Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Rings and Algebras

arXiv:0704.3450 (math)
This paper has been withdrawn by Esther Beneish
[Submitted on 25 Apr 2007 (v1), last revised 26 Mar 2012 (this version, v3)]

Title:The center of the generic algebra of degree p

Authors:Esther Beneish
No PDF available, click to view other formats
Abstract: Let $F$ be an algebraically closed field of characteristic zero, and let $p$ be an odd prime. We show that the center of the generic division algebra of degree $p$ is stably rational over $F$. Equivalently, if we let $V=M_p(F) \oplus M_p(F)$ and $PGL_p$ act on $V$ by simultaneous conjugation, then we show that the function field of the quotient variety $V/PGL_p$ is stably rational over $F$.
Comments: I am withdrawing this article
Subjects: Rings and Algebras (math.RA); Representation Theory (math.RT)
MSC classes: primary: 13A50, secondary 20C10
Cite as: arXiv:0704.3450 [math.RA]
  (or arXiv:0704.3450v3 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.0704.3450

Submission history

From: Esther Beneish [view email]
[v1] Wed, 25 Apr 2007 21:12:23 UTC (232 KB)
[v2] Thu, 7 Jun 2007 16:32:06 UTC (1 KB) (withdrawn)
[v3] Mon, 26 Mar 2012 22:17:06 UTC (1 KB) (withdrawn)
Full-text links:

Access Paper:

  • Withdrawn
Current browse context:
math.RA
< prev   |   next >
new | recent | 2007-04
Change to browse by:
math
math.RT

References & Citations

2 blog links

(what is this?)
export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)