Several Dirac operators in Parabolic Geometry

نویسنده

  • Peter Franek
چکیده

Acknowledgement: I thank to my supervisor Vladimír Souček for directing my study and research. Further, I thank to Svatopluk Kr´ysl for his permanent help.

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

Generalized Verma Module Homomorphisms in Singular Character

In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the k-th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac...

متن کامل

Generalized Dolbeault Sequences in Parabolic Geometry

In this paper, we show the existence of a sequence of invariant differential operators on a particular homogeneous model G/P of a Cartan geometry. The first operator in this sequence can be locally identified with the Dirac operator in k Clifford variables, D = (D1, . . . , Dk), where Di = P j ej · ∂ij : C ((R), S) → C((R), S). We describe the structure of these sequences in case the dimension ...

متن کامل

Submanifold Differential Operators in D-Module Theory I: Schrödinger Operators

For this quarter of century, quantum differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space E n have been studied as physical models, which are realized as restriction of the operators in E n to the submanifold. For this decade, I have been investigating the Dirac operators in the submanifold, which are identified with operators of t...

متن کامل

Submanifold Differential Operators in D-Module Theory I: Schrödinger Operators

For this quarter of century, quantum differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space E n have been studied as physical models, which are realized as restriction of the operators in E n to the submanifold. For this decade, the Dirac operators in the submanifold have been investigated, which are identified with operators of the ...

متن کامل

Submanifold Differential Operators in D-Module Theory I: Schrödinger Operators

For this quarter of century, differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space E n have been studied as quantum mechanical models, which are realized as restriction of the operators in E n to the submanifold. For this decade, the Dirac operators in the submanifold have been investigated in such a scheme , which are identified wi...

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 2008