Edit Profile Melville, Duncan James Compute Distance To: Compute Author ID: melville.duncan-j Published as: Melville, D.; Melville, Duncan; Melville, Duncan J. Homepage: http://it.stlawu.edu/~dmelvill/index.html External Links: MGP · Wikidata · GND Documents Indexed: 20 Publications since 1992 Reviewing Activity: 136 Reviews all top 5 Co-Authors 9 single-authored 4 Kang, Seok-Jin 3 Futorny, Viatcheslav M. 3 Futorny, Vyacheslav M. 2 Cox, Ben Lewis 2 Grishkov, Alexander Nikolaevich 1 Benkart, Georgia M. 1 Haunsperger, Deanna B. 1 Martini, Laura 1 Plofker, Kim all top 5 Serials 3 Historia Mathematica 2 Communications in Algebra 2 Algebras and Representation Theory 1 Journal of Algebra 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Social Choice and Welfare 1 Journal of the Australian Mathematical Society. Series A 1 Revue d’Histoire des Mathématiques all top 5 Fields 13 Nonassociative rings and algebras (17-XX) 5 History and biography (01-XX) 4 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 16 Publications have been cited 87 times in 75 Documents Cited by ▼ Year ▼ Quantized enveloping algebras for Borcherds superalgebras. Zbl 0913.17008Benkart, Georgia; Kang, Seok-Jin; Melville, Duncan 24 1998 Centroids of nilpotent Lie algebras. Zbl 0954.17502Melville, Duncan J. 14 1992 Root multiplicities of the Kac-Moody algebras \(HA_ n^{(1)}\). Zbl 0828.17028Kang, Seok-Jin; Melville, Duncan J. 11 1994 Rank 2 symmetric hyperbolic Kac-Moody algebras. Zbl 0846.17025Kang, Seok-Jin; Melville, Duncan J. 7 1995 Quantum imaginary Verma modules for affine Lie algebras. Zbl 0931.17010Futorny, Viatcheslav M.; Grishkov, Alexander N.; Melville, Duncan J. 6 1998 Quantum deformations of imaginary Verma modules. Zbl 0890.17021Cox, Ben; Futorny, Viatcheslav; Kang, Seok-Jin; Melville, Duncan 6 1997 Categories of nonstandard highest weight modules for affine Lie algebras. Zbl 0851.17025Cox, B.; Futorny, V.; Melville, D. 4 1996 Poles and walls in Mesopotamia and Egypt. Zbl 1063.01005Melville, Duncan J. 3 2004 Verma-type modules for quantum affine Lie algebras. Zbl 1129.17011Futorny, Vyacheslav M.; Grishkov, Alexander N.; Melville, Duncan J. 2 2005 An \(\mathbb{A}\)-form technique of quantum deformations. Zbl 0949.17005Melville, Duncan J. 2 1999 Quantum deformations of \(\alpha\)-stratified modules. Zbl 0917.17007Futorny, Viatcheslav M.; Melville, Duncan J. 2 1998 Centroids and Cartan algebras. Zbl 0784.17038Melville, Duncan J. 2 1993 After Neugebauer: recent developments in Mesopotamian mathematics. Zbl 1335.01077Melville, Duncan J. 1 2016 Weighing stones in ancient Mesopotamia. Zbl 1006.01001Melville, Duncan J. 1 2002 Voting power when using preference ballots. Zbl 0855.90031Haunsperger, Deanna B.; Melville, Duncan J. 1 1996 Root multiplicities of hyperbolic Kac-Moody algebras. Zbl 0818.17029Melville, Duncan J. 1 1994 After Neugebauer: recent developments in Mesopotamian mathematics. Zbl 1335.01077Melville, Duncan J. 1 2016 Verma-type modules for quantum affine Lie algebras. Zbl 1129.17011Futorny, Vyacheslav M.; Grishkov, Alexander N.; Melville, Duncan J. 2 2005 Poles and walls in Mesopotamia and Egypt. Zbl 1063.01005Melville, Duncan J. 3 2004 Weighing stones in ancient Mesopotamia. Zbl 1006.01001Melville, Duncan J. 1 2002 An \(\mathbb{A}\)-form technique of quantum deformations. Zbl 0949.17005Melville, Duncan J. 2 1999 Quantized enveloping algebras for Borcherds superalgebras. Zbl 0913.17008Benkart, Georgia; Kang, Seok-Jin; Melville, Duncan 24 1998 Quantum imaginary Verma modules for affine Lie algebras. Zbl 0931.17010Futorny, Viatcheslav M.; Grishkov, Alexander N.; Melville, Duncan J. 6 1998 Quantum deformations of \(\alpha\)-stratified modules. Zbl 0917.17007Futorny, Viatcheslav M.; Melville, Duncan J. 2 1998 Quantum deformations of imaginary Verma modules. Zbl 0890.17021Cox, Ben; Futorny, Viatcheslav; Kang, Seok-Jin; Melville, Duncan 6 1997 Categories of nonstandard highest weight modules for affine Lie algebras. Zbl 0851.17025Cox, B.; Futorny, V.; Melville, D. 4 1996 Voting power when using preference ballots. Zbl 0855.90031Haunsperger, Deanna B.; Melville, Duncan J. 1 1996 Rank 2 symmetric hyperbolic Kac-Moody algebras. Zbl 0846.17025Kang, Seok-Jin; Melville, Duncan J. 7 1995 Root multiplicities of the Kac-Moody algebras \(HA_ n^{(1)}\). Zbl 0828.17028Kang, Seok-Jin; Melville, Duncan J. 11 1994 Root multiplicities of hyperbolic Kac-Moody algebras. Zbl 0818.17029Melville, Duncan J. 1 1994 Centroids and Cartan algebras. Zbl 0784.17038Melville, Duncan J. 2 1993 Centroids of nilpotent Lie algebras. Zbl 0954.17502Melville, Duncan J. 14 1992 all cited Publications top 5 cited Publications all top 5 Cited by 96 Authors 8 Misra, Kailash C. 7 Futorny, Vyacheslav M. 5 Chen, Liangyun 5 Lee, Kyu-Hwan 5 Melville, Duncan James 4 Cox, Ben Lewis 4 Kang, Seok-Jin 4 Wu, Zhixiang 3 Clark, Sean 3 Kim, Henry H. 3 Ma, Yao 3 Sthanumoorthy, Neelacanta 3 Uma Maheswari, A. 3 Wang, Weiqiang 3 Ye, Lixia 2 Carbone, Lisa J. 2 Christodoulopoulou, Konstantina 2 Hill, David A. 2 Hontz, Jennifer 2 Jeong, Kyeonghoon 2 Kharchenko, Vladislav K. 2 Zhou, Jia 1 Benkart, Georgia M. 1 Braham, Matthew 1 Chapovalov, Maxim 1 Chen, Jiangrong 1 Chung, Christopher A. 1 De Young, Gregg 1 Dimitrov, Ivan P. 1 Dobrev, Vladimir K. 1 Feingold, Alex Jay 1 Firat, Alev 1 Freyn, Walter 1 Futorny, Viatcheslav M. 1 Gan, Huiling 1 Glaz, Sarah 1 Gonçalves, Carlos Henrique Barbosa 1 Grantcharov, Dimitar 1 Grishkov, Alexander Nikolaevich 1 Heckenberger, István 1 Hill, David C. 1 Hill, David John 1 Hong, Jin 1 Jung, Ji Hye 1 Kim, Myung-Hwan 1 Kim, Myungho 1 Klima, Vicky W. 1 Křižka, Libor 1 Lee, Dong-Il 1 Leger, George F. jun. 1 Leites, Dimitry A. 1 Li, Fang 1 Li, Yang 1 Lilly, P. L. 1 Liu, Dongwen 1 Liu, Genqiang 1 Liu, Xiaohong 1 Luks, Eugene M. 1 Mansfield, Daniel F. 1 Marquis, Timothée 1 Mazorchuk, Volodymyr 1 Mei, Xuefeng 1 Meng, Daoji 1 Neher, Erhard 1 Ni, Junna 1 Ni, Lin 1 Peng, Jianrong 1 Penkov, Ivan B. 1 Ponomarev, Konstantin N. 1 Priyanka, M. 1 Ray, Urmie 1 Sale, Thomas 1 Schiffmann, Olivier G. 1 Steffen, Frank Daniel 1 Stekolshchik, Rafael 1 Sun, Bing 1 Tan, Shao Bin 1 Tan, Youjun 1 Tsuchioka, Shunsuke 1 Uthra, G. 1 Wang, Qing 1 Wang, WeiQiang 1 Wang, Yihan 1 Wildberger, Norman John 1 Wilson, Evan A. 1 Xiang, Zhi Wu 1 Xu, Chengkang 1 Zhang, Jian 1 Zhang, Runxuan 1 Zhang, Xuemei 1 Zhang, Yichao 1 Zhang, Yongzheng 1 Zhao, Zhonghua 1 Zhou, Jianhua 1 Zhu, Linsheng 1 Zusmanovich, Pasha all top 5 Cited in 37 Serials 13 Communications in Algebra 8 Journal of Algebra 6 Transactions of the American Mathematical Society 4 Journal of Mathematical Physics 4 Journal of Pure and Applied Algebra 3 Communications in Mathematical Physics 3 Historia Mathematica 2 Algebras and Representation Theory 2 Acta Mathematica Sinica. English Series 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 Acta Applicandae Mathematicae 1 Social Choice and Welfare 1 International Journal of Algebra and Computation 1 Bulletin of the American Mathematical Society. New Series 1 Applied Mathematics. Series B (English Edition) 1 Algebra Colloquium 1 Journal of Lie Theory 1 Transformation Groups 1 Representation Theory 1 Abstract and Applied Analysis 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Advances in Mathematical Physics 1 Open Mathematics all top 5 Cited in 10 Fields 66 Nonassociative rings and algebras (17-XX) 9 Associative rings and algebras (16-XX) 8 Quantum theory (81-XX) 7 Group theory and generalizations (20-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 1 Combinatorics (05-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline