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Normality of orbit closure

Web22 de abr. de 2010 · We prove that each closure is an invariant-theoretic quotient of a suitably-defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closures are also normal. WebOrbit 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 ...

Normality of orbit closures for directing modules over tame …

Web24 de jul. de 2024 · It is easily checked that this \mathbf {C}^* -action has only positive weights and \tilde {O} becomes a conical symplectic variety. It may happen that \tilde {O} coincides with a normal nilpotent orbit closure of a different complex semisimple Lie algebra (cf. [ 3, Example 3.5]). In such a case the maximal weight is 1. 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 … litchfield karting https://prediabetglobal.com

The normality of closures of orbits in a Lie algebra

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 … 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 ... WebAs 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, ... imperial homes houston victoria haley

Normality of orbit closures in the enhanced nilpotent cone

Category:Closed Orbit Conditions for Power Potentials - Analytic Physics

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Normality of orbit closure

The normality of closures of orbits in a Lie algebra - ResearchGate

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 Webity of the orbit closure O¯N in the case (C) of Theorem 1.2 is an open question in general, and we shall handle it in a separate paper. Since O¯N is an irreducible affine hypersurface, then, by a well-known criterion of Serre (see, for example, section III.8 of [7]), its normality is equivalent to the non-singularity

Normality of orbit closure

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Web3 de fev. de 2016 · In this paper, we prove the normality of the orbit closure \(\bar {\mathcal {O}}_{N}\) when it is a hypersurface. The result thus gives new examples of … Web12 de set. de 2011 · Abstract Let $\\Delta $ be a Euclidean quiver. We prove that the closures of the maximal orbits in the varieties of representations of $\\Delta $ are …

WebMy second question, is the same but for the orbit closure of an orbit in the enhanced nilpotent cone (see, for instance, ... For algebraic properties of these coordinate rings like normality, Gorensteinness, rational singularities, see the book. WebIt is trivial to check by this condition that the simple harmonic oscillator takes two circuits for a closed orbit and the Kepler potential only one. This latter is true of any negative …

Webbe the closure of the orbit of;c f. Then the \-cycle C— CΊ 4- ••• -f C s is Q-homologous to zero in X. 2) Suppose that G = C. Let C be a closure of some orbit such that either C is singular or (C is nonsingular but) the intersection of C with XG is not transversal. Then C is Q-homomologous to zero in X. WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us

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 …

WebarXiv:1004.3822v1 [math.RT] 22 Apr 2010 NORMALITY OF ORBIT CLOSURES IN THE ENHANCED NILPOTENT CONE PRAMOD N. ACHAR, ANTHONY HENDERSON, AND … imperial homes naples flWebNormality 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 … imperial home stainless steel bowlsWeb1 de dez. de 2015 · In this note we investigate the normality of closures of orthogonal and symplectic nilpotent orbits in positive characteristic. We prove that the closure of such a nilpotent orbit is normal provided that neither type d nor type e minimal irreducible degeneration occurs in the closure, and conversely if the closure is normal, then any … imperial home stainless steel bowls with lidsWebLexX 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 … imperial hood c2000Webof Levasseur, Smith, and Vogan. They found that the failure of the closure of the eight-dimensional nilpotent orbit of G2 to be a normal variety may be "remedied" by refinding … litchfield lane houston txWeb21 de abr. de 2010 · Normality of orbit closures in the enhanced nilpotent cone. April 2010; Nagoya Mathematical ... We prove that each closure is an invariant-theoretic quotient of … litchfield landing cooperativeWebNormality 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 quotient of a suitably defined enhanced quiver variety. We conjecture, and prove in special cases, ... imperial homes houston tx