Selected Mathematical Works
Alfred G. Noël
Refereed
Papers
- Progress and
Process in Math Excel at Northeastern University. Co
authors Maurice P. Gilmore, Thomas P. Stephens,Jr. The Center
for Innovation in Urban Education Studies, Volume II, 1996 edited by J.
Frazer, Northeastern University.
- Classification of
Nilpotent Orbits in Symmetric Spaces. Proceedings
of the American Mathematical Society DIMACS African Americans in
Mathematical Sciences volume 34 (123-127) 1997.
- Nilpotent
Orbits and Theta-stable Parabolic Subalgebras. American Mathematical Society Journal of
Representation Theory, Volume 2 (1-32) 1998. Click here to
get postscript version
- Component
Groups of Centralizers of Nilpotents in
Symmetric Space. Co-author
Donald R. King . Journal of Algebra Vol 232 (94-125) 2000. Click here to
get postscript version
- Classification of
Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Inner
Type. American Mathematical Society Journal of Representation
Theory, Volume 5 (455-493) 2001.
- Classification of
Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Type
E6(6) and E6(-26) American Mathematical Society Journal of
Representation Theory, Volume 5 (494-502) 2001.
- Computing maximal tori
using LiE and Mathematica. Lectures Notes in
Computer Science, Springer-Verlag. Vol 2657
(728-736) 2003.
- Computing theta-stable
parabolic subalgebras using LiE. Lectures Notes
in Computer Science, Springer-Verlag
Volume 3039 (335-342) 2004.
- A LiE
subroutine for computing prehomogeneous spaces associated with nilpotent
Complex Orbits Co-author Steven Glenn Jackson Lecture Notes in
Computer Science, Springer-Verlag Vol 3516, (611—618), 2005.
- A LiE
subroutine for computing prehomogeneous spaces associated to real nilpotent orbits Co-author
Steven Glenn Jackson Lecture Notes in Computer Science, Springer-Verlag Vol 3482, (512—521), 2005.
- Prehomogeneous spaces
associated with complex nilpotent orbits Co-author Steven Glenn Jackson Journal of Algebra Volume 289,
Issue 2, (515-557) 2005.
- Prehomogeneous spaces
associated to nilpotent orbits in simple real Lie algebras E6(6) and
E6(-26) Co-author
Steven Glenn Jackson. Experimental Mathematics Volume 15, Isuue 4, (455-469) 2006.
- Some remarks on
Richardson orbits in complex symmetric spaces American
Mathematical Society Mathematics of Computation. Volume 75 (395-417),
2006.
- Prehomogeneous spaces
associated with real nilpotent orbits,
with Steven Glenn Jackson. Journal of Algebra Volume 305, Issue 1,
(194-269) 2006.
- Polarizable theta-stable parabolic
subalgebras and $K_C$-saturation in the non-compact real forms of $G_2$
and $F_4$, with Steven Glenn
Jackson. Lecture Notes in Computer Science, Springer-Verlag Vol 3992,
(422—429), 2006.
- A general computational
scheme for testing admissibility of nilpotent orbits of real Lie groups of
inner type. Lecture Notes in Computer Science, Springer-Verlag
Vol 4151, (1—11), 2006.
- Maximal Tori of
Reductive Centralizers of Nilpotents in Complex
Symmetric Space American
Mathematical Society Contemporary Mathematics, Volume 467 (103 –
139) 2008.
- The Atlas of Lie
groups and representations: scope and successes American
Mathematical Society Contemporary Mathematics, Volume 467 (85 – 101) 2008.
- A new approach for
computing generators for U(g)^K with Steven Glenn Jackson Journal of Algebra Volume 322,
Issue 8, (2607-2620) 2009.
- Mining
Player Ranking Dynamics in Team Sports with
Paul Fomenky and Dan Simovici MLDM 2017, LNAI 10358, pp. 335–344,
2017.
- Incidence Geometry in a
Weyl Chamber I: GL_n,with Mboyo Esole, Steven Glenn Jackson, and Ravi Jagadeesan
http://arxiv.org/abs/1508.03038
Advances in Applied Mathematics 119 (2020) 102048.
- Incidence Geometry in a Weyl
Chamber II: SL_n,with Mboyo Esole, Steven Glenn Jackson, and Ravi Jagadeesan http://arxiv.org/abs/1601.05070
Advances in Applied Mathematics 119 (2020) 102049.
- Tau Signatures and
Characters of Weyl Groups with Steven
Glenn Jackson, Todor Milev, and
Thomas Folz-Donahue https://arxiv.org/pdf/1810.05556.pdf
Advances in Applied Mathematics 130 (2021) 102225.
Memoirs
and Books
- Ph. D. Thesis, Northeastern
University, March 1997.
- Council for
African American Researchers in the Mathematical Sciences: Volume III.
Fifth Conference for African American Researchers in the Mathematical
Sciences, June 22-25, 1999, University of Michigan, Ann Arbor, Michigan. Alfred G. Noël, Earl Barnes, Sonya A. F. Stephens
Editors. American Mathematical Society Contemporary Mathematics, Volume
275. (2001)
- Council
for African American Researchers in the Mathematical Sciences: Volume V.
Thirteenth Conference for African American Researchers in the Mathematical
Sciences, June 19-22, 2007, Northeastern University and the University of
Massachusetts Boston. Alfred G.
Noël, Donald R. King, Gaston M. N’Guérékata, Edray H. Goins Editors.
American Mathematical Society Contemporary Mathematics, Volume 467. (2008)
- Analiz Matematik Tòm I dezyèm edisyon. Alfred G.
Noël JEBCA
USA (2022)
- Analiz Matematik Tòm II dezyèm edisyon. Alfred G.
Noël JEBCA USA (2022)
- Cours de
Géométrie Terminale S et Propédeutiques Alfred G. Noël JEBCA USA (To appear)
- Kou Jewometri Segondè III, IV ak Ane preparatwa Alfred
G. Noël JEBCA USA (To appear)
http://www.jebcaeditions.org/alfred-noeligl.html
Problems
and Abstracts
A canonical basis for maximal tori of the reduc tive centralizer of a
nilpotent element Proceedings
of the NATO Advanced Study Institute
Computational Noncommutative Algebra and Applications July 6--19, 2003 Il
Ciocco Resort Hotel, Italy. Edited by Jim Byrnes, Nato
Science Series II. Mathematics, Physics and Chemistry – Vol. 136.
A Short Note on Nipotent
Orbits Associated to Coxeter Cells (with
Steven Jackson) ACM Communications in Computer Algebra, Issue 168, Vol. 43, N0.
2, (52-53), June 2009.
Book
Chapters
·
The Uncontroversial
Mathematics Behind Garrett Lisi’s Controversial
``Theory of Everything’’ (In Memory of My Grandmother Vilicia
Auguste: 1914 – 2008). In Some
Musings on Theta, Eta, and Zeta: From E8 to Cold Plasma to an lnhomogeneous Universe (Mathematical Physics Studies)
by Floyd
L. Williams | Nov 3, 2023
Expository
Papers and Selected Talks
- TITS SYSTEMS,
PARABOLIC SUBGROUPS, PARABOLIC SUBALGEBRAS, Northeastern University,
June 1996. This paper was written as part of the requirements for a
course, Topics in algebraic geometry, taught by Prof. V. Lakshmibai in the Spring 1996 quarter. Click here to
download the postscript version
- NOTICED
NILPOTENT ORBITS OF REAL LIE ALGEBRAS. This is the content of a
poster presentation at the Third CAARMS meeting in Baltimore Maryland in
June 1997. Click here to download the
postscript version.
- CENTRALIZERS
OF NILPOTENTS AND THE BALA-CARTER CLASSIFICATION. This is the
content of a talk given at the GASC seminar at Northeastern University on
June 7, 1999. Click here to download the
postscript version.
- COMPONENT GROUPS OF CENTRALIZERS OF NILPOTENTS IN
SYMMETRIC SPACES. This
file contains a talk that was given at
CAARMS5, University of Michigan, in June 99. The general theory is studied
using the group SL(n,R)
as an example. This is for an audience of non-specialists. There is no Lie
structure theory. Everything is done in the context of Linear Algebra.
Click here to download the postscript version.
- ON THE
ADMISSIBILITY OF NILPOTENT ORBITS OF SIMPLE EXCEPTIONAL REAL LIE GROUPS OF
INNER TYPE. This is
the content of a talk given at an AMS Sectional Meeting held at University
of South Carolina Columbia on March 16-18, 2001, Special Session on
Algebraic Structures Associated with Lie Theory, III.
- Quantization in Physics and Mathematics, Science Colloquium Hour The University of Massachusetts Boston April 9, 2004.
- Richardson
Orbits for Real Semisimple Lie Groups Conference on Nilpotent Orbits and Representation
Theory, 2004 Fuji-Zakura So, Japan September 5-10 2004.
- Prehomogeneous
Spaces Associated with Nilpotent Orbits of Complex Lie Groups AMS Special Session on
Representations of Lie Algebras AMS Joint Mathematical Meeting
January 5- 8, 2005 Atlanta Georgia.
- A LiE subroutine for computing prehomogeneous spaces
associated to real nilpotent orbits International Conference on
Computational Science and its Applications (ICCSA 2005) May 9 - 12, 2005
Suntec, Singapore, Singapore.
- The Atlas
of Lie groups and representations: scope and successes CAARMS 13 June
19-22, 2007 Boston MA.
- The
Uncontroversial Mathematics Behind Garrett Lisi’s
Controversial ``Theory of Everything’’ (In Memory of My Grandmother Vilicia Auguste: 1914 – 2008). Société Haïtienne des
Sciences (HSS), University of Massachusetts Boston, July 26, 2008.
- The Orbit
Method: An insight from Physics, Mathematics Department Colloquium
Medgar Evers College Brooklyn New York, December 2, 2009.
- Lanng ak Matematik nan Kontèks Ayisyen PWOMOSYON LANG AK KILTI AYISYEN - 19 Jen
2021(JEBCA et al) [Randolph MA] Zoom meeting. Watch on Youtube.
- Sur
l'ubiquité de la théorie
de Fourier dans les sciences exactes,
Colloque international du CRM-ISTEAH, dimanche
28 mai 2023.
- Philosophical
and Sociological Perspectives on African American Recruitment, Retention,
and Employment in the STEM fields. Remarks at Black Lives Matter Day, University of Massachusetts Boston Monday,
November 6, 2023, 10:30-11:15
- Centre
de Recherche MATHéMatique de L’ISTEAH: Expériences & Espérances
Haïtiennes. Table ronde sur la Relation
entre la Science et le Développement, 27 novembre 2023 07:50 AM Heure
de l’Est (États-Unis et Canada) Zoom meeting.
- Character
Theory and Uncertainty Principles in Signal Recovery. Haitian
Scientific Society Seminar Series, September 28, 2024.
Preprints, Tables
and Work in Progress
Funded
Proposals
- AY 1998-99
Faculty Internal Grants Program.
This proposal was written in March 1999 for a UmassBoston
competition. My goal was to acquire internal funds for equipment and travels.It contains a
research proposal which may give some insight on future work and proposals.
- Martin
Luther King Professorship at MIT.
This proposal was at the basis of the MLK
professorship which was awarded during the 2000-2001 academic year by the
mathematics department of the Massachusetts Institute of Technology.
- National
Science Foundation Research Opportunity Award. This
proposal was funded for a year (3/2002 - 3/2003) by the NSF for work to be
done at the Massachusetts Institute of Technology with David Vogan.