Corradetti, Daniele; Marrani, Alessio; Zucconi, Francesco A minimal and non-alternative realisation of the Cayley plane. (English) Zbl 07901284 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 3, 681-730 (2024). MSC: 17A35 17A75 51A50 22E60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Debray, Arun; Yu, Matthew What bordism-theoretic anomaly cancellation can do for U. (English) Zbl 07873578 Commun. Math. Phys. 405, No. 7, Paper No. 154, 28 p. (2024). MSC: 81Txx 57Rxx 83Exx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Draper, Cristina; Palomo, Francisco J. Reductive homogeneous spaces of the compact Lie group \(G_2\). (English) Zbl 1537.22050 Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 29-63 (2023). MSC: 22F30 17B25 53C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gunaydin, Murat; Kallosh, Renata; Linde, Andrei; Yamada, Yusuke M-theory cosmology, octonions, error correcting codes. (English) Zbl 1459.85002 J. High Energy Phys. 2021, No. 1, Paper No. 160, 60 p. (2021). MSC: 85A40 83E50 81R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Prada, Oscar; Ramanan, S. Involutions and higher order automorphisms of Higgs bundle moduli spaces. (English) Zbl 1427.14068 Proc. Lond. Math. Soc. (3) 119, No. 3, 681-732 (2019). Reviewer: George H. Hitching (Oslo) MSC: 14H60 57R57 58D29 14J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chuah, Meng-Kiat Affine Vogan diagrams and symmetric pairs. (English) Zbl 1430.17031 J. Pure Appl. Algebra 222, No. 7, 1606-1627 (2018). MSC: 17B20 17B22 53C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Draper Fontanals, Cristina Notes on \(G_2\): the Lie algebra and the Lie group. (English) Zbl 1430.17038 Differ. Geom. Appl. 57, 23-74 (2018). MSC: 17B25 22E60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gogberashvili, Merab; Sakhelashvili, Otari Geometrical applications of split octonions. (English) Zbl 1337.81075 Adv. Math. Phys. 2015, Article ID 196708, 14 p. (2015). MSC: 81R20 81V25 81V80 83A05 11R52 20G41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciccoli, N. Fantappiè’s “final relativity” and deformations of Lie algebras. (English) Zbl 1320.01016 Arch. Hist. Exact Sci. 69, No. 3, 311-326 (2015). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A60 01A70 17-03 81-03 × Cite Format Result Cite Review PDF Full Text: DOI
Kolb, Stefan Quantum symmetric Kac-Moody pairs. (English) Zbl 1300.17011 Adv. Math. 267, 395-469 (2014). MSC: 17B37 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godazgar, Hadi; Godazgar, Mahdi; Perry, Malcolm J. \(E_{8}\) duality and dual gravity. (English) Zbl 1342.83476 J. High Energy Phys. 2013, No. 6, Paper No. 044, 36 p. (2013). MSC: 83E50 83E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berman, David S.; Godazgar, Hadi; Perry, Malcolm J.; West, Peter Duality invariant actions and generalised geometry. (English) Zbl 1309.81201 J. High Energy Phys. 2012, No. 2, Paper No. 108, 54 p. (2012). MSC: 81T30 83E50 83E15 20C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crane, M.; Patrangenaru, V. Random change on a Lie group and mean glaucomatous projective shape change detection from stereo pair images. (English) Zbl 1328.62321 J. Multivariate Anal. 102, No. 2, 225-237 (2011). MSC: 62H11 62H10 62H35 × Cite Format Result Cite Review PDF Full Text: DOI
Kastrup, H. A. Quantization of the optimal phase space \(\mathcal S^2=\{\varphi\bmod 2\pi,\;I>0\}\) in terms of the group \(\mathrm{SO}^{\uparrow}(1,2)\). (English) Zbl 1048.81037 Fortschr. Phys. 51, No. 10-11, 975-1134 (2003). Reviewer: Stefan Berceanu (Bucharest-Magurele) MSC: 81S10 22E70 81-02 81V80 81R30 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berman, Stephen; Parshall, Karen Hunger Victor Kac and Robert Moody: their paths to Kac-Moody Lie algebras. (English) Zbl 1048.17001 Math. Intell. 24, No. 1, 50-60 (2002). Reviewer: Gordon Brown (Boulder) MSC: 17-03 01A70 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Carlton, Eloise H.; Shepard, Roger N. Psycholocially simple motions as geodesic paths. II: Symmetric objects. (English) Zbl 0725.92031 J. Math. Psychol. 34, No. 2, 189-228 (1990). MSC: 91E30 53A17 × Cite Format Result Cite Review PDF Full Text: DOI
Helgason, Sigurdur A centennial: Wilhelm Killing and the exceptional groups. (English) Zbl 0711.01033 Math. Intell. 12, No. 3, 54-57 (1990). Reviewer: P.Reichensperger MSC: 01A70 17B05 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Lukierski, Jerzy; Nowicki, Anatol Quaternionic supergroups and \(D=4\) Euclidean extended supersymmetries. (English) Zbl 0589.17008 Ann. Phys. 166, 164-188 (1986). Reviewer: M.Scheunert MSC: 17A70 22E99 × Cite Format Result Cite Review PDF Full Text: DOI
Morrison, David R. The Kuga-Satake variety of an abelian surface. (English) Zbl 0559.14031 J. Algebra 92, 454-476 (1985). Reviewer: T.Sekiguchi MSC: 14K30 14C30 × Cite Format Result Cite Review PDF Full Text: DOI
Ferrar, J. C. Lie algebras of type \(E_6\).II. (English) Zbl 0382.17007 J. Algebra 52, 201-209 (1978). MSC: 17B25 17B60 17C40 × Cite Format Result Cite Review PDF Full Text: DOI
Ferrar, J. C. Algebras of type \(E_7\) over number fields. (English) Zbl 0335.17008 J. Algebra 39, 15-25 (1976). MSC: 17B60 17C40 × Cite Format Result Cite Review PDF Full Text: DOI
Bacry, H.; Combe, Ph.; Sorba, P. Connected subgroups of the Poincaré group. I. (English) Zbl 0293.22034 Rep. Math. Phys. 5, 145-186 (1974). MSC: 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Cornwell, J. F. Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. III. (English) Zbl 0234.17005 Rep. Math. Phys. 3, 91-107 (1972). MSC: 17B20 17B99 × Cite Format Result Cite Review PDF Full Text: DOI
Ferrar, J. C. Lie algebras of type \(E_6\). (English) Zbl 0181.04602 J. Algebra 13, 57-72 (1969). × Cite Format Result Cite Review PDF Full Text: DOI
Ne’eman, Y.; Rosen, Joe Particle symmetries and space time curvature. (English) Zbl 0142.46601 Ann. Phys. 31, 391-409 (1965). × Cite Format Result Cite Review PDF Full Text: DOI
Freudenthal, H. Lie groups in the foundations of geometry. (English) Zbl 0125.10003 Adv. Math. 1, 145-190 (1964). × Cite Format Result Cite Review PDF Full Text: DOI
Berger, M. Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive. (French) Zbl 0101.14201 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 15, 179-246 (1961). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Berger, Marcel Les espaces symétriques non compacts. (French) Zbl 0093.35602 Ann. Sci. Éc. Norm. Supér., III. Sér. 74, 85-177 (1957). × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Berger, Marcel Sur les groupes d’holonomie homogènes de variétés à connexion affine et des variétés riemanniennes. (French) Zbl 0068.36002 Bull. Soc. Math. Fr. 83, 279-330 (1955). × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Ishihara, Shigeru Groups of isometries of pseudo-Hermitian spaces. II. (English) Zbl 0067.39702 Proc. Japan Acad. 31, 418-420 (1955). × Cite Format Result Cite Review PDF Full Text: DOI