کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493237 | 1334228 | 2005 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras](/preview/png/9493237.png)
چکیده انگلیسی
The main results are the following: (1) We show that the subalgebra of constants of a factor algebra can be lifted to the subalgebra of constants. (2) For all varieties of associative algebras which are not nilpotent in Lie sense the subalgebras of constants of the relatively free algebras of rank ⩾2 are not finitely generated. (3) We describe the generators of the subalgebra of constants for all factor algebras Kãx,yã/I modulo a GL2(K)-invariant ideal I. (4) Applying known results from commutative algebra, we construct classes of automorphisms of the algebra generated by two generic 2Ã2 matrices. We obtain also some partial results on relatively free Lie algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 292, Issue 2, 15 October 2005, Pages 393-428
Journal: Journal of Algebra - Volume 292, Issue 2, 15 October 2005, Pages 393-428
نویسندگان
Vesselin Drensky, C.K. Gupta,