Cluster algebras generated by projective cluster variables
Duration: 26 mins 44 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Alireza Nasr-Isfahani University of Isfahan; IPM - Institute for Research In Fundamental Sciences
23 September 2021 – 13:45 to 14:15 |
|---|
| Created: | 2021-09-24 09:43 |
|---|---|
| Collection: | Cluster algebras and representation theory |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | Nasr-Isfahani, A |
| Language: | eng (English) |
| Abstract: | We introduce the notion of a lower bound cluster algebra generated by projective cluster variables as a polynomial ring over the initial cluster variables and the so-called projective cluster variables. We show that under an acyclicity assumption, the cluster algebra and the lower bound cluster algebra generated by projective cluster variables coincide. In this case we use our results to construct a basis for the cluster algebra. We also show that any coefficient-free cluster algebra of types or
is equal to the corresponding lower bound cluster algebra generated by projective cluster variables. This talk is based on a joint work with Karin Baur. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 643.8 kbits/sec | 126.06 MB | View | Download | |
| WebM | 640x360 | 277.17 kbits/sec | 54.30 MB | View | Download | |
| iPod Video | 480x270 | 481.01 kbits/sec | 94.18 MB | View | Download | |
| MP3 | 44100 Hz | 249.88 kbits/sec | 48.96 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||