Rosa C. Orellana

Academic Appointments

Professor of Mathematics

Department(s): 
Mathematics
Education: 
B.S. California State University at Los Angeles
M.A. University of California at San Diego
Ph.D. University of California at San Diego

Selected Publications

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

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

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.

 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.

 The Hopf structure of symmetric group characters as symmetric functions (with M. Zabrocki) Algebraic Combinatorics, Volume 4 (2021) no. 3, pp. 551-574.

Symmetric group characters as symmetric functions (with M. Zabrocki) Advances in Mathematics, Volume 390, 29 October 2021, 107943.

Works in progress

 Howe duality of the symmetric group and a multiset partition algebra (with M. Zabrocki) preprint (2020).

Plethysm and the algebra of uniform block permutations (with F. Saliola, A. Schilling and M. Zabrocki) preprint (2021).