Invariants of the vacuum module associated with the Lie superalgebra gl(1|1)
dc.contributor.author | Molev, Alexander | |
dc.contributor.author | Mukhin, Evgeny E. | |
dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
dc.date.accessioned | 2015-12-30T17:18:14Z | |
dc.date.available | 2015-12-30T17:18:14Z | |
dc.date.issued | 2015-07 | |
dc.description.abstract | We describe the algebra of invariants of the vacuum module associated with an affinization of the Lie superalgebra gl(1|1). We give a formula for its Hilbert–Poincare´ series in a fermionic (cancellation-free) form which turns out to coincide with the generating function of the plane partitions over the (1, 1)-hook. Our arguments are based on a super version of the Beilinson–Drinfeld–Raı¨s–Tauvel theorem which we prove by producing an explicit basis of invariants of the symmetric algebra of polynomial currents associated with gl(1|1). We identify the invariants with affine supersymmetric polynomials via a version of the Chevalley theorem. | en_US |
dc.eprint.version | Author's manuscript | en_US |
dc.identifier.citation | Molev, A. I., & Mukhin, E. E. (2015). Invariants of the vacuum module associated with the Lie superalgebra gl(1|1). Journal of Physics A: Mathematical and Theoretical, 48(31), 314001. http://doi.org/10.1088/1751-8113/48/31/314001 | en_US |
dc.identifier.uri | https://hdl.handle.net/1805/7859 | |
dc.language.iso | en | en_US |
dc.publisher | IOP | en_US |
dc.relation.isversionof | 10.1088/1751-8113/48/31/314001 | en_US |
dc.relation.journal | Journal of Physics A: Mathematical and Theoretical | en_US |
dc.rights | IUPUI Open Access Policy | en_US |
dc.source | Author | en_US |
dc.subject | algebra of invariants | en_US |
dc.subject | vacuum module | en_US |
dc.subject | Lie superalgebra gl(1|1) | en_US |
dc.title | Invariants of the vacuum module associated with the Lie superalgebra gl(1|1) | en_US |
dc.type | Article | en_US |