Serganova, Vera; Sherman, Alexander Localization theorem for homological vector fields. (English) Zbl 07804752 Commun. Math. Phys. 405, No. 2, Paper No. 39, 26 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 17B05 81T99 58A50 PDFBibTeX XMLCite \textit{V. Serganova} and \textit{A. Sherman}, Commun. Math. Phys. 405, No. 2, Paper No. 39, 26 p. (2024; Zbl 07804752) Full Text: DOI arXiv OA License
Hilburn, Justin; Kamnitzer, Joel; Weekes, Alex BFN Springer theory. (English) Zbl 1519.17006 Commun. Math. Phys. 402, No. 1, 765-832 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B08 17B10 16G20 81T99 20G05 PDFBibTeX XMLCite \textit{J. Hilburn} et al., Commun. Math. Phys. 402, No. 1, 765--832 (2023; Zbl 1519.17006) Full Text: DOI arXiv
Bressler, Paul; Rengifo, Camilo Odd transgression for Courant algebroids. (English) Zbl 1460.53070 J. Geom. Phys. 159, Article ID 103960, 21 p. (2021). MSC: 53D17 81T99 17B99 PDFBibTeX XMLCite \textit{P. Bressler} and \textit{C. Rengifo}, J. Geom. Phys. 159, Article ID 103960, 21 p. (2021; Zbl 1460.53070) Full Text: DOI arXiv
Cederwall, Martin; Palmkvist, Jakob \(L_{\infty}\) algebras for extended geometry from Borcherds superalgebras. (English) Zbl 1478.17030 Commun. Math. Phys. 369, No. 2, 721-760 (2019). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 17B81 81T99 PDFBibTeX XMLCite \textit{M. Cederwall} and \textit{J. Palmkvist}, Commun. Math. Phys. 369, No. 2, 721--760 (2019; Zbl 1478.17030) Full Text: DOI arXiv
Kashaev, R. M.; Reshetkhin, N. Symmetrically factorizable groups and set-theoretical solutions of the pentagon equation. (English) Zbl 1177.17014 Etingof, Pavel (ed.) et al., Israel mathematical conference proceedings. Quantum groups. Proceedings of a conference in memory of Joseph Donin, Haifa, Israel, July 5–12, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3713-9/pbk). Contemporary Mathematics 433, 267-279 (2007). Reviewer: Valentina Golubeva (Moskva) MSC: 17B37 70G65 81T99 PDFBibTeX XMLCite \textit{R. M. Kashaev} and \textit{N. Reshetkhin}, Contemp. Math. 433, 267--279 (2007; Zbl 1177.17014) Full Text: arXiv
Hatsuda, Yasuyuki; Matsuo, Yutaka Symmetry and integrability of non-singlet sectors in matrix quantum mechanics. (English) Zbl 1120.81042 J. Phys. A, Math. Theor. 40, No. 7, 1633-1659 (2007). MSC: 81R10 81Q10 17B81 81Q99 81T99 PDFBibTeX XMLCite \textit{Y. Hatsuda} and \textit{Y. Matsuo}, J. Phys. A, Math. Theor. 40, No. 7, 1633--1659 (2007; Zbl 1120.81042) Full Text: DOI arXiv
Cadorin, Larissa; Knus, Max-Albert; Rost, Markus On the dimension and other numerical invariants of algebras and vector products. (English) Zbl 1107.17001 Tandon, Rajat (ed.), Algebra and number theory. Proceedings of the silver jubilee conference, Hyderabad, India, December 11–16, 2003. New Delhi: Hindustan Book Agency (ISBN 81-85931-57-7/hbk). 34-65 (2005). Reviewer: Jean-Pierre E. Tignol (Louvain-La-Neuve) MSC: 17A75 81T99 PDFBibTeX XMLCite \textit{L. Cadorin} et al., in: Algebra and number theory. Proceedings of the silver jubilee conference, Hyderabad, India, December 11--16, 2003. New Delhi: Hindustan Book Agency. 34--65 (2005; Zbl 1107.17001)
Kuwata, S. Born-Infeld Lagrangian using Cayley-Dickson algebras. (English) Zbl 1080.81073 Int. J. Mod. Phys. A 19, No. 10, 1525-1548 (2004). MSC: 81T99 17A99 PDFBibTeX XMLCite \textit{S. Kuwata}, Int. J. Mod. Phys. A 19, No. 10, 1525--1548 (2004; Zbl 1080.81073) Full Text: DOI arXiv
Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert Quantum field theory and Hopf algebra cohomology. (English) Zbl 1062.81134 J. Phys. A, Math. Gen. 37, No. 22, 5895-5927 (2004). MSC: 81T60 16W30 81R50 81T15 17B37 81T99 81T05 17B56 PDFBibTeX XMLCite \textit{C. Brouder} et al., J. Phys. A, Math. Gen. 37, No. 22, 5895--5927 (2004; Zbl 1062.81134) Full Text: DOI arXiv
Carrion, H. L.; Rojas, M.; Toppan, F. Residual symmetries in the presence of an EM background. (English) Zbl 1076.81603 Mod. Phys. Lett. A 18, No. 9, 629-641 (2003). MSC: 81V10 17B81 81T60 81T99 PDFBibTeX XMLCite \textit{H. L. Carrion} et al., Mod. Phys. Lett. A 18, No. 9, 629--641 (2003; Zbl 1076.81603) Full Text: DOI arXiv
Hélein, Frédéric; Kouneiher, Joseph Finite dimensional Hamiltonian formalism for gauge and quantum field theories. (English) Zbl 1059.70019 J. Math. Phys. 43, No. 5, 2306-2347 (2002). MSC: 70S05 17B63 37J05 70G45 81T99 PDFBibTeX XMLCite \textit{F. Hélein} and \textit{J. Kouneiher}, J. Math. Phys. 43, No. 5, 2306--2347 (2002; Zbl 1059.70019) Full Text: DOI arXiv
Flynn, G.; Rasmussen, J.; Tahić, M.; Walton, M. A. Higher-genus \(\text{su}(N)\) fusion multiplicities as polytope volumes. (English) Zbl 1046.81515 J. Phys. A, Math. Gen. 35, No. 47, 10129-10147 (2002). MSC: 81R05 17B10 22E46 52B20 81T99 PDFBibTeX XMLCite \textit{G. Flynn} et al., J. Phys. A, Math. Gen. 35, No. 47, 10129--10147 (2002; Zbl 1046.81515) Full Text: DOI arXiv
Kac, Victor G. Classification of infinite-dimensional simple groups of supersymmetries and quantum field theory. Special volume of the journal Geometric and Functional Analysis. (English) Zbl 0985.57002 Alon, N. (ed.) et al., GAFA 2000. Visions in mathematics–Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25-September 3, 1999. Part I. Basel: Birkhäuser, 162-183 (2000). Reviewer: Chandra Shekhar Sharma (London) MSC: 57-02 81-02 22E70 81R10 81P10 17B81 81T99 PDFBibTeX XMLCite \textit{V. G. Kac}, in: GAFA 2000. Visions in mathematics---Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25--September 3, 1999. Part I. Basel: Birkhäuser. 162--183 (2000; Zbl 0985.57002) Full Text: arXiv
Takhtajan, Leon A. Quantum field theories on an algebraic curve. (English) Zbl 1007.81040 Dito, Giuseppe (ed.) et al., Conférence Moshé Flato 1999: Quantization, deformation, and symmetries, Dijon, France, September 5-8, 1999. Volume I. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 21, 403-416 (2000). MSC: 81R10 14H05 81T99 14H81 17B81 70H99 81S10 PDFBibTeX XMLCite \textit{L. A. Takhtajan}, Math. Phys. Stud. 21, 403--416 (2000; Zbl 1007.81040)
Mironov, A. D. Group theory approach to the \(\tau\)-function and its quantization. (English. Russian original) Zbl 1040.81036 Theor. Math. Phys. 114, No. 2, 127-183 (1998); translation from Teor. Mat. Fiz. 114, No. 2, 163-232 (1998). MSC: 81R12 17B80 37K10 37N20 81T99 PDFBibTeX XMLCite \textit{A. D. Mironov}, Theor. Math. Phys. 114, No. 2, 127--183 (1998; Zbl 1040.81036); translation from Teor. Mat. Fiz. 114, No. 2, 163--232 (1998) Full Text: DOI
Leclerc, Bernard; Zelevinsky, Andrei Quasicommuting families of quantum Plücker coordinates. (English) Zbl 0894.14021 Olshanski, G. I. (ed.), Kirillov’s seminar on representation theory. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 181(35), 85-108 (1998). Reviewer: M.Muro (Yanagido) MSC: 14M15 81T99 14G15 17B37 05A05 PDFBibTeX XMLCite \textit{B. Leclerc} and \textit{A. Zelevinsky}, Transl., Ser. 2, Am. Math. Soc. 181, 85--108 (1998; Zbl 0894.14021)
Ding, Jintai; Iohara, Kenji Drinfeld comultiplication and vertex operators. (English) Zbl 0921.17003 J. Geom. Phys. 23, No. 1, 1-13 (1997). Reviewer: M.Primc (Zagreb) MSC: 17B37 16W30 81T99 17B69 PDFBibTeX XMLCite \textit{J. Ding} and \textit{K. Iohara}, J. Geom. Phys. 23, No. 1, 1--13 (1997; Zbl 0921.17003) Full Text: DOI arXiv
Teleman, Constantin Verlinde factorization and Lie algebra cohomology. (English) Zbl 0915.17017 Invent. Math. 126, No. 2, 249-263 (1996). Reviewer: A.N.Rudakov (Trondheim) MSC: 17B56 17B68 17B66 14H15 81R10 81T99 PDFBibTeX XMLCite \textit{C. Teleman}, Invent. Math. 126, No. 2, 249--263 (1996; Zbl 0915.17017) Full Text: DOI
Pauly, Christian Moduli spaces of parabolic fibres and conformal blocks. (Espaces de modules de fibrés paraboliques et blocs conformes.) (French) Zbl 0877.14031 Duke Math. J. 84, No. 1, 217-235 (1996). Reviewer: I.Quandt (Berlin) MSC: 14K25 14H10 81T99 17B65 14H60 PDFBibTeX XMLCite \textit{C. Pauly}, Duke Math. J. 84, No. 1, 217--235 (1996; Zbl 0877.14031) Full Text: DOI
Djemai, A. E. F. The lattice quantum phase space and the Yang-Baxter equation. (English) Zbl 1044.81754 Int. J. Mod. Phys. A 10, No. 23, 3303-3318 (1995). MSC: 81T99 17B37 81R50 82B23 PDFBibTeX XMLCite \textit{A. E. F. Djemai}, Int. J. Mod. Phys. A 10, No. 23, 3303--3318 (1995; Zbl 1044.81754) Full Text: DOI
Santana, Ademir E.; Khanna, F. C. Lie groups and thermal field theory. (English) Zbl 1020.81934 Phys. Lett., A 203, No. 2-3, 68-72 (1995). MSC: 81T99 17B81 81R05 PDFBibTeX XMLCite \textit{A. E. Santana} and \textit{F. C. Khanna}, Phys. Lett., A 203, No. 2--3, 68--72 (1995; Zbl 1020.81934) Full Text: DOI
Kosmann-Schwarzbach, Y. Graded Poisson brackets and field theory. (English) Zbl 0908.17015 Bertrand, J. (ed.) et al., Modern group theoretical methods in physics. Proceedings of the conference in honour of Guy Rideau on the occasion of his retirement, Paris, France, January 1995. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 18, 189-196 (1995). MSC: 17B66 37J99 81T99 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach}, Math. Phys. Stud. 18, 189--196 (1995; Zbl 0908.17015)
Makaruk, Hanna Lie groups and quantum groups applied as a tool in finding solutions in some field theories. (English) Zbl 0882.17026 Rep. Math. Phys. 36, No. 2-3, 347-353 (1995). MSC: 17B81 81R50 81T99 PDFBibTeX XMLCite \textit{H. Makaruk}, Rep. Math. Phys. 36, No. 2--3, 347--353 (1995; Zbl 0882.17026) Full Text: DOI
Karassiov, Valery P.; Klimov, Andrei B. An algebraic approach to solving evolution problems in some nonlinear quantum models. (English) Zbl 0961.81519 Phys. Lett., A 189, No. 1-2, 43-51 (1994). MSC: 81Q99 17B81 81R50 81R99 81T99 37K30 PDFBibTeX XMLCite \textit{V. P. Karassiov} and \textit{A. B. Klimov}, Phys. Lett., A 189, No. 1--2, 43--51 (1994; Zbl 0961.81519) Full Text: DOI arXiv
Bychkov, S. A.; Yur’ev, D. V. Three algebraic structures of quantum projective [\(sl(2,\mathbb{C})\)- invariant] field theory. (English. Russian original) Zbl 0823.17043 Theor. Math. Phys. 97, No. 3, 1333-1339 (1993); translation from Teor. Mat. Fiz. 97, No. 3, 336-347 (1993). MSC: 17B69 81R10 81T99 PDFBibTeX XMLCite \textit{S. A. Bychkov} and \textit{D. V. Yur'ev}, Theor. Math. Phys. 97, No. 3, 1 (1993; Zbl 0823.17043); translation from Teor. Mat. Fiz. 97, No. 3, 336--347 (1993) Full Text: DOI
Morton, H. R. Invariants of links and 3-manifolds from skein theory and from quantum groups. (English) Zbl 0816.57003 Bozhüyük, Mehmet Emin (ed.), Topics in knot theory. Proceedings of the NATO Advanced Study Institute, Erzurum, Turkey, September 1-12, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 399, 107-155 (1993). Reviewer: J.A.Hillman (Sydney) MSC: 57M25 57N10 17B37 82B23 81T99 PDFBibTeX XMLCite \textit{H. R. Morton}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 399, 107--155 (1993; Zbl 0816.57003)
Gervais, Jean-Loup \(W\)-geometry from chiral embeddings. (English) Zbl 0792.53069 J. Geom. Phys. 11, 293-304 (1993). MSC: 53Z05 17B68 81T99 81T40 53C80 PDFBibTeX XMLCite \textit{J.-L. Gervais}, J. Geom. Phys. 11, 293--304 (1993; Zbl 0792.53069) Full Text: DOI
Ferguson, Kenneth Link invariants associated to TQFT’s with finite gauge groups. (English) Zbl 0778.57005 J. Knot Theory Ramifications 2, No. 1, 11-36 (1993). Reviewer: S.A.Piunikhin (Cambridge) MSC: 57M25 17B37 81R50 81T99 PDFBibTeX XMLCite \textit{K. Ferguson}, J. Knot Theory Ramifications 2, No. 1, 11--36 (1993; Zbl 0778.57005) Full Text: DOI
Andersen, Henning Haahr Tensor products of quantized tilting modules. (English) Zbl 0760.17004 Commun. Math. Phys. 149, No. 1, 149-159 (1992). Reviewer: E.J.Taft (New Brunswick) MSC: 17B37 16W30 57M25 81T99 PDFBibTeX XMLCite \textit{H. H. Andersen}, Commun. Math. Phys. 149, No. 1, 149--159 (1992; Zbl 0760.17004) Full Text: DOI
Socolovsky, M. Spin, monopole, instanton and Hopf bundles. (English) Zbl 0857.55012 Rentería, Carlos (ed.) et al., International seminar on algebra and its applications. Proceedings, Mexico City, Mexico, January 20–26, 1991. Mexico City: Sociedad Matemática Mexicana. Aportaciones Mat., Notas Invest. 6, 141-165 (1992). MSC: 55R25 17A35 81T99 PDFBibTeX XMLCite \textit{M. Socolovsky}, Aportaciones Mat., Notas Invest. 6, 141--165 (1992; Zbl 0857.55012)
Lukierski, Jerzy; Nowicki, Anatol; Ruegg, Henri New quantum Poincaré algebra and \(\kappa\)-deformed field theory. (English) Zbl 0834.17022 Phys. Lett., B 293, No. 3-4, 344-352 (1992). MSC: 17B37 81R50 81T99 PDFBibTeX XMLCite \textit{J. Lukierski} et al., Phys. Lett., B 293, No. 3--4, 344--352 (1992; Zbl 0834.17022) Full Text: DOI
Palev, Tchavdar D. Lie superalgebras, infinite-dimensional algebras and quantum statistics. (English) Zbl 0793.17008 Rep. Math. Phys. 31, No. 3, 241-262 (1992). Reviewer: J.Van der Jeugt (Gent) MSC: 17B70 17A70 81T99 PDFBibTeX XMLCite \textit{T. D. Palev}, Rep. Math. Phys. 31, No. 3, 241--262 (1992; Zbl 0793.17008) Full Text: DOI
Grosse, H.; Langmann, E. On current superalgebras and super-Schwinger terms. (English) Zbl 0726.17006 Lett. Math. Phys. 21, No. 1, 69-76 (1991). MSC: 17A70 81R10 46N50 15A75 81T99 PDFBibTeX XMLCite \textit{H. Grosse} and \textit{E. Langmann}, Lett. Math. Phys. 21, No. 1, 69--76 (1991; Zbl 0726.17006) Full Text: DOI
Turaev, Vladimir G. Skein quantization of Poisson algebras of loops on surfaces. (English) Zbl 0758.57011 Ann. Sci. Éc. Norm. Supér. (4) 24, No. 6, 635-704 (1991). Reviewer: J.Huebschmann (Villeneuve d’Ascq) MSC: 57N05 57M25 17B37 53D50 81Q99 81T99 57N10 PDFBibTeX XMLCite \textit{V. G. Turaev}, Ann. Sci. Éc. Norm. Supér. (4) 24, No. 6, 635--704 (1991; Zbl 0758.57011) Full Text: DOI Numdam EuDML
Feigin, B. L.; Shekhtman, V. V.; Varchenko, A. N. On algebraic equations satisfied by correlators in Wess-Zumino-Witten models. (English) Zbl 0719.35080 Lett. Math. Phys. 20, No. 4, 291-297 (1990). MSC: 35Q53 17B67 81T99 PDFBibTeX XMLCite \textit{B. L. Feigin} et al., Lett. Math. Phys. 20, No. 4, 291--297 (1990; Zbl 0719.35080) Full Text: DOI
Shekhtman, V. V.; Varchenko, A. N. Hypergeometric solutions of Knizhnik-Zamolodchikov equations. (English) Zbl 0719.35079 Lett. Math. Phys. 20, No. 4, 279-283 (1990). MSC: 35Q40 17B67 81T99 PDFBibTeX XMLCite \textit{V. V. Shekhtman} and \textit{A. N. Varchenko}, Lett. Math. Phys. 20, No. 4, 279--283 (1990; Zbl 0719.35079) Full Text: DOI
de Azcárraga, J. A.; Izquierdo, J. M.; Macfarlane, A. J. Current algebra and Wess-Zumino terms: A unified geometric treatment. (English) Zbl 0719.17021 Ann. Phys. 202, No. 1, 1-21 (1990). MSC: 17B81 81R10 81T99 PDFBibTeX XMLCite \textit{J. A. de Azcárraga} et al., Ann. Phys. 202, No. 1, 1--21 (1990; Zbl 0719.17021) Full Text: DOI
Zaikov, R. P. Virasoro algebras in the theory of bosonic p-branes. (English) Zbl 0716.17032 Int. J. Theor. Phys. 29, No. 10, 1059-1064 (1990). MSC: 17B81 81T99 81R10 17B68 PDFBibTeX XMLCite \textit{R. P. Zaikov}, Int. J. Theor. Phys. 29, No. 10, 1059--1064 (1990; Zbl 0716.17032) Full Text: DOI
Beckers, J.; Debergh, N. A note on recent Lie parasuperstructures. (English) Zbl 0708.17004 J. Phys. A, Math. Gen. 23, No. 21, L1073-L1077 (1990). MSC: 17A99 17A70 17A40 81T99 PDFBibTeX XMLCite \textit{J. Beckers} and \textit{N. Debergh}, J. Phys. A, Math. Gen. 23, No. 21, L1073--L1077 (1990; Zbl 0708.17004) Full Text: DOI
Degiovanni, P. \({\mathbb{Z}}/N{\mathbb{Z}}\) conformal field theories. (English) Zbl 0696.17012 Commun. Math. Phys. 127, No. 1, 71-99 (1990). MSC: 17B67 81T99 PDFBibTeX XMLCite \textit{P. Degiovanni}, Commun. Math. Phys. 127, No. 1, 71--99 (1990; Zbl 0696.17012) Full Text: DOI
Majid, Shahn On \(q\)-regularization. (English) Zbl 0745.17022 Int. J. Mod. Phys. A 5, No. 24, 4689-4696 (1990). MSC: 17B81 81R50 81T99 PDFBibTeX XMLCite \textit{S. Majid}, Int. J. Mod. Phys. A 5, No. 24, 4689--4696 (1990; Zbl 0745.17022) Full Text: DOI
Saitoh, Yoshihiro; Sakai, Norisuke; Yugami, Nobuhiro Bosonic constructions of \(W_ 3\) algebra. (English) Zbl 1058.81552 Prog. Theor. Phys. 83, No. 3, 621-637 (1990). MSC: 81R10 17B81 81T99 82B23 PDFBibTeX XMLCite \textit{Y. Saitoh} et al., Prog. Theor. Phys. 83, No. 3, 621--637 (1990; Zbl 1058.81552) Full Text: DOI
Takhtadzhan, L. A. Quantum groups and integrable models. (English) Zbl 0698.16008 Integrable systems in quantum field theory and statistical mechanics, Proc. Symp., Kyoto/Jap. and Kyuzeso/Jap. 1988, Adv. Stud. Pure Math. 19, 435-457 (1989). Reviewer: Tong Wenting MSC: 16W30 81T99 17B35 17B65 53D50 81R10 22E65 22E70 PDFBibTeX XML
Kuznetsov, V. B.; Tsyganov, A. V. Infinite series of Lie algebras and boundary conditions for integrable systems. (Russian. English summary) Zbl 0697.35132 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 172, 88-98 (1989). MSC: 35Q99 17B65 37J35 37K10 81T99 PDFBibTeX XMLCite \textit{V. B. Kuznetsov} and \textit{A. V. Tsyganov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 172, 88--98 (1989; Zbl 0697.35132) Full Text: EuDML
Jimbo, Michio Introduction to the Yang-Baxter equation. (English) Zbl 0697.35131 Int. J. Mod. Phys. A 4, No. 15, 3759-3777 (1989). Reviewer: M.Jimbo MSC: 35Q99 35-02 81T99 37J35 37K10 17B35 16W30 PDFBibTeX XMLCite \textit{M. Jimbo}, Int. J. Mod. Phys. A 4, No. 15, 3759--3777 (1989; Zbl 0697.35131) Full Text: DOI
Christe, P.; Ravanini, F. \(G_ N\otimes G_ L/G_{N+L}\) conformal field theories and their modular invariant partition functions. (English) Zbl 0696.17013 Int. J. Mod. Phys. A 4, No. 4, 897-920 (1989). Reviewer: A.N.Pressley MSC: 17B67 81T99 PDFBibTeX XMLCite \textit{P. Christe} and \textit{F. Ravanini}, Int. J. Mod. Phys. A 4, No. 4, 897--920 (1989; Zbl 0696.17013) Full Text: DOI
Cardy, John L. Boundary conditions in conformal field theory. (English) Zbl 0696.17011 Integrable systems in quantum field theory and statistical mechanics, Proc. Symp., Kyoto/Jap. and Kyuzeso/Jap. 1988, Adv. Stud. Pure Math. 19, 127-148 (1989). MSC: 17B65 81T99 82B20 PDFBibTeX XML
Tsuchiya, Akihiro; Ueno, Kenji; Yamada, Yasuhiko Conformal field theory on universal family of stable curves with gauge symmetries. (English) Zbl 0696.17010 Integrable systems in quantum field theory and statistical mechanics, Proc. Symp., Kyoto/Jap. and Kyuzeso/Jap. 1988, Adv. Stud. Pure Math. 19, 459-566 (1989). Reviewer: A.N.Pressley MSC: 17B65 81T99 14H15 PDFBibTeX XML
Lev, Felix Modular representations as a possible basis of finite physics. (English) Zbl 0696.17003 J. Math. Phys. 30, No. 9, 1985-1998 (1989). Reviewer: Yu.Mukhin MSC: 17B10 17B65 20C20 17A70 81T99 PDFBibTeX XMLCite \textit{F. Lev}, J. Math. Phys. 30, No. 9, 1985--1998 (1989; Zbl 0696.17003) Full Text: DOI
Schoutens, K.; Sevrin, A.; van Nieuwenhuizen, P. Quantum BRST charge for quadratically nonlinear Lie algebras. (English) Zbl 0695.17005 Commun. Math. Phys. 124, No. 1, 87-103 (1989). MSC: 17B65 81T99 PDFBibTeX XMLCite \textit{K. Schoutens} et al., Commun. Math. Phys. 124, No. 1, 87--103 (1989; Zbl 0695.17005) Full Text: DOI
Osipov, Edward P. The central extension of Kac-Moody-Malcev algebras. (English) Zbl 0685.17017 Lett. Math. Phys. 18, No. 1, 35-42 (1989). Reviewer: H.Yamada MSC: 17D10 17B67 30F99 81R10 81T99 PDFBibTeX XMLCite \textit{E. P. Osipov}, Lett. Math. Phys. 18, No. 1, 35--42 (1989; Zbl 0685.17017) Full Text: DOI
Goodman, Roe; Wallach, Nolan R. Higher-order Sugawara operators for affine Lie algebras. (English) Zbl 0676.17013 Trans. Am. Math. Soc. 315, No. 1, 1-55 (1989). Reviewer: A.N.Pressley MSC: 17B67 81T99 17B10 PDFBibTeX XMLCite \textit{R. Goodman} and \textit{N. R. Wallach}, Trans. Am. Math. Soc. 315, No. 1, 1--55 (1989; Zbl 0676.17013) Full Text: DOI
Budzyński, Robert J.; Klimek, Sławomir; Sadowski, Paweł The group of local biholomorphisms of \({\mathbb{C}}^ 1\) and conformal field theory in the operator formalism. (English) Zbl 0673.22006 Commun. Math. Phys. 120, No. 3, 481-499 (1989). Reviewer: A.N.Pressley MSC: 22E65 81T99 17B70 58D05 PDFBibTeX XMLCite \textit{R. J. Budzyński} et al., Commun. Math. Phys. 120, No. 3, 481--499 (1989; Zbl 0673.22006) Full Text: DOI
Katsura, Toshiyuki; Shimizu, Yuji; Ueno, Kenji New bosonization and conformal field theory over \({\mathbb{Z}}\). (English) Zbl 0672.14016 Commun. Math. Phys. 121, No. 4, 603-627 (1989). Reviewer: W.W.J.Hulsbergen MSC: 14H10 81T99 17B65 PDFBibTeX XMLCite \textit{T. Katsura} et al., Commun. Math. Phys. 121, No. 4, 603--627 (1989; Zbl 0672.14016) Full Text: DOI
Konisi, Gaku; Saito, Takesi; Shigemoto, Kazuyasu; Takahasi, Wataru Covariant Lagrangian formulation of interacting heterotic strings. (English) Zbl 0685.58052 Group theoretical methods in physics, Proc. 16th Int. Colloq., Varna/Bulg. 1987, Lect. Notes Phys. 313, 537-543 (1988). MSC: 58Z05 81T99 81T30 17B67 PDFBibTeX XML
Hartley, D. H.; Cornwell, J. F. The Parisi-Sourlas mechanism in pseudo-Euclidean space. (English) Zbl 0684.58057 J. Phys. A 21, No. 14, 3171-3182 (1988). MSC: 58Z05 17B70 81T99 PDFBibTeX XMLCite \textit{D. H. Hartley} and \textit{J. F. Cornwell}, J. Phys. A, Math. Gen. 21, No. 14, 3171--3182 (1988; Zbl 0684.58057) Full Text: DOI
Majid, Shahn Liouville theorem for the Yang-Mills self-duality equations. (English) Zbl 0684.58055 J. Math. Phys. 29, No. 10, 2303-2310 (1988). MSC: 58Z05 58J60 81T99 15A90 17B70 PDFBibTeX XMLCite \textit{S. Majid}, J. Math. Phys. 29, No. 10, 2303--2310 (1988; Zbl 0684.58055) Full Text: DOI
Shnider, Steven The superconformal algebra in higher dimensions. (English) Zbl 0674.17013 Lett. Math. Phys. 16, No. 4, 377-383 (1988). Reviewer: V.Pestov MSC: 17B70 58A50 83E50 81T99 53C80 PDFBibTeX XMLCite \textit{S. Shnider}, Lett. Math. Phys. 16, No. 4, 377--383 (1988; Zbl 0674.17013) Full Text: DOI
Paunov, R. P.; Todorov, I. T. Homogeneous space construction of modular invariant QFT models with a chiral U(1) current. (English) Zbl 0672.53066 Group theoretical methods in physics, Proc. 16th Int. Colloq., Varna/Bulg. 1987, Lect. Notes Phys. 313, 555-568 (1988). MSC: 53C80 22E70 53C30 81T99 17B10 17B67 PDFBibTeX XML
Aminou, R.; Kosmann-Schwarzbach, Y. Bigèbres de Lie, doubles et carrés. (Lie bigebras, doubles and squares). (French) Zbl 0667.16006 Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 461-478 (1988). Reviewer: T.Ratiu MSC: 16W30 17B67 81T99 22E70 17B10 17B60 35Q99 PDFBibTeX XMLCite \textit{R. Aminou} and \textit{Y. Kosmann-Schwarzbach}, Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 461--478 (1988; Zbl 0667.16006) Full Text: Numdam EuDML
Kosmann-Schwarzbach, Y.; Magri, F. Poisson-Lie groups and complete integrability. I: Drinfeld bigebras, dual extensions and their canonical representations. (English) Zbl 0667.16005 Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 433-460 (1988). Reviewer: T.Ratiu MSC: 16W30 17B10 17B67 17B35 81T99 22E70 17B60 35Q99 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach} and \textit{F. Magri}, Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 433--460 (1988; Zbl 0667.16005) Full Text: Numdam EuDML
Drinfel’d, V. G. A new realization of Yangians and quantized affine algebras. (English. Russian original) Zbl 0667.16004 Sov. Math., Dokl. 36, No. 2, 212-216 (1988); translation from Dokl. Akad. Nauk SSSR 269, 13-17 (1987). Reviewer: D.Leites MSC: 16W30 17B67 17B10 81T99 17B35 22E70 PDFBibTeX XMLCite \textit{V. G. Drinfel'd}, Sov. Math., Dokl. 36, No. 2, 212--216 (1988; Zbl 0667.16004); translation from Dokl. Akad. Nauk SSSR 269, 13--17 (1987)
Sasaki, Ryu; Yamanaka, Itaru Virasoro algebra, vertex operators, quantum Sine-Gordon and solvable quantum field theories. (English) Zbl 0661.35076 Conformal field theory and solvable lattice models, Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 271-296 (1988). Reviewer: G.F.Post MSC: 35Q99 17B65 81T99 PDFBibTeX XML
Park, S. U.; Cho, B. H.; Myung, Y. S. \(Z_ 3\)-symmetric conformal algebra from KdV-type equation. (English) Zbl 0661.35075 J. Phys. A 21, No. 5, 1167-1171 (1988). Reviewer: G.F.Post MSC: 35Q99 17B65 81T99 35A30 PDFBibTeX XMLCite \textit{S. U. Park} et al., J. Phys. A, Math. Gen. 21, No. 5, 1167--1171 (1988; Zbl 0661.35075) Full Text: DOI
Bardakci, K.; Rabinovici, E.; Säring, B. String models with \(c<1\) components. (English) Zbl 0661.17018 Nucl. Phys. B 299, No. 1, 151-182 (1988). MSC: 17B65 81T99 PDFBibTeX XMLCite \textit{K. Bardakci} et al., Nucl. Phys., B 299, No. 1, 151--182 (1988; Zbl 0661.17018) Full Text: DOI
Farmer, R. J.; King, R. C.; Wybourne, B. G. Spectrum-generating functions for strings and superstrings. (English) Zbl 0657.17015 J. Phys. A 21, No. 21, 3979-4007 (1988). Reviewer: J.Van der Jeugt MSC: 17B67 22E70 81T99 PDFBibTeX XMLCite \textit{R. J. Farmer} et al., J. Phys. A, Math. Gen. 21, No. 21, 3979--4007 (1988; Zbl 0657.17015) Full Text: DOI
Aldaya, Victor; Navarro-Salas, José Kac-Moody group representations and generalization of the Sugawara construction of the Virasoro algebra. (English) Zbl 0657.17014 Lett. Math. Phys. 16, No. 2, 117-124 (1988). Reviewer: J.Van der Jeugt MSC: 17B67 22E65 17B15 17B10 81T99 PDFBibTeX XMLCite \textit{V. Aldaya} and \textit{J. Navarro-Salas}, Lett. Math. Phys. 16, No. 2, 117--124 (1988; Zbl 0657.17014) Full Text: DOI
Crumeyrolle, A. Planck’s constant and symplectic geometry. (English) Zbl 0645.58021 Topics in differential geometry, Pap. Colloq., Hajduszoboszló/Hung. 1984, Vol. 1, Colloq. Math. Soc. János Bolyai 46, 277-297 (1988). Reviewer: A.Bacciotti MSC: 37J99 15A66 53C80 81T99 17B65 PDFBibTeX XML
Inoue, Kazuhiko; Odaka, Kazuhiko; Omote, Minoru Infinite number of conserved quantities and extended conformal algebra in the Thirring model. (English) Zbl 0644.58040 J. Math. Phys. 29, No. 2, 476-480 (1988). MSC: 58Z05 17B99 81T99 17A99 PDFBibTeX XMLCite \textit{K. Inoue} et al., J. Math. Phys. 29, No. 2, 476--480 (1988; Zbl 0644.58040) Full Text: DOI
Drinfel’d, V. G. Quantum groups. (English) Zbl 0641.16006 J. Sov. Math. 41, No. 2, 898-915 (1988). MSC: 16W30 17B99 22E70 17B35 81T99 PDFBibTeX XMLCite \textit{V. G. Drinfel'd}, J. Sov. Math. 41, No. 2, 898--915 (1988; Zbl 0641.16006) Full Text: DOI
Cougo-Pinto, M. V. The construction of \(B_ l^{(1)}\) in terms of vertex operators and a Lie admissible not associative algebra. (English) Zbl 0638.17009 J. Math. Phys. 29, No. 2, 275-280 (1988). MSC: 17B67 17D25 17B10 81T99 81T17 PDFBibTeX XMLCite \textit{M. V. Cougo-Pinto}, J. Math. Phys. 29, No. 2, 275--280 (1988; Zbl 0638.17009) Full Text: DOI
Verdier, Jean-Louis Groupes quantiques [d’après V. G. Drinfel’d]. (Quantum groups [following V. G. Drinfel’d]). (French) Zbl 0645.16006 Sémin. Bourbaki, 39ème année, Vol. 1986/87, Exp. 685, Astérisque 152/153, 305-319 (1987). Reviewer: S.I.Gel’fand MSC: 16W30 22E70 17B99 81T99 17B35 58Z05 PDFBibTeX XML Full Text: Numdam EuDML
Carey, A. L.; Ruijsenaars, S. N. M. On fermionic gauge groups, current algebras and Kac-Moody algebras. (English) Zbl 0644.22012 Acta Appl. Math. 10, 1-86 (1987). MSC: 22E70 46L60 81S05 17B67 47B35 81R10 81T99 22E65 PDFBibTeX XMLCite \textit{A. L. Carey} and \textit{S. N. M. Ruijsenaars}, Acta Appl. Math. 10, 1--86 (1987; Zbl 0644.22012) Full Text: DOI
Cappelli, A.; Itzykson, C.; Zuber, J. B. The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories. (English) Zbl 0639.17008 Commun. Math. Phys. 113, 1-26 (1987). Reviewer: A.N.Pressley MSC: 17B65 17B67 17B10 81T99 81T25 PDFBibTeX XMLCite \textit{A. Cappelli} et al., Commun. Math. Phys. 113, 1--26 (1987; Zbl 0639.17008) Full Text: DOI
Goddard, Peter The vertex operator construction for non-simply-laced Kac-Moody algebras. II. (English) Zbl 0638.17008 Topological and geometrical methods in field theory, Proc. Symp., Espoo/Finl. 1986, 37-57 (1987). Reviewer: H.Yamada MSC: 17B67 17B10 81T99 PDFBibTeX XML
Kac, V. G.; van de Leur, J. Super boson-fermion correspondence. (English) Zbl 0625.58041 Ann. Inst. Fourier 37, No. 4, 99-137 (1987). MSC: 17B70 17B10 05A19 58Z05 81T99 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{J. van de Leur}, Ann. Inst. Fourier 37, No. 4, 99--137 (1987; Zbl 0625.58041) Full Text: DOI Numdam EuDML
Hlousek, Z.; Yamagishi, K. An approach to BRST formulation of Kac-Moody algebra. (English) Zbl 0696.17014 Phys. Lett. B 173, No. 1, 65-68 (1986). MSC: 17B67 81T40 81T99 PDFBibTeX XMLCite \textit{Z. Hlousek} and \textit{K. Yamagishi}, Phys. Lett., B 173, No. 1, 65--68 (1986; Zbl 0696.17014) Full Text: DOI
Goddard, Peter; Olive, David Kac-Moody and Virasoro algebras in relation to quantum physics. (English) Zbl 0631.17012 Int. J. Mod. Phys. A 1, No. 2, 303-414 (1986). MSC: 17B67 17B68 17B69 81R10 81T99 17B81 17-02 PDFBibTeX XMLCite \textit{P. Goddard} and \textit{D. Olive}, Int. J. Mod. Phys. A 1, No. 2, 303--414 (1986; Zbl 0631.17012) Full Text: DOI
de Vega, H. J. Current algebras and integrable field theories. The Wess-Zumino-Witten sigma model. (English) Zbl 0627.58024 Systèmes dynamiques non linéaires: intégrabilité et comportement qualitatif, Sémin. Math. Supér., Sémin. Sci. OTAN (NATO Adv. Study Inst.) 102, 90-100 (1986). Reviewer: T.Ratiu MSC: 37J35 37K10 81T99 17B65 PDFBibTeX XML
Drinfel’d, V. G. Quantum groups. (Russian. English summary) Zbl 0617.16004 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 18-49 (1986). Reviewer: L.Vaserstein MSC: 16W30 17B99 22E70 17B35 81T99 PDFBibTeX XMLCite \textit{V. G. Drinfel'd}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 18--49 (1986; Zbl 0617.16004) Full Text: EuDML
Isham, C. J.; Kuchař, K. V. Representations of spacetime diffeomorphisms. I: Canonical parametrized field theories. II: Canonical geometrodynamics. (English) Zbl 0617.58008 Ann. Phys. 164, 288-315, 316-333 (1985). MSC: 58D05 81T99 17B65 PDFBibTeX XMLCite \textit{C. J. Isham} and \textit{K. V. Kuchař}, Ann. Phys. 164, 288--315, 316--333 (1985; Zbl 0617.58008) Full Text: DOI
Corrigan, E. F. Some comments on a cubic algebra. (English) Zbl 0595.17015 Suppl. Rend. Circ. Mat. Palermo, II. Ser. 9, 43-52 (1985). Reviewer: R.C.King MSC: 17D99 81T99 17A99 PDFBibTeX XMLCite \textit{E. F. Corrigan}, Suppl. Rend. Circ. Mat. Palermo (2) 9, 43--52 (1985; Zbl 0595.17015)
Trostel, Robert Color analysis and generalized Lie (super)groups. (English) Zbl 0585.22018 Hadronic J. 8, 159-162 (1985). Reviewer: M.Scheunert MSC: 22E99 17A70 22E05 22E70 81T99 58H05 PDFBibTeX XMLCite \textit{R. Trostel}, Hadronic J. 8, 159--162 (1985; Zbl 0585.22018)
Lepowsky, J. Some constructions of the affine Lie algebra \(A_ 1^{(1)}\). (English) Zbl 0558.17012 Applications of group theory in physics and mathematical physics, Proc. Summer Semin., Chicago 1982, Lect. Appl. Math. 21, 375-397 (1985). Reviewer: E.Abe MSC: 17B65 81T99 35Q99 05A19 15A66 PDFBibTeX XML
Thorn, Charles B. A proof of the no-ghost theorem using the Kac determinant. (English) Zbl 0556.17003 Vertex operators in mathematics and physics, Proc. Conf., Berkeley/CA 1983, Publ., Math. Sci. Res. Inst. 3, 411-417 (1985). Reviewer: L.N.Vaserstein MSC: 17B65 81T99 83E15 PDFBibTeX XML
Kochetkov, Yuri Yu. Déformations des superalgèbres de Buttin et quantification. (Deformations of Buttin superalgebras and quantization). (French) Zbl 0572.17003 C. R. Acad. Sci., Paris, Sér. I 299, 643-645 (1984). MSC: 17A70 81T99 PDFBibTeX XMLCite \textit{Y. Yu. Kochetkov}, C. R. Acad. Sci., Paris, Sér. I 299, 643--645 (1984; Zbl 0572.17003)
Rogers, Alice Super Lie groups: global topology and local structure. (English) Zbl 0473.22013 J. Math. Phys. 22, 939-945 (1981). MSC: 22E70 17B70 58B25 81T99 81T60 PDFBibTeX XMLCite \textit{A. Rogers}, J. Math. Phys. 22, 939--945 (1981; Zbl 0473.22013) Full Text: DOI
Ganchev, A. Ch.; Palev, T. D. A Lie superalgebraic interpretation of the para-Bose statistics. (English) Zbl 0446.17004 J. Math. Phys. 21, 797-799 (1980). MSC: 17A70 81T99 22E70 81R10 PDFBibTeX XMLCite \textit{A. Ch. Ganchev} and \textit{T. D. Palev}, J. Math. Phys. 21, 797--799 (1980; Zbl 0446.17004) Full Text: DOI
Palev, Tchavdar D. Fock space representations of the Lie superalgebra A(0,n). (English) Zbl 0446.17003 J. Math. Phys. 21, 1293-1298 (1980). MSC: 17A70 22E70 81T99 81R10 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 21, 1293--1298 (1980; Zbl 0446.17003) Full Text: DOI
Muses, C. Hypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometries. (English) Zbl 0439.17011 Appl. Math. Comput. 6, 63-94 (1980). MSC: 17D99 81T99 81T05 83E15 83C50 PDFBibTeX XMLCite \textit{C. Muses}, Appl. Math. Comput. 6, 63--94 (1980; Zbl 0439.17011) Full Text: DOI
Myung, Hyo Chul (ed.); Okubo, Susumu (ed.); Santilli, Ruggero Maria (ed.) Applications of Lie-admissible algebras in physics. Vols. I, II. (A reprint series). (English) Zbl 0449.17013 Nonantum, Massachusetts: Hadronic Press, Inc. IV, 601 p. (1978). MSC: 17D99 17-02 81-02 81P20 81V05 81Q99 70J30 83A05 83C45 70F99 00Bxx 01A75 81T99 PDFBibTeX XML
Ktorides, C. N. Lie-admissible quantization in a self-interacting scalar field theory. (English) Zbl 0431.17012 Hadronic J. 1, 194-222 (1978). MSC: 17D99 81T99 PDFBibTeX XMLCite \textit{C. N. Ktorides}, Hadronic J. 1, 194--222 (1978; Zbl 0431.17012)
Wene, Gregory P. An example of a flexible, Jordan-admissible algebra of current use in physics. (English) Zbl 0417.17010 Hadronic J. 1, 944-954 (1978). MSC: 17D99 17A20 17A15 17C20 17A45 81T99 PDFBibTeX XMLCite \textit{G. P. Wene}, Hadronic J. 1, 944--954 (1978; Zbl 0417.17010)
Streater, R. F. Infinitely divisible representations of Lie algebras. (English) Zbl 0199.35202 Z. Wahrscheinlichkeitstheor. Verw. Geb. 19, 67-80 (1971). MSC: 17B15 17B10 81T99 60E99 PDFBibTeX XMLCite \textit{R. F. Streater}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 19, 67--80 (1971; Zbl 0199.35202) Full Text: DOI