site stats

Normality of orbit closure

WebNormality of Maximal Orbit Closures for Euclidean Quivers Canadian Journal of Mathematics Cambridge Core. Normality of Maximal Orbit Closures for Euclidean … WebLexX be the closure of aG-orbit in the Lie algebra of a connected reductive groupG. It seems that the varietyX is always normal. After a reduction to nilpotent orbits, this is proved for some special cases. Results on determinantal schemes are used forGl n . IfX is small enough we use a resolution and Bott's theorem on the cohomology of homogeneous …

On the normality of orbit closures which are hypersurfaces

WebCanad. J. Math. Vol. 64 (6), 2012 pp. 1222–1247 http://dx.doi.org/10.4153/CJM-2012-012-7 Canadian Mathematical Society 2012c Normality of Maximal Orbit Closures for ... WebNormality of orbit closures in the enhanced nilpotent cone - Volume 203. Skip to main content Accessibility help ... We prove that each closure is an invariant-theoretic … fcs fanradio heute https://ezsportstravel.com

Normality of orbit closures in the enhanced nilpotent cone

WebThe normality of the orbit closure ON in the case (C) of Theorem 1.2 is an open question in general, and we shall handle it in a separated paper. Since ON is an irreducible affine hypersurface, then, by a well-known criterion of Serre (see, for example, [7, III.8]), its normality is equivalent to WebLet N be a quiver representation with non-zero admissible annihilator. In this paper, we prove the normality of the orbit closure ŌN$\\bar {\\mathcal {O}}_{N}$ when it is a hypersurface. The result thus gives new examples of normal orbit closures of quiver representations. WebWe prove that each closure is an invariant-theoretic quotient of a suitably defined enhanced quiver variety. We conjecture, ... {Normality of orbit closures in the enhanced nilpotent cone}, author={Pramod N. Achar and Anthony Henderson and Benjamin F. Jones}, journal={Nagoya Mathematical Journal}, year={2011}, volume= ... fritz the cat female characters

arXiv:1501.00249v2 [math.RT] 28 Sep 2015

Category:Orbit closures of quiver representations

Tags:Normality of orbit closure

Normality of orbit closure

Normality of orbit closures for Dynkin quivers¶of type ?n

WebEDIT: Here I'm using shorthand to avoid normality questions: ... As Fu notes in Prop. 3.16, it follows from the main theorem of the paper that a nilpotent orbit whose closure admits … Web10 de mar. de 2024 · We study closures of conjugacy classes in the symmetric matrices of the orthogonal group and we determine which one are normal varieties. In contrast to the result for the symplectic group where all classes have normal closure, there is only a relatively small portion of classes with normal closure. We perform a combinatorial …

Normality of orbit closure

Did you know?

Web1 de jan. de 2015 · Download PDF Abstract: In this note we investigate the normality of closures of orthogonal and symplectic nilpotent orbits in positive characteristic. We prove … WebThe normality of closures of nilpotent orbit of classical group have been studied by several authors. However, there is still an open question to decide the normality of the closures …

WebNORMALITY OF ORBIT CLOSURES 5 A bipartition of size n is simply an ordered pair (μ;ν) of partitions with μ + ν =n.We put Q n ={bipartitions of size n}. Given a bipartition … Web27 de mai. de 2024 · We show that endomorphism rings of cogenerators in the module category of a finite-dimensional algebra A admit a canonical tilting module, whose tilted algebra B is related to A by a recollement. Let M be a gen-finite A-module, meaning there are only finitely many indecomposable modules generated by M. Using the canonical tilts …

Web1 de abr. de 2006 · Normality of orbit closures for Dynkin quivers of type A n. Manuscripta Math., 105 (2001), pp. 103-109. View Record in Scopus Google Scholar. ... An orbit closure for a representation of the Kronecker quiver with bad singularities. Colloq. Math., 97 (2003), pp. 81-86. CrossRef View Record in Scopus Google Scholar WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us

WebWe recall the dimension formula for the orbit Cλ from [10, Remark 8]: dimCλ = 1 2 n2 − t i=1 λ2 i.(2) As the nilpotent cone of p(V) is G(V)-stable with only finitely many orbits, we have that orbit closure Cλ is G(V)-stable, and the complement Cλ \Cλ is a disjoint union of finitely many orbits. The relation Cμ ⊆ Cλ produces a ...

Web1 de fev. de 2016 · DOI: 10.1007/s12044-015-0260-5 Corpus ID: 255492900; On the normality of orbit closures which are hypersurfaces @article{Lc2016OnTN, title={On … fcs farmingtonWeb20 de nov. de 2024 · On Orbit Closures of Symmetric Subgroups in Flag Varieties - Volume 52 Issue 2. Due to planned system work, ecommerce on Cambridge Core will be unavailable on 12 March 2024 from 08:00 ... [12] Ramanan, S. and Ramanathan, A., Projective normality of flag varieties and Schubert varieties. fcs family office leawood ksWeb1 de dez. de 1979 · Abstract. Let X be the closure of a G-orbit in the Lie algebra of a connected reductive group G. It seems that the variety X is always normal. After a reduction to nilpotent orbits, this is proved ... fcs farm credit servicesWeb10 de mar. de 2024 · We study closures of conjugacy classes in the symmetric matrices of the orthogonal group and we determine which one are normal varieties. In contrast to the … fritz the cat freeWeb29 de out. de 2003 · For a non-generic torus orbit closure Y of G/B, one can find the corresponding fan using the Orbit-Cone correspondence. It should be noted that Y is not … fcs fever podcastWebAs a consequence, we obtain the normality of certain orbit closures of type E. 1 Introduction. Let K be a field of characteristic zero. A quiver is a pair Q=(Q 0,Q 1) where Q 0 is a set of vertices and Q 1 is a set of arrows. ... In the case of Dynkin quivers, the variety Y =q(Z(Q,β⊂β+γ)) is an orbit closure: Z(Q, ... fritz the cat free onlineWebOrbit closuresGeometric techniqueCalculationsResults Example V x V(a) dimV x = d Rep(Q;d) = M d d(k) Group action: conjugation Orbits: conjugacy classes of matrices in M(d;k) Geometry: normal, Cohen-Macaulay varieties with rational singularities. For nilpotent V(a), if char k >0 then O V(a) is a Frobenius split variety. if char k = 0 then O V(a ... fritz the cat fritz