Found 1,227 Documents (Results 1–100)
A cubic pure half-spinor approach to high performance photon-counting computerized X-ray tomography – transcendence of the Brauer mirror symmetry functor –. (English) Zbl 07930078
Young wall models for the level 1 highest weight and Fock space crystals of \(U_q (E_6^{(2)})\) and \(U_q (F_4^{(1)})\). (English) Zbl 07930037
The Morrison-Kawamata cone conjecture for singular symplectic varieties. (English) Zbl 07918124
Reviewer: Piotr Pokora (Kraków)
Dihedral long root A-packets of \(p\)-adic \(G_2\) via theta correspondence. (English) Zbl 07915898
Reviewer: Ivan Matić (Osijek)
The quasiprimitive almost elusive groups. (English) Zbl 07902405
Reviewer: Enrico Jabara (Venezia)
The compact exceptional Lie algebra \(\mathfrak{g}^c_2\) as a twisted ring group. (English) Zbl 07892853
Block-transitive \(3\)-\((v, k, 1)\) designs on exceptional groups of Lie type. (English) Zbl 07879475
Groups of type \(\operatorname{E}_6\) and \(\operatorname{E}_7\) over rings via Brown algebras and related torsors. (English) Zbl 07877986
Young wall construction of level-1 highest weight crystals over \(U_q (D_4^{(3)})\) and \(U_q (G_2^{(1)})\). (English) Zbl 07874672
Quantum diagrammatics for \(F_4\). (English) Zbl 07873756
Reviewer: Mohamed Elhamdadi (Tampa)
Octonions, Albert vectors and the group \( \mathrm{E}_6(F)\). (English) Zbl 07870873
Reviewer: Evgenii L. Bashkirov (Minsk)
MSC:
20H20
Maximal subgroups of exceptional groups and Quillen’s dimension. (English) Zbl 1542.20098
Reviewer: Egle Bettio (Venezia)
On the generating rank and embedding rank of the hexagonic Lie incidence geometries. (English) Zbl 07857935
Octonionic magical supergravity, niemeier lattices, and exceptional & Hilbert modular forms. (English) Zbl 07856779
Similitude exceptional theta correspondences. (English) Zbl 07830474
Reviewer: Ivan Matić (Osijek)
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits. (English) Zbl 07826264
Reviewer: Serhii D. Koval (St. John’s)
Gauge coupling unification in the flipped \(E_8\) gut. (English. Russian original) Zbl 1533.81090
Theor. Math. Phys. 218, No. 2, 295-335 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 341-388 (2024).
Recognizing the \(\mathsf{G}_2\)-horospherical manifold of Picard number 1 by varieties of minimal rational tangents. (English) Zbl 1532.14086
Reviewer: Matilde Maccan (Rennes)
Harmonic analysis on line bundles over the exceptional domain \(E_{7(-25)}/U(1)E_6\). (English) Zbl 1533.43011
Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model. (English) Zbl 1539.81076
The spectra of almost simple groups with socle \(E_7(q)\). (English) Zbl 1531.20017
Reviewer: Enrico Jabara (Venezia)
An exceptional set estimate for restricted projections to lines in \(\mathbb{R}^3\). (English) Zbl 1528.28019
Semiholonomic jets and induced modules in Cartan geometry calculus. arXiv:2409.01844
Preprint, arXiv:2409.01844 [math.DG] (2024).
Projection of root systems and the generalized injectivity conjecture for exceptional groups. arXiv:2407.18817
Preprint, arXiv:2407.18817 [math.RT] (2024).
\(5 \times 5\)-graded Lie algebras, cubic norm structures and quadrangular algebras. arXiv:2407.10672
Preprint, arXiv:2407.10672 [math.RA] (2024).
Level one automorphic representations of an anisotropic exceptional group over \(\mathbb{Q}\) of type \(\mathrm{F}_{4}\). arXiv:2407.05859
Preprint, arXiv:2407.05859 [math.NT] (2024).
Solutions to the exercises from the book ”Albert algebras over commutative rings”. arXiv:2406.02933
Preprint, arXiv:2406.02933 [math.RA] (2024).
Dirac inequality for highest weight Harish-Chandra modules. II. (English) Zbl 1536.22031
Reviewer: Zhangqiang Bai (Suzhou)
Toward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rank. (English. Russian original) Zbl 1537.20037
Algebra Logic 62, No. 1, 1-21 (2023); translation from Algebra Logika 62, No. 1, 3-32 (2023).
Reviewer: Egle Bettio (Venezia)
Exceptional poles of local spinor \(L\)-functions of \(\mathrm{GSp}(4)\) with anisotropic Bessel models. (English) Zbl 07785051
A “magic” approach to octonionic Rosenfeld spaces. (English) Zbl 07778506
Reviewer: Do Ngoc Diep (Hà Nội)
On automorphic descent from \(\mathrm{GL}_7\) to \(G_2\). (English) Zbl 07774911
Reviewer: Ivan Matić (Osijek)
On the generalised Springer correspondence for groups of type \(E_8\). (English) Zbl 1528.20014
Reviewer: Enrico Jabara (Venezia)
The classical Tits quadrangles. (Les quadrangles de Tits classiques.) (English. French summary) Zbl 1527.20042
Reviewer: Egle Bettio (Venezia)
Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\). (English) Zbl 1524.19001
Reviewer: Wilberd van der Kallen (Utrecht)
The exceptional simple Lie group \(F_{4(-20)}\), after J. Tits. (English) Zbl 1540.22014
Reviewer: Günter F. Steinke (Christchurch)
Centralisers, complex reflection groups and actions in the Weyl group \(E_6\). (English) Zbl 1527.20081
Reviewer: V. V. Gorbatsevich (Moskva)
Absence of principal eigenvalues for higher rank locally symmetric spaces. (English) Zbl 1536.58021
Reviewer: Emilio A. Lauret (Bahía Blanca)
The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups. (English) Zbl 1523.20051
Reviewer: Enrico Jabara (Venezia)
A superunitary Fock model of the exceptional Lie supergroup \(\mathbb{D}(2, 1; \alpha)\). (English) Zbl 07746821
Reviewer: Alexander Isaakovich Shtern (Moskva)
On the existence of hereditarily \(G \)-permutable subgroups in exceptional groups \(G\) of Lie type. (English. Russian original) Zbl 1523.20031
Sib. Math. J. 64, No. 5, 1110-1116 (2023); translation from Sib. Mat. Zh. 64, No. 5, 935-945 (2023).
Reviewer: Enrico Jabara (Venezia)
Hermitian matrices over \(K\)-octonions and their diagonalizations. (English) Zbl 1525.15023
Reviewer: Roksana Słowik (Gliwice)
On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type. (English) Zbl 1528.20027
Reviewer: Yangming Li (Guangzhou)
Diagrammatics for \(F_4\). (English) Zbl 1519.18010
On medium-rank Lie primitive and maximal subgroups of exceptional groups of Lie type. (English) Zbl 1522.20001
Memoirs of the American Mathematical Society 1434. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6702-9/pbk; 978-1-4704-7576-5/ebook). v, 213 p. (2023).
Reviewer: Egle Bettio (Venezia)
Lie algebra \(\mathfrak{e}_{7\frac{1}{2}}\) and Dynkin index. (English) Zbl 1532.17009
Reviewer: Candido Martín González (Málaga)
Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras. (English) Zbl 1541.17014
Reviewer: Sven Möller (Piscataway)
A local Langlands parameterization for generic supercuspidal representations of \(p\)-adic \(G_2\). (English. French summary) Zbl 1528.11120
Reviewer: Moshe Adrian (New York)
Higher level cusp forms on exceptional group of type \(E_7\). (English) Zbl 1531.11048
Reviewer: Wen-Wei Li (Beijing)
On some codes from rank 3 primitive actions of the simple Chevalley group \(G_2(q) \). (English) Zbl 1521.94085
Towards Landau-Ginzburg models for cominuscule spaces via the exceptional cominuscule family. (English) Zbl 1527.14086
Hodge operators and exceptional isomorphisms between unitary groups. (English) Zbl 1522.20193
Reviewer: Wilberd van der Kallen (Utrecht)
Polyhedral groups in \(G_2(\mathbb{C})\). (English) Zbl 1516.20022
Reviewer: Kıvanç Ersoy (Berlin)
Enhanced Dynkin diagrams done right. (English) Zbl 1519.17014
J. Math. Sci., New York 272, No. 3, 349-361 (2023); and Zap. Nauchn. Semin. POMI 500, 11-29 (2021).
Reviewer: Enrico Jabara (Venezia)
Local exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristic. (English) Zbl 07688743
Reviewer: David Schwein (Bonn)
Horospherical two-orbit varieties as zero loci. (English) Zbl 1516.14079
Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale)
Left-right symmetric fermions and sterile neutrinos from complex split biquaternions and bioctonions. (English) Zbl 1515.15026
The missing label of \(\mathfrak{su}_3\) and its symmetry. (English) Zbl 1532.17006
Reviewer: Rutwig Campoamor Stursberg (Madrid)
Albert algebras over \(\mathbb{Z}\) and other rings. (English) Zbl 1527.17017
Reviewer: Plamen Koshlukov (Campinas)
Derived categories of the Cayley plane and the coadjoint Grassmannian of type F. (English) Zbl 1517.14031
Reviewer: Anton Fonarev (Moskva)
Howe duality and dichotomy for exceptional theta correspondences. (English) Zbl 1516.11050
Reviewer: Ivan Matić (Osijek)
The size of a stratifying system can be arbitrarily large. (English) Zbl 1520.16004
Reviewer: Qin Yongyun (Yunnan)
Extensible endomorphisms of compact groups. arXiv:2309.12791
Preprint, arXiv:2309.12791 [math.GR] (2023).
Borel-de Siebenthal Positive Root Systems. arXiv:2309.11099
Preprint, arXiv:2309.11099 [math.RT] (2023).
The values of unipotent characters at unipotent elements for groups of type \(E_8\) and \({^2\!E}_6\). arXiv:2309.09915
Preprint, arXiv:2309.09915 [math.RT] (2023).
Galois representations with large image in global Langlands correspondence. arXiv:2306.02493
Preprint, arXiv:2306.02493 [math.NT] (2023).
Complete reducibility in bad characteristic. arXiv:2304.08388
Preprint, arXiv:2304.08388 [math.GR] (2023).
\({\rm Spin}(7)\) is unacceptable. arXiv:2303.15897
Preprint, arXiv:2303.15897 [math.NT] (2023).
Conjugation matters. bioctonionic Veronese vectors and Cayley-Rosenfeld planes. (English) Zbl 07850457
Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\). (English) Zbl 1523.17063
Mladenov, Ivaïlo M. (ed.), Geometry, integrability and quantization. Volume 23. Sofia: Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy. Geom. Integrability Quantization 23, 39-57 (2022).
Reviewer: Theo Grundhöfer (Würzburg)
A criterion for nonsolvability of a finite group and recognition of direct squares of simple groups. (English. Russian original) Zbl 1522.20090
Algebra Logic 61, No. 4, 288-300 (2022); translation from Algebra Logika 61, No. 4, 424-442 (2022).
Reviewer: Enrico Jabara (Venezia)
Automorphisms and opposition in spherical buildings of exceptional type. I. (English) Zbl 1510.20031
Reviewer: Theo Grundhöfer (Würzburg)
Maximal antipodal sets of \(E_6\) and some compact symmetric spaces. (English) Zbl 1509.53065
Reviewer: Patrice Sawyer (Sudbury)
Overgroups of subsystem subgroups in exceptional groups: nonideal levels. (English. Russian original) Zbl 07618890
St. Petersbg. Math. J. 33, No. 6, 897-925 (2022); translation from Algebra Anal. 33, No. 6, 9-48 (2021).
MSC:
20G15
Maximal connected \(k\)-subgroups of maximal rank in connected reductive algebraic \(k\)-groups. (English) Zbl 1511.20191
Reviewer: Cameron Ruether (Ottawa)
Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators. (English) Zbl 1522.81131
MSC:
81R12
Realizations of inner automorphisms of order four and fixed points subgroups by them on the connected compact exceptional Lie group \(E_8\). III. (English) Zbl 1503.53109
Tsukuba J. Math. 46, No. 1, 39-65 (2022); corrigendum ibid. 47, No. 1, 125 (2023).
On the cohomology of the Ree groups and kernels of exceptional isogenies. (English) Zbl 1501.20005
Reviewer: Wilberd van der Kallen (Utrecht)
Maximal \(\mathrm{PSL}_2\) subgroups of exceptional groups of Lie type. (English) Zbl 1525.20014
Memoirs of the American Mathematical Society 1355. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5119-6/pbk; 978-1-4704-7021-0/ebook). v, 155 p. (2022).
Reviewer: Nick Gill (Milton Keynes)
Tits polygons. With an appendix by Holger P. Petersson. (English) Zbl 1498.51001
Memoirs of the American Mathematical Society 1352. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5101-1/pbk; 978-1-4704-7018-0/ebook). xi, 114 p. (2022).
Reviewer: Hendrik Van Maldeghem (Gent)
\(\mathbb{A}^1\)-invariance of non-stable \(K_1\)-functors in the equicharacteristic case. (English) Zbl 1479.14061
Quadratic forms on the 27-dimensional modules for \(E_6\) in characteristic two. (English) Zbl 1486.17007
A new maximal subgroup of \(E_8\) in characteristic \(3\). (English) Zbl 1511.20199
Reviewer: Michael Bate (York)
Arthur packets for \(G_2\) and perverse sheaves on cubics. (English) Zbl 1496.11075
Reviewer: Yuanqing Cai (Kanazawa)
MSC:
11F70
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