کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4583876 | 1630460 | 2016 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exact sequences, Hochschild cohomology, and the Lie module structure over the M-relative center
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this article, we present actions by central elements on Hochschild cohomology groups with arbitrary bimodule coefficients, as well as an interpretation of these actions in terms of exact sequences. Since our construction utilizes the monoidal structure that the category of bimodules possesses, we will further recognize that these actions are compatible with monoidal functors and thus, as a consequence, are invariant under Morita equivalences. By specializing the bimodule coefficients to the underlying algebra itself, our efforts in particular yield a description of the degree-(n,0)(n,0)-part of the Lie bracket in Hochschild cohomology, and thereby close a gap in earlier work by S. Schwede.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 454, 15 May 2016, Pages 29–69
Journal: Journal of Algebra - Volume 454, 15 May 2016, Pages 29–69
نویسندگان
Reiner Hermann,