On FRT{Cli ord Algebras

نویسنده

  • I. Heckenberger
چکیده

We study the q-Cli ord algebras Clq2(N; c ), called FRT{Cli ord algebras, introduced by Faddeev, Reshetikhin and Takhtajan. It is shown that Clq2(N; c ) acts on the q-exterior algebra (O q2 ). Moreover, explicit formulas for the embedding of Uq2(soN ) into Clq2(N; c ) and its relation to the vector and spin representations of Uq2(soN ) are given and proved. MSC 2000: 81R50, 15A66

برای دانلود 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

Cli ord geometric parameterization of inequivalent vacua

We propose a geometric method to parameterize inequivalent vacua. Introducing Cli ord algebras with arbitrary bilinear forms we distinguish isomorphic algebras {as Cli ord algebras{ by di erent ltrations resp. induced gradings. The idea of a vacuum is introduced as the unique algebraic projection on the base eld embedded in the Cli ord algebra. The parameterization of inequivalent vacua takes p...

متن کامل

Vector eld computations in Cli ord's geometric algebra

Exactly 125 years ago G. Peano introduced the modern concept of vectors in his 1888 book "Geometric Calculus According to the Ausdehnungslehre (Theory of Extension) of H. Grassmann". Unknown to Peano, the young British mathematician W. K. Cli ord (1846-1879) in his 1878 work "Applications of Grassmann's Extensive Algebra" had already 10 years earlier perfected Grassmann's algebra to the modern ...

متن کامل

An Example of Clifford Algebras Calculations with GiNaC

This is an example of C++ code of Cli ord algebra calculations with the GiNaC computer algebra system. This code makes both symbolic and numeric computations. It was used to produce illustrations for paper [14, 12]. Described features of GiNaC are already available at PyGiNaC [3] and due to course should propagate into other software like GNU Octave [7] and gTybalt [18] which use GiNaC library ...

متن کامل

Clifford Modules and Invariants of Quadratic Forms

We construct new invariants of quadratic forms over commutative rings, using ideas from Topology. More precisely, we de…ne a hermitian analog of the Bott class with target algebraic K-theory, based on the classi…cation of Cli¤ord modules. These invariants of quadratic forms go beyond the classical invariants de…ned via the Cli¤ord algebra. An appendix by J.-P. Serre, of independent interest, de...

متن کامل

Synchronization - The Font of Physical Structure

The computational operation called synchronization, vital for realizing multi-process systems, is described in terms of geometric (Cli ord) algebras over {-1,0,1}. This provides a two-way bridge between the worlds of computation and quantum mechanics, and casts new light on such matters as quantum non-determinism, mechanism and causality, the explicit structure of particles (including dark matt...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001