A New Differential Calculus on Noncommutative Spaces

نویسندگان

  • A. K. Mishra
  • G. Rajasekaran
چکیده

We develop a GL qp (2) invariant differential calculus on a two-dimensional noncommutative quantum space. Here the coordinate space for the exterior quantum plane is spanned by the differentials that are commutative (bosonic) in nature.

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

New Approach to Hermitian q–Differential Operators on Rq

We report on our recent breakthrough [9] in the costruction for q > 0 of Hermitean and “tractable” differential operators out of the Uqso(N)covariant differential calculus on the noncommutative manifolds Rq (the socalled “quantum Euclidean spaces”).

متن کامل

O ct 2 00 4 New approach to Hermitian q - differential operators on R Nq Gaetano Fiore

We report on our recent breakthrough [9] in the costruction for q > 0 of Hermitean and “tractable” differential operators out of the Uqso(N)covariant differential calculus on the noncommutative manifolds Rq (the socalled “quantum Euclidean spaces”).

متن کامل

Generalized κ-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space

We describe the generalized κ-deformations ofD = 4 relativistic symmetries with finite masslike deformation parameter κ and an arbitrary direction in κ-deformed Minkowski space being noncommutative. The corresponding bicovariant differential calculi on κdeformed Minkowski spaces are considered. Two distinguished cases are discussed: 5D noncommutative differential calculus (κ-deformation in time...

متن کامل

Differential calculi on noncommutative bundles

We introduce a category of noncommutative bundles. To establish geometry in this category we construct suitable noncommutative differential calculi on these bundles and study their basic properties. Furthermore we define the notion of a connection with respect to a differential calculus and consider questions of existence and uniqueness. At the end these constructions are applied to basic examp...

متن کامل

FUNCTIONAL CALCULUS AND SQUARE FUNCTIONS ON NONCOMMUTATIVE L p - SPACES

In this work we investigate semigroups of operators acting on noncommutative L-spaces. We introduce noncommutative square functions and their connection to sectoriality, variants of Rademacher sectoriality, and H∞ functional calculus. We discuss several examples of noncommutative diffusion semigroups. This includes Schur multipliers, q-Ornstein-Uhlenbeck semigroups, and the noncommutative Poiss...

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 1999