Álvarez-Nodarse, R.; Arenas-Gómez, A. The \(q\)-analog of the quantum theory of angular momentum: a review from special functions. (English) Zbl 07822054 Russ. J. Math. Phys. 31, No. 1, 24-43 (2024). MSC: 17Bxx 33Dxx 81Rxx PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} and \textit{A. Arenas-Gómez}, Russ. J. Math. Phys. 31, No. 1, 24--43 (2024; Zbl 07822054) Full Text: DOI arXiv
Prinz, David Gauge symmetries and renormalization. (English) Zbl 1510.81100 Math. Phys. Anal. Geom. 25, No. 3, Paper No. 20, 53 p. (2022). MSC: 81T13 81T15 81T17 22E70 16T05 83C45 81V22 17B69 81T18 PDFBibTeX XMLCite \textit{D. Prinz}, Math. Phys. Anal. Geom. 25, No. 3, Paper No. 20, 53 p. (2022; Zbl 1510.81100) Full Text: DOI arXiv
Gui, Bin Categorical extensions of conformal nets. (English) Zbl 1469.18024 Commun. Math. Phys. 383, No. 2, 763-839 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 17B69 46L60 46L87 81T40 PDFBibTeX XMLCite \textit{B. Gui}, Commun. Math. Phys. 383, No. 2, 763--839 (2021; Zbl 1469.18024) Full Text: DOI arXiv
Osten, David Current algebras, generalised fluxes and non-geometry. (English) Zbl 1519.81292 J. Phys. A, Math. Theor. 53, No. 26, Article ID 265402, 44 p. (2020). MSC: 81R10 17B65 PDFBibTeX XMLCite \textit{D. Osten}, J. Phys. A, Math. Theor. 53, No. 26, Article ID 265402, 44 p. (2020; Zbl 1519.81292) Full Text: DOI arXiv
Duncan, John F. R. A short introduction to the algebra, geometry, number theory and physics of moonshine. (English) Zbl 1454.81184 Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 1-85 (2020). MSC: 81T40 14H52 14J15 17B69 57R18 58J26 11F22 20D08 PDFBibTeX XMLCite \textit{J. F. R. Duncan}, Mosc. Lect. 5, 1--85 (2020; Zbl 1454.81184) Full Text: DOI
Kibaroğlu, Salih; Cebecioğlu, Oktay Generalized cosmological constant from gauging Maxwell-conformal algebra. (English) Zbl 1434.70065 Phys. Lett., B 803, Article ID 135295, 7 p. (2020). MSC: 70S15 17B81 83D05 PDFBibTeX XMLCite \textit{S. Kibaroğlu} and \textit{O. Cebecioğlu}, Phys. Lett., B 803, Article ID 135295, 7 p. (2020; Zbl 1434.70065) Full Text: DOI arXiv
Wolk, Brian Jonathan The Riemann curvature tensor and Higgs scalar field within CAM theory. (English) Zbl 1437.81141 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 4, 11 p. (2020). MSC: 81V22 81R20 83C47 83C60 17A15 81V17 70S05 15A66 PDFBibTeX XMLCite \textit{B. J. Wolk}, Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 4, 11 p. (2020; Zbl 1437.81141) Full Text: DOI
Gui, Bin Unitarity of the modular tensor categories associated to unitary vertex operator algebras. II. (English) Zbl 1425.17040 Commun. Math. Phys. 372, No. 3, 893-950 (2019). MSC: 17B69 18D10 PDFBibTeX XMLCite \textit{B. Gui}, Commun. Math. Phys. 372, No. 3, 893--950 (2019; Zbl 1425.17040) Full Text: DOI arXiv
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto; Weiner, Mihály From vertex operator algebras to conformal nets and back. (English) Zbl 1434.17001 Memoirs of the American Mathematical Society 1213. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2858-7/print; 978-1-4704-4742-7/ebook). vi, 90 p. (2018). MSC: 17-02 17B69 81R05 81R10 PDFBibTeX XMLCite \textit{S. Carpi} et al., From vertex operator algebras to conformal nets and back. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1434.17001) Full Text: DOI arXiv Link
Miyazawa, Toru \(\operatorname{SL}(3, \mathbf{C})\) structure of one-dimensional Schrödinger equation. (English) Zbl 1410.81017 J. Math. Phys. 59, No. 6, 062106, 33 p. (2018). MSC: 81Q05 81Q10 81U10 34L40 34B27 17B81 PDFBibTeX XMLCite \textit{T. Miyazawa}, J. Math. Phys. 59, No. 6, 062106, 33 p. (2018; Zbl 1410.81017) Full Text: DOI arXiv
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. Scientific heritage of L. D. Faddeev. Survey of papers. (English. Russian original) Zbl 1396.81008 Russ. Math. Surv. 72, No. 6, 977-1081 (2017); translation from Usp. Mat. Nauk 72, No. 6, xx (2017). MSC: 81-03 01A60 01A70 16T25 17B37 35J10 35P25 35Q53 35Q55 37K15 58B32 58J52 70S15 81R50 81S40 81T10 81T13 81T50 81T70 81U40 82B23 82C23 PDFBibTeX XMLCite \textit{L. A. Takhtajan} et al., Russ. Math. Surv. 72, No. 6, 977--1081 (2017; Zbl 1396.81008); translation from Usp. Mat. Nauk 72, No. 6, xx (2017) Full Text: DOI
Much, A. Relativistic corrections to the Moyal-Weyl spacetime. (English) Zbl 1310.81096 J. Math. Phys. 56, No. 2, 022301, 15 p. (2015). MSC: 81R50 81T75 17B37 83C65 81T70 PDFBibTeX XMLCite \textit{A. Much}, J. Math. Phys. 56, No. 2, 022301, 15 p. (2015; Zbl 1310.81096) Full Text: DOI arXiv
Calixto, M.; Pérez-Romero, E. On the oscillator realization of conformal \(\mathrm{U}(2, 2)\) quantum particles and their particle-hole coherent states. (English) Zbl 1309.81110 J. Math. Phys. 55, No. 8, 081706, 18 p. (2014). Reviewer: Franz Luef (Trondheim) MSC: 81R30 81T40 81V70 81V25 82D20 17B81 PDFBibTeX XMLCite \textit{M. Calixto} and \textit{E. Pérez-Romero}, J. Math. Phys. 55, No. 8, 081706, 18 p. (2014; Zbl 1309.81110) Full Text: DOI arXiv
Salom, Igor; Šijački, Djordje Generalization of the Gell-Mann decontraction formula for \(sl(n,\mathbb R)\) and its applications in affine gravity. (English) Zbl 1281.81043 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. IX international workshop. Based on the 9th workshop on Lie theory and its applications in physics, Varna, Bulgaria, June 20–26, 2011. Tokyo: Springer (ISBN 978-4-431-54269-8/hbk; 978-4-431-54270-4/ebook). Springer Proceedings in Mathematics & Statistics 36, 337-347 (2013). MSC: 81R05 17B81 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Springer Proc. Math. Stat. 36, 337--347 (2013; Zbl 1281.81043) Full Text: DOI
Salom, Igor; Šijački, Djordje Validity of the Gell-Mann formula for \(\mathrm{su}(n,\mathbb R)\) and \(\mathrm{su}(n)\) algebras. (English) Zbl 1272.17011 Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350017, 10 p. (2013). Reviewer: Evelyn Weimar-Woods (Berlin) MSC: 17B05 17B20 81R05 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350017, 10 p. (2013; Zbl 1272.17011) Full Text: DOI
El-Showk, Sheer; Nakayama, Yu; Rychkov, Slava What Maxwell theory in \(d\neq 4\) teaches us about scale and conformal invariance? (English) Zbl 1215.78006 Nucl. Phys., B 848, No. 3, 578-593 (2011). MSC: 78A25 17A70 83E15 81T40 PDFBibTeX XMLCite \textit{S. El-Showk} et al., Nucl. Phys., B 848, No. 3, 578--593 (2011; Zbl 1215.78006) Full Text: DOI arXiv
Salom, Igor; Šijački, Djordje Generalization of the Gell-Mann decontraction formula for \(\text{sl}(n,\mathbb R)\) and \(\text{su}(n)\) algebras. (English) Zbl 1280.17009 Int. J. Geom. Methods Mod. Phys. 8, No. 2, 395-410 (2011). MSC: 17B05 17B81 81R05 22E70 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Int. J. Geom. Methods Mod. Phys. 8, No. 2, 395--410 (2011; Zbl 1280.17009) Full Text: DOI arXiv
Steinhoff, J. Canonical formulation of spin in general relativity. (English) Zbl 1218.83018 Ann. Phys. (8) 20, No. 4, 296-353 (2011). MSC: 83C40 83C05 17B45 83C25 PDFBibTeX XMLCite \textit{J. Steinhoff}, Ann. Phys. (8) 20, No. 4, 296--353 (2011; Zbl 1218.83018) Full Text: DOI arXiv
Salom, Igor; Šijački, Djordje Generalization of the Gell-Mann formula for \(\text{sl}(5,\mathbb R)\) and \(\text{su}(5)\) algebras. (English) Zbl 1226.17005 Int. J. Geom. Methods Mod. Phys. 7, No. 3, 455-470 (2010). MSC: 17B05 17B81 81R10 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Int. J. Geom. Methods Mod. Phys. 7, No. 3, 455--470 (2010; Zbl 1226.17005) Full Text: DOI arXiv
Wesslén, Maria S. M. A geometric description of tensor product decompositions in \(\mathfrak{su}(3)\). (English) Zbl 1152.81632 J. Math. Phys. 49, No. 7, 073506, 16 p. (2008). MSC: 81R05 17B81 PDFBibTeX XMLCite \textit{M. S. M. Wesslén}, J. Math. Phys. 49, No. 7, 073506, 16 p. (2008; Zbl 1152.81632) Full Text: DOI
Ne’eman, Yuval Noncommutative geometry, superconnections and Riemannian gravity as a low-energy theory. (English) Zbl 0943.83024 Gen. Relativ. Gravitation 31, No. 5, 725-735 (1999). MSC: 83C30 58B32 83C45 17B81 PDFBibTeX XMLCite \textit{Y. Ne'eman}, Gen. Relativ. Gravitation 31, No. 5, 725--735 (1999; Zbl 0943.83024) Full Text: DOI
Ferrara, Sergio; Günaydin, Murat Orbits of exceptional groups, duality and BPS states in string theory. (English) Zbl 0936.81032 Int. J. Mod. Phys. A 13, No. 13, 2075-2088 (1998). MSC: 81T30 83E30 17B81 83E50 PDFBibTeX XMLCite \textit{S. Ferrara} and \textit{M. Günaydin}, Int. J. Mod. Phys. A 13, No. 13, 2075--2088 (1998; Zbl 0936.81032) Full Text: DOI arXiv
Günaydin, M. On an exceptional nonassociative superspace. (English) Zbl 0722.17002 J. Math. Phys. 31, No. 7, 1776-1782 (1990). Reviewer: M.Scheunert (Bonn) MSC: 17A70 17C50 PDFBibTeX XMLCite \textit{M. Günaydin}, J. Math. Phys. 31, No. 7, 1776--1782 (1990; Zbl 0722.17002) Full Text: DOI Link
Kuryshkin, V. V. Intermediate quantum statistics for identical objects. (English) Zbl 0664.46078 Int. J. Theor. Phys. 27, No. 11, 1383-1393 (1988). MSC: 46N99 17A70 82B10 PDFBibTeX XMLCite \textit{V. V. Kuryshkin}, Int. J. Theor. Phys. 27, No. 11, 1383--1393 (1988; Zbl 0664.46078) Full Text: DOI
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
Leznov, A. N.; Savel’ev, M. V. Nonlinear equations and graded Lie algebras. (English) Zbl 0612.58019 J. Sov. Math. 36, 699-721 (1987). MSC: 37J35 37K10 17B65 17A70 PDFBibTeX XMLCite \textit{A. N. Leznov} and \textit{M. V. Savel'ev}, J. Sov. Math. 36, 699--721 (1987; Zbl 0612.58019) Full Text: DOI
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
Hegerfeldt, Gerhard C. Noncommutative analogs of probabilistic notions and results. (English) Zbl 0582.46062 J. Funct. Anal. 64, 436-456 (1985). MSC: 46L51 46L53 46L54 46N99 82B05 82B10 17B10 PDFBibTeX XMLCite \textit{G. C. Hegerfeldt}, J. Funct. Anal. 64, 436--456 (1985; Zbl 0582.46062) Full Text: DOI
Guenaydin, M.; Saçlioğlu, Cihan K. Oscillator-like unitary representations of non-compact groups with a Jordan structure and the non-compact groups of supergravity. (English) Zbl 0498.22019 Commun. Math. Phys. 87, 159-179 (1982). MSC: 22E70 22E60 81R10 17A40 17B60 PDFBibTeX XMLCite \textit{M. Guenaydin} and \textit{C. K. Saçlioğlu}, Commun. Math. Phys. 87, 159--179 (1982; Zbl 0498.22019) Full Text: DOI