Grothendieck groups of invariant rings: Examples
作者:
Kenneth A. Brown,
Martin Lorenz,
期刊:
Communications in Algebra
(Taylor Available online 1994)
卷期:
Volume 22,
issue 1
页码: 279-306
ISSN:0092-7872
年代: 1994
DOI:10.1080/00927879408824845
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
The Grothendieck group of the ring of invariantsRof a finite groupacting linearly in coprime characteristic on the symmetric algebraS = S(V)is investigated. It is shown thatwhere F is a finite group of exponent dividing‖G‖dimV.The groupFis calculated for several important classes of examples: whenGacts via a direct sum of faithful linear characters; and whenGhas prime order and permutes a basis ofV. The latter action is also studied in the case whenSis a Laurent polynomial ring indimVvariables.
点击下载:
PDF (579KB)
返 回