Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/17234
Title: | Geometric classification of 4-dimensional superalgebras | Authors: | Armour, Aaron ZHANG, Yinhuo |
Issue Date: | 2014 | Publisher: | Springer | Source: | Makhlouf, A.; Paal, E.; Silvestrov, S.; Stolin, A. (Ed.). Algebra, Geometry and Mathematical Physics: Proceedings of AGMP, p. 291-323 | Series/Report: | Springer Proceeding of Mathematics and Statistics | Abstract: | In this paper, we give a geometric classification of 4-dimensional superalgebras over an algebraic closed field. It turns out that the number of irreducible components of the variety of 4-dimensional superalgebras Salg$_4$ under the Zariski topology is between 20 and 22. One of the significant differences between the variety Alg$_n$ and the variety Salg$_n$ is that Salg$_n$ is disconnected while Alg$_n$ is connected. Under certain conditions on $n$, one can show that the variety Salg$_n$ is the disjoint union of $n$ connected subvrieties. We shall present the degeneration diagrams of the 4 disjoint connected subvarieties Salg$^i_4$ of Salg$_4$. | Document URI: | http://hdl.handle.net/1942/17234 | ISBN: | 978-3-642-55360-8 | DOI: | 10.1007/978-3-642-55361-5 | Category: | C1 | Type: | Proceedings Paper |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
AGMP-proceeding.322-354.pdf Restricted Access | 568.75 kB | Adobe PDF | View/Open Request a copy |
Page view(s)
150
checked on Nov 7, 2023
Download(s)
132
checked on Nov 7, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.