Corpus ID: 235458650

# Gorenstein Fano Generic Torus Orbit in $G/P$

@inproceedings{Montagard2018GorensteinFG,
title={Gorenstein Fano Generic Torus Orbit in \$G/P\$},
author={Pierre-Louis Montagard and A. Rittatore},
year={2018}
}
• Published 2018
• Mathematics
Given a simple algebraic group G and a parabolic subgroup P ⊂ G, with maximal torus T , we consider the closure X of a generic T -orbit (in the sense of Dabrowski’s work) in G/P , and determine when X is a GorensteinFano variety. We deduce of this classification a list of some pairs of dual reflexive polytopes.

#### References

SHOWING 1-10 OF 23 REFERENCES
GAP – Groups
• Algorithms, and Programming – version 3 release 4 patchlevel 4”. Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany,
• 1997
369 (4)
• 2017, pp 2363–
Inverses of Cartan matrices of Lie algebras and Lie superalgebras
• Mathematics
• 2017
Abstract We derive explicit formulas for the inverses of the Cartan matrices of the simple Lie algebras and the basic classical Lie superalgebras, as well as for their infinite generalizations.
The Sage Development Team
• Sage Mathematics Software
• 2016
Standard parabolic subsets of highest weight modules
In this paper we study certain fundamental and distinguished subsets of weights of an arbitrary highest weight module over a complex semisimple Lie algebra. These sets ${\rm wt}_J \mathbb{V}^\lambda$Expand
The development version of the CHEVIE package of GAP3
I describe the current state of the development version of the CHEVIE package, which deals with Coxeter groups, reductive algebraic groups, complex reflection groups, Hecke algebras, braid monoids,Expand
Toric varieties, Graduate Studies in Mathematics
• 2011
TORIC VARIETIES
We study toric varieties over a field k that split in a Galois extension K/k using Galois cohomology with coefficients in the toric automorphism group. This Galois cohomology fits into an exactExpand
The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces
• Mathematics
• 2009
A root system $R$ of rank $n$ defines an $n$-dimensional smooth projective toric variety $X(R)$ associated with its fan of Weyl chambers. We give a simple description of the functor of $X(R)$ inExpand
CHEVIE — A system for computing and processing generic character tables
• Mathematics, Computer Science
• Applicable Algebra in Engineering, Communication and Computing
• 2005
CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptualExpand