ar X iv : m at h / 05 01 55 7 v 1 [ m at h . D G ] 3 1 Ja n 20 05 Metric and Gauge Extensors

نویسندگان

  • A. M. Moya
  • V. V. Fernández
چکیده

In this paper, the second in a series of three we continue our development of the basic tools of the multivector and extensor calculus. We introduce metric and gauge extensors, orthogonal metric extensor, gauge bases tetrad bases and prove the remarkable golden formula, which permit us to view any Clifford algebra Cℓ(V, G) as a deformation of the euclidean Clifford algebra Cℓ(V, G E) discussed in the first paper of the series and to easily perform calculations in Cℓ(V, G) using Cℓ(V, G E).

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - p h / 05 01 25 4 v 1 2 7 Ja n 20 05 UT - 05 - 01 Strongly Coupled Gauge Mediation

A model of gauge mediation with m 3/2 ≃ O(1) eV is considered to motivate 100 TeV colliders. Massive mediators with standard-model and supersymmetry-breaking gauge quantum numbers let low-scale dynamics induce sizable soft masses of the standard-model superpartners. We circumvent potential phenomenological difficulties that such low-scale models tend to cause.

متن کامل

ar X iv : m at h / 05 01 55 6 v 1 [ m at h . D G ] 3 1 Ja n 20 05 Geometric Algebras

This is the first paper in a series of three where we develope a systematic approach to the geometric algebras of multivectors and ex-tensors. The series is followed by another one where those algebraic concepts are used in a novel presentation of the differential geometry of (smooth) manifolds of arbitrary global topology. The key calcu-lational tool in our program is the euclidean geometrical...

متن کامل

ar X iv : m at h / 05 01 25 7 v 1 [ m at h . C A ] 1 7 Ja n 20 05 FACTORIZATION OF SYMMETRIC POLYNOMIALS

We construct linear operators factorizing the three bases of symmetric polynomials: monomial symmetric functions mλ(x), elementary symmetric polynomials Eλ(x), and Schur functions sλ(x), into products of univariate polynomials.

متن کامل

ar X iv : m at h / 05 01 45 4 v 1 [ m at h . A G ] 2 5 Ja n 20 05 HIGHER NOETHER - LEFSCHETZ LOCI OF ELLIPTIC SURFACES

We calculate the dimension of the locus of elliptic surfaces over P 1 with a section and a given Picard number, in the corresponding moduli space.

متن کامل

ar X iv : m at h / 05 01 16 3 v 1 [ m at h . C A ] 1 1 Ja n 20 05 GENERALIZATIONS OF GONÇALVES ’ INEQUALITY

Let F (z) = N n=0 anz n be a polynomial with complex coefficients and roots α 1 ,. .. , α N , let F p denote its Lp norm over the unit circle, and let F 0 denote Mahler's measure of F. Gonçalves' inequality asserts that

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008