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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
For example, if our groupG isSn, these objects are field extensions; ifG=On, they are quadratic forms; ifG=PGLn, they are division algebras (all of degreen); ifG=G2, they are octonion algebras; ifG=F4, they are exceptional Jordan algebras.
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LetG=GL(m, D) whereD is a central division algebra over a commutative nonarchimedean local fieldF.
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We use invariant theory to compute the exact number of nonzero idempotents of an arbitrary 2-dimensional real division algebra.
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We show that the absolute invariants (i.e.,the ${\mbox{\rm GL}}(2, {\mbox{\bf R}})$-invariants in the field of fractions of ${\mathcal P}$) distinguish the isomorphism classes of 2-dimensional non-associative real division algebras.
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We show that the (open) set $\Omega^+\subset{\mathcal A}$ of all division algebra structures on $A$ has four connected components.
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Splitting fields for extended complex reflection groups and Hecke algebras
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Finite complex reflection groups have the remarkable property that the character field k of their reflection representation is a splitting field, that is, every irreducible complex representation can be realized over k.
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As a continuation of part I of the paper under the same title, we develop general monotonic enclosure methods for the couple systems of the splitting equations
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A splitting iteration method is proposed to compute symmetry-breaking Takens-Bogdanov points.
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Numerical computation shows the effectiveness of splitting iteration method.
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We study the space of biinvariants and zonal spherical functions associated to quantum symmetric pairs in the maximally split case.
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In case p >amp;gt; 0, assume G is defined and split over the finite field of p elements Fp.
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For a split reductive algebraic group, this paper observes a homological interpretation for Weyl module multiplicities in Jantzen's sum formula.
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Study on characteristics of bias caused by FI-CE split flow electrokinetic injection
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Among the three oxidation peaks, peak I was presumed to be due to the bridged CO absorption while peaks II and III were attributed to the split in the linear CO which is absorbed on the Pt-CNTs/GC nanocluster with different particle size and Pt film.
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After digesting amplification products by BstEII and HaeIII, patterns of enzyme cleavage products were detected by both CE-LIFD and agarose gel electrophoresis (AGE), respectively.
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Phthalides have primarily undergone two ESI CID pathways: side-chain cleavage with losses of alkenes and ring-opening with eliminations of H2O followed by losses of CO.
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Also, shear fracture has more characteristics of cleavage fracture.
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The transformation process of the CPs was shown to be dechlorination first, then cleavage of the benzene ring.
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At higher temperatures, dechlorination occurred prior to benzene ring cleavage.
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