Multivariate polynomials, standard tableaux, and representations of symmetric groups - Clausen - 1991 () Citation Context ...the need for preorders. (See also [10, Rmk. 2.3(i)], [20, Sec. 5] for earlier constru
These tools are then applied to the representation theory of symmetric groups. In particular, we present an algorithm which efficiently computes for every skew module of a symmetric group an R-basis which is adapted to a Specht series. This result is a constructive, characteristic-free analogue ...
shell construction of the Standard Model, through the consistency of its S-matrix elements, under the following assumptions: • The scattering amplitudes are invariant under Poincaré transformations but trans- form under some representation of the Little Group specified by their particle con- tent. ...
[12] as follows Definition 1 A chiral IRAFFS is a set of left-handed anti-symmetric fermions of R mR FL(R), with mR being the multiplicities of a particular fermion representation of R. Obviously, the anomaly-free condition reads R mR Anom(FL(R)) = 0. We also require the following...
For convenience, the natural logarithmic function in this equation is transformed to the logarithmic function of base 10, which yields [7.24]E−E0−2.303RTnFlogCcDdAaBb Equation [7.24] can be applied to determine the electrode potential at non-standard conditions. This representation of Nernst’...
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"It turns out that one can get a representation of the category of tangles from any finite-dimensional representation of a semisimple Lie group." with papers referenced. Does this mean we could start with our favorite semisimple Lie group, SU(3)xSU(2)xU(1), in a chosen representati...
Our work on Dixon-Rosenfeld lines defines three homogeneous spaces that locally embed a representation of to encode one generation of fermions in the Standard Model. Section 2 shows that three coset manifolds of real dimension 64 are possible, giving three non-simple Lie algebras as isometry group...
{f}\)denote the flavor indices and\(i,j=1,...,N_\textrm{c}\)the fundamental color indices. The covariant derivative\(D^\mu _{ij}\)in the fundamental representation of the group SU(\(N_\textrm{c}\)) couples quarks to the non-Abelian gauge bosons\((A^\mu )_{ij}\)and is ...