D
Duncan J. Melville
Researcher at St. Lawrence University
Publications - 21
Citations - 300
Duncan J. Melville is an academic researcher from St. Lawrence University. The author has contributed to research in topics: Verma module & Affine Lie algebra. The author has an hindex of 8, co-authored 21 publications receiving 282 citations. Previous affiliations of Duncan J. Melville include University of Notre Dame.
Papers
More filters
BookDOI
Encyclopaedia of Mathematics, Supplement III
S. S. Abhyankar,V. Abramov,A. Adem,L. Aizenberg,Sergio Albeverio,Luís J. Alías,H. Andréka,B. N. Apanasov,I. Assani,K. Atanassov,S. Axler,A. Bagchi,Krishnan Balachandran,R. B. Bapat,C. Bardos,Thomas Bartsch,P. W. Bates,Eduard Belinsky,A. Ben-Israel,R. D. Benguria,Ch. Berg,V. Bergelson,F. Beukers,A. Bloch,Daniel Boley,C. de Boor,J. P. Brasselet,R. Brown,W. Dale Brownawell,Tomasz Brzeziński,M. Buhmann,A. Bultheel,D. Bump,Stefaan Caenepeel,R. E. Caflisch,B. D. Calvert,R. Carroll,O. Chan,F. Clarke,Flávio Ulhoa Coelho,D. J. Collins,A. K. Common,S. C. Coutinho,C. Croke,G. Csordas,Raúl E. Curto,H. G. Dales,L. Debnath,M. Deistler,A. Derighetti,J. K. Deveney,U. Dieter,Peter Dräxler,V. Drensky,M. Dror,C. F. Dunkl,Art M. Duval,T. Ehrhardt,B. Eisenberg,S. Elaydi,E. Elizalde,Konrad Engel,E. Enochs,M. Eytan,Y. Fang,E. J. Farrell,A. Fernández López,C. Foias,A. S. Fraenkel,M. Fukushima,T. Gannon,J. von zur Gathen,Stephen Gelbart,L. Gemignani,S. K. Ghosh,J. F. Glazebrook,P. Goerss,J. E. Goodman,B. Brent Gordon,S. Goto,Hanno Gottschalk,Willy Govaerts,S. W. Graham,M. J. Grannell,T. S. Griggs,R. I. Grigorchuck,J. W. Grossman,Martin H. Gutknecht,U. Hahn,D. Harbater,G. Harder,K. P. Hart,P. Haukkanen,D. R. Heath-Brown,G. F. Helminck,D. Hensley,N. J. Hitchin,F. den Hollander,J. W. Hovenier,Yi-Zhi Huang,I. D. Iliev,N. Immerman,M. Inuiguchi,G. Isac,S. V. Ivanov,W. Jaco,M. Jacobsen,K. Jarosz,Soon-M. Jung,D. Jungnickel,N. Kamiya,A. Kanamori,Joanna Kania-Bartoszynska,W. Kaup,Y. Kawamata,H. Kellay,P. S. Kenderov,O. Kerner,Estate V. Khmaladze,J. Klamka,M. Klin,M. A. Kłopotek,E. H. Knill,John Knopfmacher,M. N. Kolountzakis,V. Komkov,J. G. Krzyż,S. H. Kulkarni,J. P. S. Kung,Hui-H. Kuo,K. M. Kuperberg,M. L. Lapidus,Raytcho D. Lazarov,J. Lepowsky,C. Heng Li,E. R. Liflyand,W. A. Light,J. Lukeš,Ü. Lumiste,V. Lychagin,J. X. Madarász,Francisco Marcellán,H. Martini,J. Mawhin,P. A. McCoy,W. McCune,G. McGuire,C. V. M. van der Mee,Duncan J. Melville,P. W. Michor,M. Mihalik,Costică Moroşanu,A. O. Morris,C. J. Mulvey,V. Muñoz,S. Naimpally,Władysław Narkiewicz,R. B. Nelsen,I. Németi,F. Neuman,L. Newelski,G. A. Niblo,M. A. Nielsen,V. Nistor,R. Norberg,T. Nowicki,M. Oberguggenberger,D. Olivari,T. C. O’Neil,P. J. Oonincx,E. L. Ortiz,G. Owen,Endre Pap,V. Paulauskas,D. B. Pearson,G. K. Pedersen,R. B. Pelz,W. V. Petryshyn,Andreas N. Philippou,D. Pigozzi,A. Pinkus,Z. Piotrowski,R. Pollack,A. Prástaro,András Prékopa,Józef H. Przytycki,A. G. Ramm,Themistocles M. Rassias,S. Reich,R. Reischuk,S. E. Rodabaugh,A. Rodriguez Palacios,J. Rosenberg,A. Ruciński,J. Sándor,P. Schmid,J. M. Schumacher,S. K. Sehgal,D. Shoikhet,B. Silbermann,D. Simson,A. Sitaram,H. de Snoo,A. Soffer,F. Sottile,J. Spencer,H. M. Srivastava,J. D. Stegeman,D. Stegenga,R. Steinberg,R. J. Stroeker,H. Sumida,Łászló A. Székely,F. Todor,E. Tsekanovskii,A. Turull,N. Tzanakis,L. Unger,H. Upmeier,Richard S. Varga,W. Vasconcelos,P. J. Vassiliou,V. Vinnikov,M. Vuorinen,M. Waldschmidt,N. Watt,G. P. Wene,J. Wiegerinck,R. A. Wijsman,R. W. Wittenberg,S. A. Wolpert,S. Xiang,L. Zalcman,A. I. Zayed,S. Zlobec,S. Zucker,M. Hazewinkel +236 more
Journal ArticleDOI
Quantized enveloping algebras for Borcherds superalgebras
TL;DR: In this article, the first author was supported in part by NSF Grant #DMS-9300523======676676676The second author was support in part with the Nondirected Research Fund, Korea Research Institute and Korea ResearchFoundation, 1996======672The third author was provided by a Faculty Research Grant from St Lawrence University
Journal ArticleDOI
Rank 2 symmetric hyperbolic Kac-Moody algebras
Seok-Jin Kang,Duncan J. Melville +1 more
TL;DR: In this paper, the root multiplicities of the rank 2 Kac-Moody algebras with symmetric Cartan matrix were studied and a purely combinatorial closed form formula for the root system of the algebra was derived.
Journal ArticleDOI
Centroids of nilpotent lie algabras
TL;DR: In this article, Centroids of nilpotent lie algabras are considered and centroids lie in a set of non-cooperative lie alga types.
Journal ArticleDOI
Root Multiplicities of the Kac-Moody Algebras HA(1)n
Seok-Jin Kang,Duncan J. Melville +1 more
TL;DR: In this article, the root multiplicity formula for all the roots of almost hyperbolic Kac-Moody algebras HA(1)n was given, and the path realization of crystal bases for the irreducible highest weight modules over quantum affine Lie algesbras Uq(A(1 n)n) was used to determine root multiplicities.