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Tropical representation of Weyl groups associated with certain rational varieties
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tsuda, Teruhisa Takenawa, Tomoyuki |
| Copyright Year | 2006 |
| Abstract | Starting from certain rational varieties blown-up from ( P1)N, we construct a tropical, i.e., subtraction-free birational, representation of Weyl grou ps as a group of pseudo isomorphisms of the varieties. We develop an algebro-geometric framewor k of τ-functions as defining functions of exceptional divisors on the varieties. In the case w h re the corresponding root system is of affine type, our construction yields a class of (higher order) q-difference Painlevé equations and its algebraic degree grows quadratically. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0607661v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0607661v3.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Linear algebra Pseudo brand of pseudoephedrine Spinor Substructural type system |
| Content Type | Text |
| Resource Type | Article |
