A pr 2 01 3 On Carnot algebra with the growth vector ( 2 , 3 , 5 , 8 )

نویسنده

  • Yuri Sachkov
چکیده

We compute two vector field models of the Carnot algebra with the growth vector (2, 3, 5, 8), and an infinitesimal symmetry of the corresponding sub-Riemannian structure.

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

ar X iv : h ep - t h / 01 06 20 0 v 4 1 3 A pr 2 00 4 Cubic Interactions of Bosonic Higher Spin Gauge Fields in AdS 5

The dynamics of totally symmetric free massless higher spin fields in AdS d is reformulated in terms of the compensator formalism for AdS gravity. The AdS 5 higher spin algebra is identified with the star product algebra with the su(2, 2) vector (i.e., o(4, 2) spinor) generating elements. Cubic interactions of the totally symmetric bosonic higher spin gauge fields in AdS 5 , including the inter...

متن کامل

Sub - Riemannian geodesics on the free Carnot group with the growth vector ( 2 , 3 , 5 , 8 ) ∗

We consider the free nilpotent Lie algebra L with 2 generators, of step 4, and the corresponding connected simply connected Lie group G. We study the left-invariant sub-Riemannian structure on G defined by the generators of L as an orthonormal frame. We compute two vector field models of L by polynomial vector fields in R, and find an infinitesimal symmetry of the sub-Riemannian structure. Furt...

متن کامل

When Are There Infinitely Many Irreducible Elements in a Principal Ideal Domain?

Publications in Refereed Journals 1. I numeri di Fermat, Periodico di Matematiche, VII, 5 (1998), no. 2-3, 63–68 2. Some observations on the statistical independence and the distribution of zeros in the Selberg Class, Rend. Circ. Mat. Palermo (2), 52 (2003), no. 2, 211–223 3. Extending the idea of compressed algebra to arbitrary socle-vectors, J. Algebra 270 (2003), no. 1, 181–198 4. When are T...

متن کامل

ar X iv : q ua nt - p h / 01 01 01 5 v 2 2 1 A pr 2 00 5 Entropy and Temperature of a Quantum Carnot Engine

t is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in place of the heat bath used to run a conventional classical thermodynamic heat engine. The effect of the energy bath is to maintain the expectation value of the system Hamiltonian during an isoenergetic p...

متن کامل

ar X iv : h ep - t h / 93 04 01 2 v 1 5 A pr 1 99 3 RIMS - 918 April , 1993 General Form of Dilaton Gravity and Nonlinear Gauge Theory

We construct a gauge theory based on general nonlinear Lie algebras. The generic form of ‘dilaton’ gravity is derived from nonlinear Poincaré algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in two-dimensional gravitation theory.

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 2013