Completing the classification of representations of SLn with complete intersection invariant ring
Abstract: We present a full list of all representations of the special linear group SLn over the complex numbers with complete intersection invariant ring of homological dimension greater than or equal to two, completing the classification of Shmelkin. For this task, we combine three techniques. Firstly, the graph method for invariants of SLn developed by the author to compute invariants, covariants and explicit forms of syzygies. Secondly, a new algorithm for finding a monomial order such that a certain basis of an ideal is a Gröbner basis with respect to this order, in between usual Gröbner basis computation and computation of the Gröbner fan. Lastly, a modification of an algorithm by Xin for MacMahon partition analysis to compute Hilbert series
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Anmerkungen
-
Transformation groups. - 26, 1 (2021) , 115-144, ISSN: 1531-586X
- DOI
-
10.1007/s00031-020-09605-0
- URN
-
urn:nbn:de:bsz:25-freidok-1941512
- Rechteinformation
-
Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:58 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Braun, Lukas
- Universität
Entstanden
- 2021
Ähnliche Objekte (12)
Completing the Classification of Representations of SL n with Complete Intersection Invariant Ring
Intersection optimization is NP-complete
Completing RHINO
All complete intersection Calabi-Yau four-folds
Probabilistic models for invariant representations and transformations
Completing banking union
Completing banking union
Strange Duality Between the Quadrangle Complete Intersection Singularities
PDL with intersection and converse is 2EXP-complete
Intersection theory on moduli of smooth complete intersections
Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds
Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds
Completing the Classification of Representations of SL n with Complete Intersection Invariant Ring
Intersection optimization is NP-complete
Completing RHINO
All complete intersection Calabi-Yau four-folds
Probabilistic models for invariant representations and transformations
Completing banking union
Completing banking union
Strange Duality Between the Quadrangle Complete Intersection Singularities
PDL with intersection and converse is 2EXP-complete
Intersection theory on moduli of smooth complete intersections
Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds
Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds
Completing the Classification of Representations of SL n with Complete Intersection Invariant Ring
Intersection optimization is NP-complete
Completing RHINO
All complete intersection Calabi-Yau four-folds
Probabilistic models for invariant representations and transformations
Completing banking union
Completing banking union
Strange Duality Between the Quadrangle Complete Intersection Singularities
PDL with intersection and converse is 2EXP-complete
Intersection theory on moduli of smooth complete intersections
Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds