Publications

• Peter E. Trapa & Leticia Barchini (2024). Relating real and p-adic Kazhdan-Lusztig polynomials. arxiv preprint. Published, 02/2024.
  https://arxiv.org/abs/2402.17956
• Peter E. Trapa & Leticia Barchini (2024). A note on the orbits of a symmetric subgroup in the flag variety. arxiv preprint. Published, 02/2024.
  https://arxiv.org/abs/2402.17952
• Peter E. Trapa, Jeffrey D. Adams, Marc van Leeuwen & David A. Vogan (2020). Unitary Representations of Real Reductive Groups. (pp. 186). Vol. 417, Asterisque. Published, 01/2020.
• Peter E. Trapa, Leticia Barchini & Petr Somberg (2019). Reducible characteristic cycles of Harish Chandra modules for U(p,q) and the Kashiwara-Saito singularity. Communications in Algebra. Vol. 47, 4874-4888. Published, 12/2019.
• Peter E. Trapa, Dan Barbasch & Pavle Pandzic (2019). Dirac index and twisted characters. Transactions of the AMS. Vol. 371, 1701-1733. Published, 07/2019.
• Peter E. Trapa, Henrik Schlichtkrull & David A. Vogan (2018). Laplacians on Spheres. São Paulo Journal of Mathematics. Vol. 12, 295-358. Published, 04/2018.
• Peter E. Trapa & William M. McGovern (2016). The mathematical work of David A. Vogan, Jr. Birkhauser/Springer. 1-10. Published, 01/06/2016.
• Peter E. Trapa & Monica Nevins (2016). Representations of Reductive Groups. Vol. Progress in Math(317). Springer Verlag. Published, 01/2016.
  http://www.springer.com/gp/book/9783319234427
• Peter E. Trapa, Dan Ciubotaru & Eric Opdam (2014). Algebraic and analytic Dirac induction for graded affine Hecke algebras. Journal de l'Institute de Mathematiques de Jussieu. Vol. 13, 447-486. Published, 09/2014.
• Peter E. Trapa & Dan Ciubotaru (2013). Appendix to: Small representations, string instantons, and Fourier modes of Eisenstein series by Michael B. Green, Stephen D. Miller, and Pierre Vanhove. Journal of Number Theory. Vol. 146, 187-309. Published, 01/2013.
• Characters of Springer representations on ellitpic conjugacy classes (with Dan Ciubotaru), Duke Mathematical Journal, 162 (2013), no. 2, 201-223. Published, 01/2013.
• The exotic Robinson-Schensted correspondence (with Anthony Henderson). Journal of Algebra, 270 (2012), 32-45. Published, 12/2012.
• Dirac cohomology for graded affine Hecke algebras (with Dan Barbasch and Dan Ciubotaru), Acta Mathematica, 209 (2012), no. 2, 197-227. Published, 11/2012.
• Duality for nonlinear simply laced groups (with Jeffrey Adams), Compositio Mathematica, 148 (2012), no. 3, 931-965. Published, 06/2012.
• Regular orbits of symmetric subgroups on partial flag varieties (with D. Ciubotaru and K. Nishiyama), Representation Theory, Complex Analysis, and Integral Geometry Vol. 2, Progress in Mathematics, Birkhauser (2012), 61-86. Published, 01/2012.
• Duality for GL(n,R) and the degenerate affine Hecke algebra for gl(n) (with Dan Ciubotaru), American Journal of Math. 134 (2012), no. 1, 141-170. Published, 01/2012.
• Stable combinations of special unipotent representations (with Dan Barbasch), Contemp. Math. 557 (2011), 213-228. Published, 01/2011.
• Functors for unitary representations of real classical groups and affine Hecke algebras (with Dan Ciubotaru), Advances in Math 227 (2011), no. 4, 1585-1611. Published, 01/2011.
• Pattern avoidence and smoothness for orbits of a symmetric subgroup in the flag variety (with W. M. McGovern), Journal of Algebra, 322 (2009), 2713-2730. Published, 01/2009.
• Integrals over the Springer fiber for sl(n,C), a stand-alone version of an appendix that appeared in Representation Theory, 12 (2008), 403-434. Published, 01/2008.
• Barbasch, D., Adams, J., Vogan Jr., D. A., Trapa, P. & Paul, A. (2007). Unitary Shimura correspondences for split real groups. American Mathematical Society (AMS). Vol. 20(03), 701-751. Published, 2007.
• Some small unipotent representations of indefinite orthogonal groups and the theta correspondence (with Annegret Paul), University of Aarhus Publication Series, 48 (2007), 103-125. Published, 01/2007.
• Derived functor modules arising as large constituents of degenerate principal series (with Hisayosi Matumoto), Compositio Mathematica, 143 (2007), 222-256. Published, 01/2007.
• Shimura correspondences for split real groups (with Jeffrey Adams, Dan Barbasch, Annegret Paul, and David Vogan), Journal of the American Math Society, 20 (2007), 701-751. Published, 01/2007.
• Peter E. Trapa, Kyo Nishiyama & Akihito Wachi (2016). Codimension one connectedness of the graph of associated varieties. Tohuku Journal of Math. (2). Vol. 68, 199-239. Published, 04/2016.
• Peter E. Trapa, Kyo Nishiyama & Akihito Wachi (2016). Codimension one connectedness of the graph of associated varieties. Tohoku Journal of Mathematics. 199-239. Published, 03/2016.
• Peter E. Trapa & Monica Nevins (2016). Representations of Reductive Groups (in Honor of the 60th Birthday of David A. Vogan, Jr.). Vol. 312. Birkhauser/Springer. Published, 01/06/2016.
  https://link.springer.com/book/10.1007/978-3-319-2...
• Trapa, Peter E. (2008). Representation Theory of Real Reductive Lie Groups. Amer Mathematical Society. Published, 11/16/2008.
• Trapa, Peter E. & Matumoto, Hisayosi (2007). Derived functor modules arising as large irreducible constituents of degenerate principal series. Oxford University Press (OUP). Vol. 143(01), 222. Published, 2007.
• Trapa, Peter E. (2007). Leading-term cycles of Harish-Chandra modules and partial orders on components of the Springer fiber. Oxford University Press (OUP). Vol. 143(02), 515-540. Published, 2007.
• Trapa, Peter E & Renard, David A (2005). Kazhdan-Lusztig algorithms for nonlinear groups and applications to Kazhdan-Patterson lifting. Johns Hopkins University Press. Vol. 127(5), 911-971. Published, 2005.
• Trapa, Peter E. (2005). Richardson orbits for real classical groups. Elsevier BV. Vol. 286(2), 361-385. Published, 2005.
• Trapa, Peter E. (2005). Symplectic and orthogonal Robinson–Schensted algorithms. Elsevier BV. Vol. 286(2), 386-404. Published, 2005.
• Trapa, Peter E (2004). Some small unipotent representations of indefinite orthogonal groups. Elsevier BV. Vol. 213(2), 290-320. Published, 2004.
• Algebraic and analytic Dirac induction for graded affine Hecke algebras (with Dan Ciubotaru and Eric Opdam), J. Inst. Math. Jussieu. Accepted, 02/2013.