Department of Mathematics
Professional Interests: Representation theory of Lie groups, mathematics education
Recent Publications:
| 2021 | [MR4272991] Sign signatures and characters of Weyl Groups . Adv. in Appl. Math. 130 (2021), Paper No. 102225, 73 pp. --- Folz-Donahue, Thomas ; Jackson, Steven Glenn ; Milev, Todor ; Noël, Alfred G. |
| 2020 | [MR4092988] Incidence geometry in a Weyl chamber I: GLn . Adv. in Appl. Math. 119 (2020), 102048, 30 pp. --- Esole, Mboyo ; Jackson, Steven Glenn ; Jagadeesan, Ravi ; Noël, Alfred G. |
| [MR4092989] Incidence geometry in a Weyl chamber II: SLn . Adv. in Appl. Math. 119 (2020), 102049, 67 pp. --- Esole, Mboyo ; Jackson, Steven Glenn ; Jagadeesan, Ravi ; Noël, Alfred G. | |
| 2009 | [MR2559852] A new approach to computing generators for U(g)K. . J. Algebra 322 (2009), no. 8, 2607--2620. --- Jackson, Steven Glenn ; Noël, Alfred G. |
| 2008 | [MR2484679] The atlas of Lie groups and representations: scope and successes . Council for African American Researchers in the Mathematical Sciences. Vol. V, 85--101, Contemp. Math., 467, Amer. Math. Soc., Providence, RI, 2008. --- Noël, Alfred G. |
| [MR2484680] Maximal tori of reductive centralizers of nilpotents in exceptional complex symmetric spaces: a computational approach . Council for African American Researchers in the Mathematical Sciences. Vol. V, 103--139, Contemp. Math., 467, Amer. Math. Soc., Providence, RI, 2008. --- Noël, Alfred G. | |
| 2006 | [MR2293596] Prehomogeneous spaces associated with nilpotent orbits in simple real Lie algebras E6(6) and E6(?26) and their relative invariants . Experiment. Math. 15 (2006), no. 4, 455--469. --- Jackson, Steven Glenn ; Noël, Alfred G. |
| [MR2387156] A general computational scheme for testing admissibility of nilpotent orbits of real Lie groups of inner type . Mathematical software—ICMS 2006, 1--11, Lecture Notes in Comput. Sci., 4151, Springer, Berlin, 2006. --- Noël, Alfred G. | |
| [MR2262526] Prehomogeneous spaces associated with real nilpotent orbits . J. Algebra 305 (2006), no. 1, 194--269. --- Jackson, Steven Glenn ; Noël, Alfred G. | |
| [MR2176406] Some remarks on Richardson orbits in complex symmetric spaces . Math. Comp. 75 (2006), no. 253, 395--417. --- Noël, Alfred G. | |
| 2005 | [MR2142384] Prehomogeneous spaces associated with complex nilpotent orbits . J. Algebra 289 (2005), no. 2, 515--557. --- Jackson, Steven Glenn ; Noël, Alfred G. |
| 2004 | [MR2233212] Computing theta-stable parabolic subalgebras using LiE . Computational science—ICCS 2004. Part IV, 335--342, Lecture Notes in Comput. Sci., 3039, Springer, Berlin, 2004. --- Noël, Alfred G. |
| 2003 | [MR2086589] Computing maximal tori using LiE and Mathematica . Computational science—ICCS 2003. Part I, 728--736, Lecture Notes in Comput. Sci., 2657, Springer, Berlin, 2003. --- Noël, Alfred G. |
| 2001 | [MR1870599] Classification of admissible nilpotent orbits in simple real Lie algebras E6(6) and E6(?26) . Represent. Theory 5 (2001), 494--502. --- Noël, Alfred G. |
| [MR1870598] Classification of admissible nilpotent orbits in simple exceptional real Lie algebras of inner type . Represent. Theory 5 (2001), 455--493. --- Noël, Alfred G. | |
| 2000 | [MR1783916] Component groups of centralizers of nilpotents in complex symmetric spaces . J. Algebra 232 (2000), no. 1, 94--125. --- King, Donald R. ; Noël, Alfred G. |
| 1998 | [MR1600330] Nilpotent orbits and theta-stable parabolic subalgebras . Represent. Theory 2 (1998), 1--32. --- Noël, Alfred G. |
| 1997 | [MR1482262] Classification of nilpotent orbits in symmetric spaces . African Americans in mathematics (Piscataway, NJ, 1996), 123--127, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 34, Amer. Math. Soc., Providence, RI, 1997. --- Noël, Alfred G. |
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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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