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J枚rg Feldvoss

J枚rg Feldvoss

Professor Emeritus
Department of Mathematics and Statistics

Education

  • Ph.D. (Dr. rer. nat.) in Mathematics, Hamburg University, July 10, 1989

  • High School Teacher Exam for Mathematics and Physics, Hamburg University, May 28, 1986

Research Interests

My research is mainly in Lie Theory and Representation Theory. In particular, I am interested in the following topics:

  • Lie and Leibniz (color) algebras: structure, representations, and cohomology

  • Lie coalgebras and Lie comodules

  • Lie bialgebras and the classical Yang-Baxter equation

  • Hochschild (co)homology

  • Hopf algebras and tensor categories

  • quantum groups at roots of unity

  • small quantum groups

  • Frobenius algebras

Publications

Books

  • (edited with ) , Proceedings of the Virtual Special Sessions "Combinatorial and Geometric Representation Theory" and "Cohomology, Representation Theory, and Lie Theory" at the 2021 Fall 麻豆直播eastern Sectional Meeting of the American Mathematical Society (Meeting #1173), Mobile, AL, November 20 and 21, 2021, Contemp. Math., vol. 804, Amer. Math. Soc., Providence, RI, 2024

  • (edited with Lauren Grimley, Drew Lewis, Andrei Pavelescu, and Cornelius Pillen) , Proceedings of the 麻豆直播ern Regional Algebra Conference 2017, Mobile, AL, March 17 - 19, 2017, Springer Proceedings in Mathematics and Statistics, vol. 277, Springer, Cham, 2019

  • (edited with Marina Avitabile and Thomas Weigel) , Proceedings of a Workshop on Lie Algebras in Honor of Helmut Strade's 70th Birthday, Universit脿 degli Studi di Milano-Bicocca, Milano, Italy, May 22 - 24, 2013, Contemp. Math., vol. 652, Amer. Math. Soc., Providence, RI, 2015

Papers

  • (with ) , Indag. Math. 35 (2024), no. 1, 87-113

  • (with ) , J. Algebra 569 (2021), 276-317

  • , in: Nonassociative Mathematics and Its Applications, Denver, CO, 2017 (eds. P. Vojt臎chovsk媒, M. R. Bremner, J. S. Carter, A. B. Evans, J. Huerta, M. K. Kinyon, G. E. Moorhouse, J. D. H. Smith), Contemp. Math., vol. 721, Amer. Math. Soc., Providence, RI, 2019, pp. 115-149

  • (with Georgia Benkart) , in: Lie Algebras and Related Topics, Milano, Italy, 2013 (eds. M. Avitabile, J. Feldvoss, and Th. Weigel), Contemp. Math., vol. 652, Amer. Math. Soc., Providence, RI, 2015, pp. 207-228

  • (with and Thomas Weigel), Transform. Groups 21 (2016), no. 2, 377-398

  • (with and Thomas Weigel) , J. Lie Theory 24 (2014), no. 1, 29-39

  • (with and Thomas Weigel) , J. Algebra 382 (2013), 303-313

  • (with Sarah Witherspoon) , Homology Homotopy Appl. 13 (2011), no. 2, 197-215

  • (with and Thomas Weigel) , Proc. Amer. Math. Soc. 141 (2013), no. 1, 171-179

  • (with Sarah Witherspoon) , Internat. Math. Res. Notices 2010, no. 7, 1346-1362; , Internat. Math. Res. Notices 2015, no. 1, 288-290

  • , in: Lie Algebras, Vertex Operator Algebras and Their Applications, Raleigh, NC, 2005 (eds. Y.-Z. Huang and K. C. Misra), Contemp. Math., vol. 442, Amer. Math. Soc., Providence, RI, 2007, pp. 89-113

  • , in: Abelian Groups, Rings, Modules, and Homological Algebra, Auburn, AL, 2004 (eds. P. Goeters and O. M. G. Jenda), Lecture Notes in Pure and Applied Mathematics, vol. 249, Chapman & Hall/CRC, Boca Raton/London/New York, 2006, pp. 107-119

  • , J. Pure Appl. Algebra 198 (2005), no. 1-3, 151-163

  • (in German), Mitt. Math. Ges. Hamburg 20 (2001), 115-124

  • , Abh. Math. Sem. Univ. Hamburg 71 (2001), 297-304

  • , J. Algebra 230 (2000), no. 2, 319-333

  • , J. Algebra 222 (1999), no. 1, 284-300

  • , Adv. Math. 157 (2001), no. 2, 95-137

  • (with ) , J. Algebra 203 (1998), no. 2, 447-469

  • , in: The Monster and Lie Algebras, Columbus, OH, 1996 (eds. J. C. Ferrar and K. Harada), Ohio State Univ. Math. Res. Inst. Publ., vol. 7, Walter de Gruyter, Berlin, 1998, pp. 187-194

  • (with Lee Klingler) , in: Algebras and Modules II, Geiranger, Norway, 1996 (eds. I. Reiten, S. O. Smal酶, and 脴. Solberg), Canad. Math. Soc. Conf. Proc., vol. 24, Amer. Math. Soc., Providence, RI, 1998, pp. 195-203

  • , J. Pure Appl. Algebra 134 (1999), no. 1, 1-14

  • , in: Lie Algebras and Their Representations, Seoul, 麻豆直播 Korea, 1995 (eds. S.-J. Kang, M.-H. Kim, and I. Lee), Contemp. Math., vol. 194, Amer. Math. Soc., Providence, RI, 1996, pp. 69-119

  • , J. Algebra 183 (1996), no. 2, 396-419

  • , Arch. Math. (Basel) 65 (1995), no. 6, 495-500

  • , in: Non-Associative Algebra and Its Applications, Oviedo, Spain, 1993 (ed. S. Gonz谩lez), Mathematics and Its Applications, vol. 303, Kluwer Academic Publishers, Dordrecht/Boston/London, 1994, pp. 133-139

  • (with Detlef G眉nzel) (in German), Konstruktion 44 (1992), no. 3, 99-104

  • (with ) , Manuscripta Math. 74 (1992), no. 1, 47-67

  • , Comm. Algebra 19 (1991), no. 10, 2865-2906

  • (with Wolfram Funk and Peter Tolle) (in German), in: Proceedings of the 8th World Congress on the Theory of Machines and Mechanisms, Prague, Czech Republic, 1991, vol. 4, pp. 1161-1164