Hilbert series associated to symplectic quotients by SU2
| Autor: | Christopher Seaton, Hans-Christian Herbig, Daniel Herden |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics 05 social sciences Special linear group Graded ring Expression (computer science) 01 natural sciences symbols.namesake 0502 economics and business symbols 0101 mathematics 050203 business & management Special unitary group Quotient Mathematics Symplectic geometry Hilbert–Poincaré series |
| Zdroj: | International Journal of Algebra and Computation. 30:1323-1357 |
| ISSN: | 1793-6500 0218-1967 |
| DOI: | 10.1142/s0218196720500435 |
| Popis: | We compute the Hilbert series of the graded algebra of real regular functions on the symplectic quotient associated to an [Formula: see text]-module and give an explicit expression for the first nonzero coefficient of the Laurent expansion of the Hilbert series at [Formula: see text]. Our expression for the Hilbert series indicates an algorithm to compute it, and we give the output of this algorithm for all representations of dimension at most [Formula: see text]. Along the way, we compute the Hilbert series of the module of covariants of an arbitrary [Formula: see text]- or [Formula: see text]-module as well as its first three Laurent coefficients. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|