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COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
Published 2019-01-01“…We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.…”
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Are textbooks enough? Alternative ways of teaching English to adult and adolescent groups of English learners
Published 2021-08-01“…Adults as well as adolescents create exceptional groups of English language learners with their specific expectations. …”
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Towards classification of 5d SCFTs: Single gauge node
Published 2023-05-01“…We also classify the allowed matter content for all exceptional groups.…”
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Construction of grand unified models under maximal subalgebras
Published 1984“…A construction of grand unified models of the strong, weak and electromagnetic interactions is described based on the transformation properties of the group generators under a maximal subgroup decomposition without recourse to large representation matrices or to the specific algebraic structures of some classical Lie-groups, such as the Clifford algebra associated with the orthogonal groups or the octonionic structure of the exceptional groups. To illustrate the procedure an explicit construction is given of the SU(5) model useful in the discussion of higher rank groups, of SO(10) under the maximal subalgebras SU(2)L × SU(2)R × SU(4)c and SU(5) × U(1)r and of the exceptional group E6 under SU(3)L × SU(3)R × SU(3)c and SO(10) × U(1)t. …”
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Elliptic Weyl Group Elements and Unipotent Isometries with P = 2
Published 2015“…Previously, the analogous result was known in odd characteristic and for exceptional groups in any characteristic.…”
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CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR $n$ -BODY CHOREOGRAPHIES
Published 2013-01-01“…These symmetry groups fall into two infinite families and, if $n$ is odd, three exceptional groups. In the second part, we develop the equivariant fundamental group and use it to determine the topology of the space of loops with a given symmetry, which we show is related to certain cosets of the pure braid group in the full braid group, and to centralizers of elements of the corresponding coset. …”
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A quantum Witt construction
Published 1998“…This construction generalises a standard construction of quantum groups, and also supergroups, but it also provides alternative constructions for some quantum groups, including the quantum exceptional group <em>e</em><sub>8</sub>. © 1998 Academic Press.…”
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Effect of injection of different doses of isoproterenol on the hearts of mice
Published 2022-09-01“…Except group S, myofibrolysis were found in the hearts of mice in other groups. …”
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On Severi varieties as intersections of a minimum number of quadrics
Published 2022-08-01“…In particular, over the real numbers we show that the Cartan variety (related to the exceptional group $\mathsf{E_6}(\R)$) is the set-theoretic intersection of 15 quadrics.…”
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Photodegradation and photocatalysis of per- and polyfluoroalkyl substances (PFAS): A review of recent progress
Published 2024-01-01“…Per- and polyfluoroalkyl substances (PFAS) are oxidatively recalcitrant organic synthetic compounds. PFAS are an exceptional group of chemicals that have significant physical characteristics due to the presence of the most electronegative element (i.e., fluorine). …”
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Evaluation of renal cold ischemia–reperfusion injury with intravoxel incoherent motion diffusion-weighted imaging and blood oxygenation level-dependent MRI in a rat model
Published 2023-05-01“…The D and T2* values of cortex and OSOM in Group T0 and T2 returned to the baseline level (all p > 0.05) except Group T4. The D* and PF values of cortex, OSOM and ISOM in Group T2 and T4 still remained below the normal levels (all p < 0.05) except Group T0. …”
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SIMPLE GROUPS STABILIZING POLYNOMIALS
Published 2015-06-01“…When $f$ is invariant under a simple algebraic group $G$ acting irreducibly on $V$, we note that the subgroup of $\text{GL}(V)$ stabilizing $f$ often has identity component $G$, and we give applications realizing various groups, including the largest exceptional group $E_{8}$, as automorphism groups of polynomials and algebras. …”
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Evaluation of the biocompatibility of various self-adhesive resin cements on subcutaneous connective tissue: An in vivo study
Published 2023-08-01“…The thicknesses of the fibrous capsule decreased significantly with time in all groups except Group P. Conclusion: Biocompatibility of self-adhesive resin cements was material-dependent. …”
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Open F-branes
Published 2022-04-01“…F-theory manifests the exceptional-group U-duality symmetry, with all massless bosonic fields in a single gauge coset. …”
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STUDI POLA PANGAN HARAPAN DAN KETAHANAN PANGAN RUMAH TANGGA TANI DI DAERAH RAWAN PANGAN KABUPATEN BANTUL
Published 2014“…The result are (1) the level of food security on farm household in food insecure area of Bantul District is less food (2) the score of Desirable Dietary Pattern are 57,03, the category of the score is less except group of paddies and nuts (3) factor that positively influencing score of Desirable Dietary Pattern is income per capita, and factors that negatively influencing score of Desirable Dietary Pattern are the price of corn, the price of chicken meat, and the share of food expenditure, (4) the score of Desirable Dietary Pattern have a positive correlation with food security.…”
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Shear bond strengths of buccal tubes
Published 2010“…The bond strengths of the buccal tubes, except Groups A and B, were significantly different (p < 0.05). …”
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Assessing what is cultural about Asian Americans' academic advantage
Published 2014“…This standstill has consequences: The lack of a strong social science voice in the debate has lead pundits to liberally evoke culture to explain poor or exceptional group outcomes (5, 6); the simplistic framing of group culture has fanned fury, pitted groups against each other, and led Civil Rights activists to advocate for group interests to promote a political agenda. …”
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EVALUATION OF ANTHELMINTIC, HEMATOLOGICAL, AND SERUM BIOCHEMICAL EFFECTS OF HERBAL DEWORMER ON THE CATTLE
Published 2023-01-01“…Animals were divided into 4 groups A, B, C and D, all the groups, except group D were given herbal dewormer powder. In an experiment of 30 days, doses were given on a weekly basis. …”
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