Regularization of birational actions of FW groups

Regularization of birational group operations in sense of Weil

The present paper deals with the classical results of A. Weil [11] on regularization of pre-groups and pre-transformation spaces (see Definitions 3.1 and 4.1). As pointed out in [4], those purely algebraic results appear to be very useful in the following complex analytic setting. Let D ⊂ C be a bounded domain and Aut(D) the group of all holomorphic automorphisms of D . By a theorem of H. Carta...

On Certain Groups of Birational Contact Transformations*

commuting and non -commuting graphs of finit groups

فرض کنیمg یک گروه غیر آبلی متناهی باشد . گراف جابجایی g که با نماد نمایش داده می شود ،گرافی است ساده با مجموعه رئوس که در آن دو راس با یک یال به هم وصل می شوند اگر و تنها اگر . مکمل گراف جابجایی g راگراف نا جابجایی g می نامیم.و با نماد نشان می دهیم. گرافهای جابجایی و ناجابجایی یک گروه متناهی ،اولین بار توسطاردوش1 مطرح گردید ،ولی در سالهای اخیر به طور مفصل در مورد بحث و بررسی قرار گرفتند . در ،م...

Birational Splitting and Algebraic Group Actions

According to the classical theorem, every algebraic variety endowed with a nontrivial rational action of a connected linear algebraic group is birationally isomorphic to a product of another algebraic variety and Ps with positive s. We show that the classical proof of this theorem actually works only in characteristic 0 and we give a characteristic free proof of it. To this end we prove and use...

Robinson - Schensted - Knuth correspondence and birational Weyl group actions

It can be applied consistently to an arbitrary rational function expressed as a ratio of two polynomials with positive real coefficients, in order to produce a combination of +, − and max (or min), representing a piecewise linear function. In combinatorics, this procedure has been employed for the algebraization of combinatorial algorithms. A large class of combinatorial algorithms can be descr...