functions (with E. Briand and M. Rosas), Discrete
        Math. Theor. Comput. Sci. Proc., AN, pp. 557-567, Nancy, 2010.

    The stability of the Kronecker product of Schur functions (with E. Briand and M. Rosas) J. Algebra
        331 (2011), 11-27.

   Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (with E.
        Briand and M. Rosas), FPSAC 2009, Hagenberg, Austria, Discrete Mathematics and Theoretical
       Computer Science Proc. AK, 2009, 241-252

   Reduced Kronecker coefficients and counter-examples to Mulmuley's saturation conjecture SH, with an
       appendix by Ketan Mulmuley (with E. Briand and M. Rosas), Computational Complexity 18 (2009),
        no. 4, 577-600

   The Hilbert series for the ring of Hook Schur functions (with M. Zabrocki), Preprint.  

   Cyclotomic Solomon Algebras (with A. Mathas), Adv. Math. 219 (2008), no. 2, 450--487.

   The Hopf Algebra of Uniform block Permutations (with M. Aguiar), J. Algebraic Combin. 28
       (2008), no. 1, 115--138.

       An extended abstract of 13 pages appeared in: Proceedings of the Formal Power Series and Algebraic
        Combinatorics 2005 Available at: http://lanl.arxiv.org/abs/math.RA/0505199.

   On the partition algebras of complex reflection groups, Journal of Algebra, 313 (2007) 590-616.

   A combinatorial interpretation for the coefficients in the Kronecker product s_{(n,n-p)}* s_\lambda
        (with C. Ballantine), Sém. Lothar. Combin. 54A (2006), Art. B54Af, 29 pp.

   Affine Braids, Markov traces and the category O, (with A. Ram) Algebraic groups and homogeneous
        spaces, 423-473, Tata Inst. Fund. Res. Stud. Math., Tata Inst. Fund. Res., Mumbai, 2007.

    New Results on the Peak algebra (with M. Aguiar and K. Nyman), J. of Algebraic Combinatorics.
        Vol. 23, No.2 (2006), pg. 149-188

    On the Kronecker product $s_{(n-p,p)}\ast s_{\lambda}$ (with C. Ballantine), Elec. Journal of
        Combinatorics. Vol. 12, (2005), #R28, 1-26.

    On the algebraic decomposition of centralizer algebras of the hyperoctahedral group, Contemporary
        Math. 376, (2005), 345-357.

   Rooted trees and the representation theory of iterated wreath products of abelian groups (with M.
        Orrison and D. Rockmore), Adv. in Applied Math. 33, Issue 3, (2004), 531-547.

   q-Centralizer algebras for spin groups (with H. Wenzl), Journal of Algebra, 253 (2002) 237-275.

   Hecke algebras of type B and type D and Subfactors, Pacific Journal of Math.  Vol 199, No. 1 (2001)
       137-161.

   Markov traces and Hecke algebras at roots of unity, Proceedings of the Formal Power Series and Algebraic
        Combinatorics, 1999. pp. 405-416.

   Weights of Markov traces on Hecke algebras, J. Reine Angew Math. 508, (1999) 157-178.

   The Hecke algebra of type B at roots of unity, Markov traces and subfactors. Ph.D. Thesis, UCSD 1999.