Frenkel, Edward; Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz. (English) Zbl 07815184 J. Eur. Math. Soc. (JEMS) 26, No. 1, 355-405 (2024). MSC: 82B23 82D40 17B80 14D24 81R50 22E10 39A06 37K35 PDFBibTeX XMLCite \textit{E. Frenkel} et al., J. Eur. Math. Soc. (JEMS) 26, No. 1, 355--405 (2024; Zbl 07815184) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai Folded quantum integrable models and deformed \(W\)-algebras. (English) Zbl 1513.81077 Lett. Math. Phys. 112, No. 4, Paper No. 80, 86 p. (2022). MSC: 81R10 81R50 82B23 17B37 17B80 81Q80 81R12 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Lett. Math. Phys. 112, No. 4, Paper No. 80, 86 p. (2022; Zbl 1513.81077) Full Text: DOI arXiv
Frenkel, Edward Is there an analytic theory of automorphic functions for complex algebraic curves? (English) Zbl 1446.14005 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 042, 31 p. (2020). Reviewer: Philsang Yoo (New Haven) MSC: 14D24 17B67 22E57 PDFBibTeX XMLCite \textit{E. Frenkel}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 042, 31 p. (2020; Zbl 1446.14005) Full Text: DOI arXiv
Arakawa, Tomoyuki; Frenkel, Edward Quantum Langlands duality of representations of \(\mathcal{W}\)-algebras. (English) Zbl 1475.17041 Compos. Math. 155, No. 12, 2235-2262 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B68 17B69 81R10 PDFBibTeX XMLCite \textit{T. Arakawa} and \textit{E. Frenkel}, Compos. Math. 155, No. 12, 2235--2262 (2019; Zbl 1475.17041) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David Baxter’s relations and spectra of quantum integrable models. (English) Zbl 1332.82022 Duke Math. J. 164, No. 12, 2407-2460 (2015). MSC: 82B23 81R50 17B37 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Hernandez}, Duke Math. J. 164, No. 12, 2407--2460 (2015; Zbl 1332.82022) Full Text: DOI arXiv Euclid
Frenkel, Edward Love and math. The heart of hidden reality. Reprint of the hardback edition 2013. (English) Zbl 1343.00004 New York, NY: Basic Books (ISBN 978-0-465-06495-3/pbk). 292 p. (2014). MSC: 00A09 01A60 01A70 17B67 17B37 11G05 PDFBibTeX XMLCite \textit{E. Frenkel}, Love and math. The heart of hidden reality. Reprint of the hardback edition 2013. New York, NY: Basic Books (2014; Zbl 1343.00004)
Frenkel, Edward Love and math. The heart of hidden reality. (English) Zbl 1319.00005 New York, NY: Basic Books (ISBN 978-0-465-05074-1/hbk; 978-0-465-06995-8). 292 p. (2013). Reviewer: Krzysztof Ciesielski (Kraków) MSC: 00A09 01A60 01A70 17B67 17B37 11G05 PDFBibTeX XMLCite \textit{E. Frenkel}, Love and math. The heart of hidden reality. New York, NY: Basic Books (2013; Zbl 1319.00005)
Frenkel, Edward; Hernandez, David Langlands duality for finite-dimensional representations of quantum affine algebras. (English) Zbl 1222.17014 Lett. Math. Phys. 96, No. 1-3, 217-261 (2011). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 17B10 81R50 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Hernandez}, Lett. Math. Phys. 96, No. 1--3, 217--261 (2011; Zbl 1222.17014) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David Langlands duality for representations of quantum groups. (English) Zbl 1219.17007 Math. Ann. 349, No. 3, 705-746 (2011). Reviewer: Gastón Andrés García (Córdoba) MSC: 17B37 17B10 81R50 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Hernandez}, Math. Ann. 349, No. 3, 705--746 (2011; Zbl 1219.17007) Full Text: DOI arXiv
Frenkel, Edward; Zhu, Xinwen Any flat bundle on a punctured disc has an oper structure. (English) Zbl 1220.14013 Math. Res. Lett. 17, No. 1, 27-37 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14D24 17B67 22E67 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{X. Zhu}, Math. Res. Lett. 17, No. 1, 27--37 (2010; Zbl 1220.14013) Full Text: DOI arXiv
Frenkel, Edward; Gaitsgory, Dennis Weyl modules and opers without monodromy. (English) Zbl 1231.17007 Ceyhan, Özgür (ed.) et al., Arithmetic and geometry around quantization. Basel: Birkhäuser (ISBN 978-0-8176-4830-5/hbk; 978-0-8176-4831-2/ebook). Progress in Mathematics 279, 101-121 (2010). Reviewer: Xin Tang (Fayetteville) MSC: 17B37 22E57 20G42 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Prog. Math. 279, 101--121 (2010; Zbl 1231.17007) Full Text: DOI arXiv
Frenkel, Edward; Givental, Alexander; Milanov, Todor Soliton equations, vertex operators, and simple singularities. (English) Zbl 1203.37108 Funct. Anal. Other Math. 3, No. 1, 47-63 (2010). MSC: 37K10 17B69 32S45 53D45 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Funct. Anal. Other Math. 3, No. 1, 47--63 (2010; Zbl 1203.37108) Full Text: DOI arXiv
Feigin, B.; Frenkel, E.; Toledano Laredo, V. Gaudin models with irregular singularities. (English) Zbl 1186.81065 Adv. Math. 223, No. 3, 873-948 (2010). Reviewer: Chen Yong-Qing (Shenzhen) MSC: 81R10 37K30 17B67 81R12 82B23 PDFBibTeX XMLCite \textit{B. Feigin} et al., Adv. Math. 223, No. 3, 873--948 (2010; Zbl 1186.81065) Full Text: DOI arXiv
Frenkel, Edward; Gaitsgory, Dennis Localization of \(\mathfrak g\)-modules on the affine Grassmannian. (English) Zbl 1202.17009 Ann. Math. (2) 170, No. 3, 1339-1381 (2009). Reviewer: Dubravka Ban (Carbondale) MSC: 17B67 11G45 22E67 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Ann. Math. (2) 170, No. 3, 1339--1381 (2009; Zbl 1202.17009) Full Text: DOI arXiv Link
Frenkel, Edward; Gaitsgory, Dennis D-modules on the affine flag variety and representations of affine Kac-Moody algebras. (English) Zbl 1251.17012 Represent. Theory 13, 470-608 (2009). MSC: 17B67 17B10 13N10 14F05 14F10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Represent. Theory 13, 470--608 (2009; Zbl 1251.17012) Full Text: DOI arXiv
Frenkel, Edward; Gaitsgory, Dennis Local geometric Langlands correspondence: the spherical case. (English) Zbl 1192.17012 Miwa, Tetsuji (ed.) et al., Algebraic analysis and around in honor of Professor Masaki Kashiwara’s 60th birthday. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-51-8/hbk). Advanced Studies in Pure Mathematics 54, 167-186 (2009). Reviewer: Dubravka Ban (Carbondale) MSC: 17B67 11G45 22E57 14D20 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Adv. Stud. Pure Math. 54, 167--186 (2009; Zbl 1192.17012) Full Text: arXiv
Frenkel, Edward Ramification of the geometric Langlands program. (English) Zbl 1194.22022 Casadio Tarabusi, Enrico (ed.) et al., Representation theory and complex analysis. Lectures given at the C.I.M.E. summer school, Venice, Italy, June 10–17, 2004. Berlin: Springer (ISBN 978-3-540-76891-3/pbk). Lecture Notes in Mathematics 1931, 51-135 (2008). Reviewer: Anne-Marie Aubert (Paris) MSC: 22E57 14D24 17B67 PDFBibTeX XMLCite \textit{E. Frenkel}, Lect. Notes Math. 1931, 51--135 (2008; Zbl 1194.22022) Full Text: DOI arXiv
Frenkel, Edward; Gaitsgory, Dennis Geometric realizations of Wakimoto modules at the critical level. (English) Zbl 1215.17016 Duke Math. J. 143, No. 1, 117-203 (2008). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 81R10 14D20 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Duke Math. J. 143, No. 1, 117--203 (2008; Zbl 1215.17016) Full Text: DOI arXiv
Frenkel, Edward; Szczesny, Matthew Chiral de Rham complex and orbifolds. (English) Zbl 1184.14033 J. Algebr. Geom. 16, No. 4, 599-624 (2007). MSC: 14F40 17B69 81R10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{M. Szczesny}, J. Algebr. Geom. 16, No. 4, 599--624 (2007; Zbl 1184.14033) Full Text: DOI arXiv
Frenkel, Edward; Gaitsgory, Dennis Local geometric Langlands correspondence and affine Kac-Moody algebras. (English) Zbl 1184.17011 Ginzburg, Victor (ed.), Algebraic geometry and number theory. In Honor of Vladimir Drinfeld’s 50th birthday. Basel: Birkhäuser (ISBN 978-0-8176-4471-0/hbk). Progress in Mathematics 253, 69-260 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B67 11G45 14D20 22E57 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Prog. Math. 253, 69--260 (2006; Zbl 1184.17011) Full Text: DOI arXiv
Frenkel, Edward; Gaitsgory, Dennis Fusion and convolution: applications to affine Kac-Moody algebras at the critical level. (English) Zbl 1146.17025 Pure Appl. Math. Q. 2, No. 4, 1255-1312 (2006). MSC: 17B67 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Pure Appl. Math. Q. 2, No. 4, 1255--1312 (2006; Zbl 1146.17025) Full Text: DOI arXiv
Frenkel, Edward; Teleman, Constantin Self-extensions of Verma modules and differential forms on opers. (English) Zbl 1162.17314 Compos. Math. 142, No. 2, 477-500 (2006). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{C. Teleman}, Compos. Math. 142, No. 2, 477--500 (2006; Zbl 1162.17314) Full Text: DOI arXiv
Frenkel, Edward Gaudin model and opers. (English) Zbl 1132.17305 Kulish, Petr P. (ed.) et al., Infinite dimensional algebras and quantum integrable systems. Papers from the 14th international congress on mathematical physics satellite workshop, Faro, Portugal, July 21–25, 2003. Basel: Birkhäuser (ISBN 3-7643-7215-X/hbk). Progress in Mathematics 237, 1-58 (2005). MSC: 17B67 82B23 37K30 81R12 PDFBibTeX XMLCite \textit{E. Frenkel}, Prog. Math. 237, 1--58 (2005; Zbl 1132.17305) Full Text: arXiv
Frenkel, Edward Wakimoto modules, opers and the center at the critical level. (English) Zbl 1129.17014 Adv. Math. 195, No. 2, 297-404 (2005). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B70 17B67 PDFBibTeX XMLCite \textit{E. Frenkel}, Adv. Math. 195, No. 2, 297--404 (2005; Zbl 1129.17014) Full Text: DOI arXiv
Ben-Zvi, David; Frenkel, Edward Geometric realization of the Segal-Sugawara construction. (English) Zbl 1170.17303 Tillmann, Ulrike (ed.), Topology, geometry and quantum field theory. Proceedings of the 2002 Oxford symposium in honour of the 60th birthday of Graeme Segal, Oxford, UK, June 24–29, 2002. Cambridge: Cambridge University Press (ISBN 0-521-54049-6/pbk). London Mathematical Society Lecture Note Series 308, 46-97 (2004). MSC: 17B67 17B68 17B69 PDFBibTeX XMLCite \textit{D. Ben-Zvi} and \textit{E. Frenkel}, Lond. Math. Soc. Lect. Note Ser. 308, 46--97 (2004; Zbl 1170.17303) Full Text: arXiv
Frenkel, Edward Opers on the projective line, flag manifolds and Bethe Ansatz. (English) Zbl 1087.82008 Mosc. Math. J. 4, No. 3, 655-705 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 82B23 17B67 PDFBibTeX XMLCite \textit{E. Frenkel}, Mosc. Math. J. 4, No. 3, 655--705 (2004; Zbl 1087.82008) Full Text: arXiv Link
Frenkel, Edward; Gaitsgory, Dennis \(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras. (English) Zbl 1107.17013 Duke Math. J. 125, No. 2, 279-327 (2004). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Gaitsgory}, Duke Math. J. 125, No. 2, 279--327 (2004; Zbl 1107.17013) Full Text: DOI arXiv Euclid
Frenkel, Edward; Ben-Zvi, David Vertex algebras and algebraic curves. 2nd revised and expanded ed. (English) Zbl 1106.17035 Mathematical Surveys and Monographs 88. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3674-9/pbk). xiv, 400 p. (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17-02 81T40 14D20 14D21 81R10 14H81 14H10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Ben-Zvi}, Vertex algebras and algebraic curves. 2nd revised and expanded ed. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1106.17035)
Frenkel, Edward; Szczesny, Matthew Twisted modules over vertex algebras on algebraic curves. (English) Zbl 1049.17024 Adv. Math. 187, No. 1, 195-227 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 14R99 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{M. Szczesny}, Adv. Math. 187, No. 1, 195--227 (2004; Zbl 1049.17024) Full Text: DOI arXiv
Frenkel, E.; Mukhin, E. The Hopf algebra \(\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty\). (English) Zbl 1034.17009 Sel. Math., New Ser. 8, No. 4, 537-635 (2002). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 16W30 16E20 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{E. Mukhin}, Sel. Math., New Ser. 8, No. 4, 537--635 (2002; Zbl 1034.17009) Full Text: arXiv
Frenkel, Edward; Mukhin, Evgeny The \(q\)-characters at roots of unity. (English) Zbl 1020.17009 Adv. Math. 171, No. 1, 139-167 (2002). Reviewer: Sorin Dascalescu (Safat) MSC: 17B37 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{E. Mukhin}, Adv. Math. 171, No. 1, 139--167 (2002; Zbl 1020.17009) Full Text: DOI arXiv
Frenkel, Edward Vertex algebras and algebraic curves. (English) Zbl 0997.17015 Séminaire Bourbaki. Volume 1999/2000. Exposés 865-879. Paris: Société Mathématique de France, Astérisque 276, 299-339, Exp. No. 875 (2002). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 17B69 14H60 17-02 17B67 81T40 14H10 17B68 81R10 PDFBibTeX XMLCite \textit{E. Frenkel}, Astérisque 276, 299--339, Exp. No. 875 (2002; Zbl 0997.17015) Full Text: arXiv Numdam EuDML
Frenkel, Edward; Ben-Zvi, David Vertex algebras and algebraic curves. (English) Zbl 0981.17022 Mathematical Surveys and Monographs. 88. Providence, RI: American Mathematical Society (AMS). xii, 348 p. (2001). Reviewer: Xu Xiaoping (Kowloon) MSC: 17B69 17-02 81T40 14D20 14D21 81R10 14H81 14H10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{D. Ben-Zvi}, Vertex algebras and algebraic curves. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0981.17022)
Frenkel, Edward; Mukhin, Evgeny Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras. (English) Zbl 1051.17013 Commun. Math. Phys. 216, No. 1, 23-57 (2001). Reviewer: Robert Marsh (Leicester) MSC: 17B37 17B67 17B10 81R50 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{E. Mukhin}, Commun. Math. Phys. 216, No. 1, 23--57 (2001; Zbl 1051.17013) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward Integrable hierarchies and Wakimoto modules. (English) Zbl 0977.17020 Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 194(44), 27-60 (1999). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B67 37K30 35Q53 17B80 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Transl., Ser. 2, Am. Math. Soc. 194, 27--60 (1999; Zbl 0977.17020) Full Text: arXiv
Frenkel, Edward; Reshetikhin, Nicolai The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. (English) Zbl 0973.17015 Jing, Naihuan (ed.) et al., Recent developments in quantum affine algebras and related topics. Proceedings of the international conference on representations of affine and quantum affine algebras and their applications, North Carolina State University, Raleigh, NC, USA, May 21-24, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 248, 163-205 (1999). Reviewer: M.Primc (Zagreb) MSC: 17B37 81R50 17B68 81R10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{N. Reshetikhin}, Contemp. Math. 248, 163--205 (1999; Zbl 0973.17015) Full Text: arXiv
Enriquez, Benjamin; Frenkel, Edward Geometric interpretation of the Poisson structure in affine Toda field theories. (English) Zbl 1047.37506 Duke Math. J. 92, No. 3, 459-495 (1998). Reviewer: Alexander V. Shapovalov (MR1620526) MSC: 37K10 17B69 PDFBibTeX XMLCite \textit{B. Enriquez} and \textit{E. Frenkel}, Duke Math. J. 92, No. 3, 459--495 (1998; Zbl 1047.37506) Full Text: DOI arXiv
Frenkel, Edward; Reshetikhin, Nicolai Deformations of \(W\)-algebras associated to simple Lie algebras. (English) Zbl 0939.17011 Commun. Math. Phys. 197, No. 1, 1-32 (1998). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 17B37 81R50 17B80 81R10 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{N. Reshetikhin}, Commun. Math. Phys. 197, No. 1, 1--32 (1998; Zbl 0939.17011) Full Text: DOI arXiv
Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A. Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra. (English) Zbl 0916.17020 Commun. Math. Phys. 192, No. 3, 605-629 (1998). Reviewer: Volodymyr Mazorchuk (Kyiv) MSC: 17B68 39A70 81R10 37J99 17B37 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Commun. Math. Phys. 192, No. 3, 605--629 (1998; Zbl 0916.17020) Full Text: DOI arXiv
Enriquez, Benjamin; Frenkel, Edward Equivalence of two approaches to integrable hierarchies of KdV type. (English) Zbl 0873.35080 Commun. Math. Phys. 185, No. 1, 211-230 (1997). Reviewer: M.Marvan (Opava) MSC: 35Q53 37J35 37K10 17B67 PDFBibTeX XMLCite \textit{B. Enriquez} and \textit{E. Frenkel}, Commun. Math. Phys. 185, No. 1, 211--230 (1997; Zbl 0873.35080) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward Quantum \({\mathcal W}\)-algebras and elliptic algebras. (English) Zbl 0871.17007 Commun. Math. Phys. 178, No. 3, 653-678 (1996). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B37 16W30 17B67 81R50 17B68 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Commun. Math. Phys. 178, No. 3, 653--678 (1996; Zbl 0871.17007) Full Text: DOI arXiv
Frenkel, Edward; Reshetikhin, Nikolai Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. (English) Zbl 0869.17014 Commun. Math. Phys. 178, No. 1, 237-264 (1996). Reviewer: H.Boseck (Greifswald) MSC: 17B37 17B68 17B81 81R50 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{N. Reshetikhin}, Commun. Math. Phys. 178, No. 1, 237--264 (1996; Zbl 0869.17014) Full Text: DOI arXiv
Frenkel, Edward Deformations of the KdV hierarchy and related soliton equations. (English) Zbl 0860.17033 Int. Math. Res. Not. 1996, No. 2, 55-76 (1996). Reviewer: J.Grabowski (Warszawa) MSC: 17B65 35Q53 37J99 35Q58 PDFBibTeX XMLCite \textit{E. Frenkel}, Int. Math. Res. Not. 1996, No. 2, 55--76 (1996; Zbl 0860.17033) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward Integrals of motion and quantum groups. (English) Zbl 0885.58034 Francaviglia, M. (ed.) et al., Integrable systems and quantum groups. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 14-22, 1993. Berlin: Springer-Verlag. Lect. Notes Math. 1620, 349-418 (1996). Reviewer: A.Van Daele (Heverlee) MSC: 37J35 37K10 17B37 53D50 17B67 81R50 81S05 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Lect. Notes Math. 1620, 349--418 (1996; Zbl 0885.58034) Full Text: arXiv
Frenkel, Edward Free field realizations in representation theory and conformal field theory. (English) Zbl 0852.17023 Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1256-1269 (1995). Reviewer: A.N.Pressley (London) MSC: 17B67 81T40 81R10 PDFBibTeX XMLCite \textit{E. Frenkel}, in: Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1256--1269 (1995; Zbl 0852.17023) Full Text: arXiv
Frenkel, Edward; Szenes, András Crystal bases, dilogarithm identities, and torsion in algebraic \(K\)-theory. (English) Zbl 0848.17019 J. Am. Math. Soc. 8, No. 3, 629-664 (1995). Reviewer: K.C.Misra (Raleigh) MSC: 17B67 17B37 11R70 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{A. Szenes}, J. Am. Math. Soc. 8, No. 3, 629--664 (1995; Zbl 0848.17019) Full Text: DOI
Feigin, Boris; Frenkel, Edward Kac-Moody groups and integrability of soliton equations. (English) Zbl 0829.58021 Invent. Math. 120, No. 2, 379-408 (1995). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37J35 37K10 35Q53 81T40 17B67 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Invent. Math. 120, No. 2, 379--408 (1995; Zbl 0829.58021) Full Text: DOI arXiv EuDML
Frenkel, Edward; Kac, Victor; Radul, Andrey; Wang, Weiqiang \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\). (English) Zbl 0838.17028 Commun. Math. Phys. 170, No. 2, 337-357 (1995). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B68 17B69 81R10 81T40 17B70 17B67 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Commun. Math. Phys. 170, No. 2, 337--357 (1995; Zbl 0838.17028) Full Text: DOI arXiv
Frenkel, Edward Affine algebras, Langlands duality and Bethe ansatz. (English) Zbl 1052.17504 Iagolnitzer, Daniel (ed.), Proceedings of the XIth international congress on mathematical physics, Paris, France, July 18–23, 1994. Cambridge, MA: International Press (ISBN 1-57146-030-6/hbk). 606-642 (1995). MSC: 17B67 11R39 14D22 17B35 22E47 PDFBibTeX XMLCite \textit{E. Frenkel}, in: Proceedings of the XIth international congress on mathematical physics, Paris, France, July 18--23, 1994. Cambridge, MA: International Press. 606--642 (1995; Zbl 1052.17504) Full Text: arXiv
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai Gaudin model, Bethe ansatz and critical level. (English) Zbl 0812.35103 Commun. Math. Phys. 166, No. 1, 27-62 (1994). MSC: 82B23 35Q40 17B67 81R10 81R50 PDFBibTeX XMLCite \textit{B. Feigin} et al., Commun. Math. Phys. 166, No. 1, 27--62 (1994; Zbl 0812.35103) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities. (English) Zbl 0831.17012 Gelfand, Sergej (ed.) et al., I. M. Gelfand Seminar. Part 1: Papers of the Gelfand seminar in functional analysis held at Moscow University, Russia, September 1993. Providence, RI: American Mathematical Society. Adv. Sov. Math. 16(1), 139-148 (1993). Reviewer: Vladimir Stukopin (Rostov-na-Donu) MSC: 17B68 81R10 05A19 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Adv. Sov. Math. 16, 139--148 (1993; Zbl 0831.17012) Full Text: arXiv
Frenkel, Edward; Szenes, Andras Dilogarithm identities, \(q\)-difference equations, and the Virasoro algebra. (English) Zbl 0783.17012 Int. Math. Res. Not. 1993, No. 2, 53-60 (1993). Reviewer: Yu.N.Mukhin (Sverdlovsk) MSC: 17B68 33B99 17B81 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{A. Szenes}, Int. Math. Res. Not. 1993, No. 2, 53--60 (1993; Zbl 0783.17012) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward Erratum: Semi-infinite Weil complex and the Virasoro algebra. (English) Zbl 0753.17033 Commun. Math. Phys. 147, No. 3, 647-648 (1992). MSC: 17B56 17B68 81R10 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Commun. Math. Phys. 147, No. 3, 647--648 (1992; Zbl 0753.17033) Full Text: DOI
Frenkel, Edward; Kac, Victor; Wakimoto, Minoru Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction. (English) Zbl 0768.17008 Commun. Math. Phys. 147, No. 2, 295-328 (1992). Reviewer: A.S.Dzhumadil’daev (Alma-Ata) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Commun. Math. Phys. 147, No. 2, 295--328 (1992; Zbl 0768.17008) Full Text: DOI
Frenkel, Edward \(\mathcal W\)-algebras and Langlands-Drinfel’d correspondence. (English) Zbl 1221.17023 Fröhlich, J. (ed.) et al., New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. New York, NY: Plenum Press (ISBN 0-306-44240-X). NATO Advanced Science Institutes Series B: Physics, 295, 433-447 (1992). MSC: 17B55 17B81 81R10 PDFBibTeX XMLCite \textit{E. Frenkel}, in: New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16--27, 1991. New York, NY: Plenum Press. 433--447 (1992; Zbl 1221.17023)
Feigin, Boris; Frenkel, Edward Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras. (English) Zbl 0925.17022 Int. J. Mod. Phys. A 7, Suppl. 1A, 197-215 (1992). MSC: 17B67 17B37 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Int. J. Mod. Phys. A 7, 197--215 (1992; Zbl 0925.17022) Full Text: DOI
Feigin, Boris; Frenkel, Edward Duality in \(W\)-algebras. (English) Zbl 0790.17013 Int. Math. Res. Not. 1991, No. 6, 75-82 (1991). Reviewer: Jiří Vanžura (Brno) MSC: 17B67 17B63 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Int. Math. Res. Not. 1991, No. 6, 75--82 (1991; Zbl 0790.17013) Full Text: DOI
Feigin, Boris; Frenkel, Edward Semi-infinite Weil complex and the Virasoro algebra. (English) Zbl 0726.17035 Commun. Math. Phys. 137, No. 3, 617-639 (1991). Reviewer: D.Leites (Stockholm) MSC: 17B56 17B68 81R10 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Commun. Math. Phys. 137, No. 3, 617--639 (1991; Zbl 0726.17035) Full Text: DOI
Feigin, Boris; Frenkel, Edward Bosonic ghost system and the Virasoro algebra. (English) Zbl 1243.81086 Phys. Lett., B 246, No. 1-2, 71-74 (1990). MSC: 81R10 17B56 17B68 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Phys. Lett., B 246, No. 1--2, 71--74 (1990; Zbl 1243.81086) Full Text: DOI
Feigin, Boris; Frenkel, Edward Quantization of the Drinfel’d-Sokolov reduction. (English) Zbl 1242.17023 Phys. Lett., B 246, No. 1-2, 75-81 (1990). MSC: 17B67 17B80 37K30 81R10 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Phys. Lett., B 246, No. 1--2, 75--81 (1990; Zbl 1242.17023) Full Text: DOI
Feĭgin, Boris L.; Frenkel, Edward V. Representations of affine Kac-Moody algebras and bosonization. (English) Zbl 0734.17011 Physics and mathematics of strings, Mem. Vol. Vadim Knizhnik, 271-316 (1990). Reviewer: V. Stukopin (Rostov-na-Donu) MSC: 17B67 22E65 81T40 17B10 PDFBibTeX XML
Feigin, Boris L.; Frenkel, Edward V. Affine Kac-Moody algebras and semi-infinite flag manifolds. (English) Zbl 0722.17019 Commun. Math. Phys. 128, No. 1, 161-189 (1990). Reviewer: D. Leites (Stockholm) MSC: 17B67 17B10 14M15 17B56 81T40 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{E. V. Frenkel}, Commun. Math. Phys. 128, No. 1, 161--189 (1990; Zbl 0722.17019) Full Text: DOI
Feigin, Boris L.; Frenkel, Edward V. Representations of affine Kac-Moody algebras, bosonization and resolutions. (English) Zbl 0711.17012 Lett. Math. Phys. 19, No. 4, 307-317 (1990). Reviewer: D.Leites MSC: 17B67 17B10 81T10 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{E. V. Frenkel}, Lett. Math. Phys. 19, No. 4, 307--317 (1990; Zbl 0711.17012) Full Text: DOI
Feigin, B. L.; Frenkel’, Edward V. A family of representations of affine Lie algebras. (English. Russian original) Zbl 0668.17015 Russ. Math. Surv. 43, No. 5, 221-222 (1988). MSC: 17B67 17B10 14M05 17B56 14L35 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{E. V. Frenkel'}, Russ. Math. Surv. 43, No. 5, 221--222 (1988; Zbl 0668.17015) Full Text: DOI
Feĭgin, B. L.; Frenkel, Edward V. A family of representations of affine Lie algebras. (Russian) Zbl 0657.17013 Usp. Mat. Nauk 43, No. 5(263), 227-228 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B67 17B10 17B56 14M05 14L35 PDFBibTeX XMLCite \textit{B. L. Feĭgin} and \textit{E. V. Frenkel}, Usp. Mat. Nauk 43, No. 5(263), 227--228 (1988; Zbl 0657.17013)