Vector Algebra
Mostrando 13-22 de 22 artigos, teses e dissertações.
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13. Vector algebra in the analysis of genome-wide expression data
BioMed Central.
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14. Gordan—Capelli series in superalgebras
We derive two Gordan—Capelli series for the supersymmetric algebra of the tensor product of two [unk]2-graded [unk]-vector spaces U and V, being [unk] a field of characteristic zero. These expansions yield complete decompositions of the supersymmetric algebra regarded as a pl(U)- and a pl(V)- module, where pl(U) and pl(V) are the general linear Lie superal
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15. Capelli bitableaux and Z-forms of general linear Lie superalgebras.
The combinatorics of the enveloping algebra UQ(pl(L)) of the general linear Lie superalgebra of a finite dimensional Z2-graded Q-vector space is studied. Three non-equivalent Z-forms of UQ(pl(L)) are introduced: one of these Z-forms is a version of the Kostant Z-form and the others are Lie algebra analogs of Rota and Stein's straightening formulae for the su
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16. Lie algebras and classical partition identities
In this paper we interpret Macdonald's unspecialized identities as multivariable vector partition theorems and we relate the well-known Rogers—Ramanujan partition identities to the Weyl—Kac character formula for an infinite-dimensional Euclidean generalized Cartan matrix Lie algebra.
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17. Supersymmetric Hilbert space.
A generalization is given of the notion of a symmetric bilinear form over a vector space, which includes variables of positive and negative signature ("supersymmetric variables"). It is shown that this structure is substantially isomorphic to the exterior algebra of a vector space. A supersymmetric extension of the second fundamental theorem of invariant the
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18. Capelli's theory, Koszul maps, and superalgebras.
The straightening laws for the enveloping algebra Ukappa(pl(L)) of the general linear Lie superalgebra of a finite dimensional Z2-graded vector space are investigated. An isomorphism Psi from the supersymmetric algebra Super[L L] of pl(L) to Ukappa(pl(L)) is introduced; the isomorphism Psi maps each bitableau of Super[L L] to the Young-Capelli bitableau of U
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19. Infinite flag varieties and conjugacy theorems
We study the orbit of a highest-weight vector in an integrable highest-weight module of the group G associated to a Kac-Moody algebra [unk](A). We obtain applications to the geometric structure of the associated flag varieties and to the algebraic structure of [unk](A). In particular, we prove conjugacy theorems for Cartan and Borel subalgebras of [unk](A),
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20. Protein structural analysis from solid-state NMR-derived orientational constraints.
High-resolution orientational constraints from solid-state NMR spectroscopy of uniformly aligned biological macromolecules provide a great structural analysis problem. Several approaches to this problem have been made in the past. Here a vector algebra method is developed that provides analytical solutions for the torsion angles and a concise and simple view
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21. Young—Capelli symmetrizers in superalgebras†
Let Supern[U [unk] V] be the nth homogeneous subspace of the supersymmetric algebra of U [unk] V, where U and V are Z2-graded vector spaces over a field K of characteristic zero. The actions of the general linear Lie superalgebras pl(U) and pl(V) span two finite-dimensional K-subalgebras B and [unk] of EndK(Supern[U [unk] V]) that are the centralizers of eac
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22. Automated projection spectroscopy (APSY)
This work presents the automated projection spectroscopy (APSY) method for the recording of discrete sets of j projections from N-dimensional (N ≥ 3) NMR experiments at operator-selected projection angles and automatic identification of the correlation cross peaks. The result from APSY is the fully automated generation of the complete or nearly complete pe
National Academy of Sciences.