Santos, A. F.; Khanna, Faqir C. Corrections due to Lorentz violation, finite temperature, and magnetic field for the Casimir effect of a massive scalar field. (English) Zbl 1490.81118 Int. J. Theor. Phys. 61, No. 4, Paper No. 96, 14 p. (2022). MSC: 81T55 22E70 81T13 81T99 81V22 PDFBibTeX XMLCite \textit{A. F. Santos} and \textit{F. C. Khanna}, Int. J. Theor. Phys. 61, No. 4, Paper No. 96, 14 p. (2022; Zbl 1490.81118) Full Text: DOI
Saller, Heinrich Operational quantum theory. I: Non-relativistic structures. (English) Zbl 1104.81004 Operational Physics. New York, NY: Springer (ISBN 0-387-29199-7/hbk). xiii, 408 p. (2006). Reviewer: Bassano Vacchini (Milano) MSC: 81-02 81P05 81T99 22E70 PDFBibTeX XMLCite \textit{H. Saller}, Operational quantum theory. I: Non-relativistic structures. New York, NY: Springer (2006; Zbl 1104.81004)
Saller, Heinrich Operational quantum theory. II: Relativistic structures. (English) Zbl 1105.81002 Operational Physics. New York, NY: Springer (ISBN 0-387-29776-6/hbk). xii, 333 p. (2006). Reviewer: Bassano Vacchini (Milano) MSC: 81-02 81P05 81T99 22E70 PDFBibTeX XMLCite \textit{H. Saller}, Operational quantum theory. II: Relativistic structures. New York, NY: Springer (2006; Zbl 1105.81002) Full Text: DOI
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
Zav’yalov, O. I. Nonlinear representations of the Lorentz group in quantum field theory. (English. Russian original) Zbl 0998.81040 Theor. Math. Phys. 127, No. 1, 471-482 (2001); translation from Teor. Mat. Fiz. 127, No. 1, 75-89 (2001). Reviewer: Eugene Kryachko (Herverlee-Leuven) MSC: 81S30 81R05 22E43 81T99 PDFBibTeX XMLCite \textit{O. I. Zav'yalov}, Theor. Math. Phys. 127, No. 1, 471--482 (2001; Zbl 0998.81040); translation from Teor. Mat. Fiz. 127, No. 1, 75--89 (2001) Full Text: DOI
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
Lee, C.-W. H.; Rajeev, S. G. A review of symmetry algebras of quantum matrix models in the large \(N\) limit. (English) Zbl 0974.81046 Int. J. Mod. Phys. A 14, No. 28, 4395-4455 (1999). Reviewer: A.A.Bogush (Minsk) MSC: 81T30 81R10 81T99 81T13 15A30 22E65 PDFBibTeX XMLCite \textit{C. W. H. Lee} and \textit{S. G. Rajeev}, Int. J. Mod. Phys. A 14, No. 28, 4395--4455 (1999; Zbl 0974.81046) Full Text: DOI arXiv
Gausterer, H.; Thaler, H. Complex Langevin for semisimple compact connected Lie groups and \(U(1)\). (English) Zbl 0925.22007 J. Phys. A, Math. Gen. 31, No. 11, 2541-2549 (1998). MSC: 22E70 81T99 60H10 PDFBibTeX XMLCite \textit{H. Gausterer} and \textit{H. Thaler}, J. Phys. A, Math. Gen. 31, No. 11, 2541--2549 (1998; Zbl 0925.22007) Full Text: DOI
Santana, Ademir E.; Khanna, F. C.; Chu, H.; Chang, Y. C. Thermal Lie groups, classical mechanics, and thermofield dynamics. (English) Zbl 0893.22013 Ann. Phys. 249, No. 2, 481-498 (1996). MSC: 22E70 81R05 81T99 PDFBibTeX XMLCite \textit{A. E. Santana} et al., Ann. Phys. 249, No. 2, 481--498 (1996; Zbl 0893.22013) Full Text: DOI Link
Kadeisvili, J. V. An introduction to the Lie-Santilli isotopic theory. (English) Zbl 0859.22013 Jñānābha 25, 7-54 (1995). Reviewer: L.M.Sokołowski (Kraków) MSC: 22E70 53B50 81T99 PDFBibTeX XMLCite \textit{J. V. Kadeisvili}, Jñānābha 25, 7--54 (1995; Zbl 0859.22013)
Sheĭnman, O. K. Hamiltonian string formalism and discrete groups. (English. Russian original) Zbl 0711.58028 Funct. Anal. Appl. 23, No. 2, 124-128 (1989); translation from Funkts. Anal. Prilozh. 23, No. 2, 49-54 (1989). Reviewer: V. Müller MSC: 81T99 22E40 32G20 37N99 81T30 83E30 PDFBibTeX XMLCite \textit{O. K. Sheĭnman}, Funct. Anal. Appl. 23, No. 2, 124--128 (1989; Zbl 0711.58028); translation from Funkts. Anal. Prilozh. 23, No. 2, 49--54 (1989) 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
Lyakhovskij, V. D.; Vassilevich, D. V. Algebraic approach to Kaluza-Klein models. (English) Zbl 0695.22011 Lett. Math. Phys. 17, No. 2, 109-115 (1989). Reviewer: W.Miller, jun MSC: 22E70 81T99 PDFBibTeX XMLCite \textit{V. D. Lyakhovskij} and \textit{D. V. Vassilevich}, Lett. Math. Phys. 17, No. 2, 109--115 (1989; Zbl 0695.22011) 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
Berezin, A. V.; Kuvshinov, V. I.; Fedorov, F. I. Intrinsic linear parametrization of the Poincaré supergroup. (English. Russian original) Zbl 0674.22007 Sov. Phys., Dokl. 33, No. 9, 667-668 (1988); translation from Dokl. Akad. Nauk SSSR 302, No. 2, 317-319 (1988). MSC: 22E70 22E65 81T99 PDFBibTeX XMLCite \textit{A. V. Berezin} et al., Sov. Phys., Dokl. 33, No. 9, 667--668 (1988; Zbl 0674.22007); translation from Dokl. Akad. Nauk SSSR 302, No. 2, 317--319 (1988)
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)
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
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
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
Carey, A. L.; Murray, M. K. Holonomy and the Wess-Zumino term. (English) Zbl 0623.58027 Lett. Math. Phys. 12, 323-327 (1986). Reviewer: H.Schröder MSC: 58Z05 81T99 58D15 53C05 22E65 PDFBibTeX XMLCite \textit{A. L. Carey} and \textit{M. K. Murray}, Lett. Math. Phys. 12, 323--327 (1986; Zbl 0623.58027) Full Text: DOI
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
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)
Abdalla, Elcio Non linear sigma models: A geometrical approach in quantum field theory. (English) Zbl 0568.22011 Non-linear equations in classical and quantum field theory, Proc. Semin., Paris 1983-1984, Lect. Notes Phys. 226, 140-158 (1985). Reviewer: A.O.Barut MSC: 22E70 81T99 PDFBibTeX XML
Nishioka, Michio Note on the Lie-admissible lifting of the commutation relations and the introduction of a fundamental length. (English) Zbl 0576.58035 Hadronic J. 7, 1506-1514 (1984). Reviewer: N.Jacob MSC: 58J99 81T60 22E70 81T99 PDFBibTeX XMLCite \textit{M. Nishioka}, Hadronic J. 7, 1506--1514 (1984; Zbl 0576.58035)
Carey, A. L. Infinite dimensional groups and quantum field theory. (English) Zbl 0545.22019 Acta Appl. Math. 1, 321-331 (1983). Reviewer: S.Choy MSC: 22E65 81T99 58B05 PDFBibTeX XMLCite \textit{A. L. Carey}, Acta Appl. Math. 1, 321--331 (1983; Zbl 0545.22019) Full Text: DOI
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
Vladimirov, S. A. Symmetry groups of the Lagrangians of chiral fields with values on \(S^ 2\). (English) Zbl 0455.58011 Theor. Math. Phys. 44, 829-831 (1981). MSC: 37J99 22E99 58E30 70H03 57S99 81T99 70H99 PDFBibTeX XMLCite \textit{S. A. Vladimirov}, Theor. Math. Phys. 44, 829--831 (1981; Zbl 0455.58011) Full Text: DOI
Rogers, Alice A global theory of supermanifolds. (English) Zbl 0447.58003 J. Math. Phys. 21, 1352-1365 (1980). MSC: 58A99 58A05 58B99 22E65 22E70 81T99 83E99 PDFBibTeX XMLCite \textit{A. Rogers}, J. Math. Phys. 21, 1352--1365 (1980; Zbl 0447.58003) 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
Segal, I. E. The complex-wave representation of the free Boson field. (English) Zbl 0471.22024 Topics in functional analysis, Essays dedic. M. G. Krein, Adv. Math., Suppl. Stud. 3, 321-343 (1978). MSC: 22E70 81T99 PDFBibTeX XML
De Alfaro, V.; Fubini, S.; Furlan, G. Conformal invariance in field theory. (English) Zbl 0449.22024 Differ. geom. Meth. math. Phys. II, Proc., Bonn 1977, Lect. Notes Math. 676, 255-293 (1978). MSC: 22E70 81T99 PDFBibTeX XML
Ablamowicz, R.; Mozrzymas, J.; Oziewicz, Z.; Rzewuski, J. Spinor space. (English) Zbl 0417.53042 Rep. Math. Phys. 14, 89-100 (1978). MSC: 53C80 53C27 22E70 53B50 81V35 81T60 81T99 PDFBibTeX XMLCite \textit{R. Ablamowicz} et al., Rep. Math. Phys. 14, 89--100 (1978; Zbl 0417.53042) Full Text: DOI