Found 32 Documents (Results 1–32)
Harmonic maps of compact Kähler manifolds to exceptional local symmetric spaces of Hodge type and holomorphic liftings to complex homogeneous fibrations. (English) Zbl 1079.58503
Special systems of partial differential equations. (English) Zbl 1018.35016
Tsagas, Grigorios (ed.), Proceedings of the conference on geometry and its applications in technology and the workshop on global analysis, differential geometry and Lie algebras, Thessaloniki, Greece, 1999. Bucharest: Geometry Balkan Press. BSG Proc. 6, 213-219 (2001).
Reviewer: Messoud Efendiev (Berlin)
Adjoint orbit types of compact exceptional Lie group \(G_2\) in its Lie algebra. (English) Zbl 1021.22009
Reviewer: Lizhen Ji (Ann Arbor)
Cubic rings and the exceptional Jordan algebra. (English) Zbl 1028.11041
Reviewer: Kanat Abdukhalikov (Almaty)
Fixed points subgroups \(G^{\sigma,\sigma'}\) by two involutive automorphisms \(\sigma,\sigma'\) of compact exceptional Lie groups \(G=F_4,E_6\) and \(E_7\). (English) Zbl 1003.22006
Reviewer: Adrian Neagu (Timisoara)
3-graded decompositions of exceptional Lie algebras \(\mathfrak g\) and group realizations of \(\mathfrak g_{ev},\mathfrak g_0\) and \(\mathfrak g_{ed}\). I: \(G=G_2,F_4,E_6\). (English) Zbl 1042.17004
Reviewer: Gordon Brown (Boulder)
The integral cohomology ring of \(E_7/T\). (English) Zbl 1006.57013
Reviewer: Daniel Tanré (Villeneuve d’ Ascq)
MSC:
57T15
Spectroscopy of gauge theories based on exceptional Lie groups. (English) Zbl 1011.81071
Reviewer: Vladimir Balan (Bucureşti)
The tensor product of exceptional representations on the general linear group. (English) Zbl 1005.20033
Reviewer: Yasuhiro Asoo (Okayama)
Homotopy groups of the homogeneous spaces \(F_4/G_2\) and \(F_4/\text{Spin}(9)\). (English) Zbl 0998.55006
Reviewer: Daniel Tanré (Villeneuve d’ Ascq)
Projective representations for some exceptional finite groups of Lie type. (English) Zbl 1004.20004
Collins, Michael J. (ed.) et al., Modular representation theory of finite groups. Proceedings of a symposium, University of Virginia, Charlottesville, VA, USA, May 8-15, 1998. Berlin: de Gruyter. 223-230 (2001).
Reviewer: Pham Huu Tiep (Gainesville)
The Rost invariant has trivial kernel for quasi-split groups of low rank. (English) Zbl 1001.20042
Reviewer: Christopher P.Bendel (Menomonie)
Affine distance-transitive graphs and exceptional Chevalley groups. (English) Zbl 1047.20004
Reviewer: Alan R. Camina (Norwich)
Conformal and quasiconformal realizations of exceptional Lie groups. (English) Zbl 0992.22016
Reviewer: Alexander V.Gemintern (Haifa)
Exceptional group ring automorphisms for groups of order 96. (English) Zbl 0997.20004
Reviewer: Jürgen Ritter (Augsburg)
Recognizing simplicity of black-box groups and the frequency of \(p\)-singular elements in affine groups. (English) Zbl 1052.20031
Kantor, William M. (ed.) et al., Groups and computation III. Proceedings of the international conference at the Ohio State University, Columbus, OH, USA, June 15–19, 1999. Berlin: Walter de Gruyter (ISBN 3-11-016721-2/hbk). Ohio State Univ. Math. Res. Inst. Publ. 8, 39-62 (2001).
The closure diagram for nilpotent orbits of the split real form of \({E_7}\). (English) Zbl 1050.17007
Represent. Theory 5, 284-316 (2001); correction ibid. 7, 503 (2001).
Smallest degrees of representations of exceptional groups of Lie type. (English) Zbl 1004.20003
Reviewer: Pham Huu Tiep (Gainesville)
Conjugacy of \(\text{Alt}_5\) and \(\text{SL}(2,5)\) subgroups of \(E_7(\mathbb{C})\). (English) Zbl 0988.20030
Reviewer: Anatoli Kondrat’ev (Ekaterinburg)
Groups of type \(E_7\) over arbitrary fields. (English) Zbl 0988.20029
Reviewer: Alberto Elduque (Zaragoza)
On the dimension of the Jacquet module of a certain induced representation. (English) Zbl 0982.22012
Anderson, Daniel D. (ed.) et al., Ideal theoretic methods in commutative algebra. Proceedings of the conference in honor of Professor James A. Huckaba’s retirement, University of Missouri, Columbia, MO, USA. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 220, 85-88 (2001).
Reviewer: Samuel James Patterson (Göttingen)
MSC:
22E50
Generalized scalar particle quantization in \(1+1\) dimensions and \(D(2,1;\alpha)\). (English) Zbl 0979.81046
The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\). (English) Zbl 0971.81044
Homotopy groups of the homogeneous spaces \(F_4/G_2,F_4/\text{Spin}(9)\) and \(E_6/F_4\). (English) Zbl 0966.55011
Matrix generators for exceptional groups of Lie type. (English) Zbl 0987.20003
Reviewer: Ye Jiachen (Shanghai)
Embeddings of \(\text{PSL}(2,41)\) and \(\text{PSL}(2,49)\) in \(E_8(\mathbb{C})\). (English) Zbl 0971.20010
Reviewer: R.Wilson (Birmingham)
An arithmetic property of Fourier coefficients of singular modular forms on the exceptional domain. (English) Zbl 0982.11024
Reviewer: A.Krieg (Aachen)
A universal R-matrix for the quantization of the Lie superalgebra D(2,1,x) and an associated link invariant. arXiv:math/0104110
Preprint, arXiv:math/0104110 [math.QA] (2001).
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