Results 1 to 10 of about 40 (39)
N = 3 SCFTs in 4 dimensions and non-simply laced groups
Journal of High Energy Physics, 2020 In this paper we discuss various N = 3 SCFTs in 4 dimensions and in particular those which can be obtained as a discrete gauging of an N = 4 SYM theories with non- simply laced groups.
Mikhail Evtikhiev
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Hyperbolic geometry and reflection groups [PDF]
Bulletin of the Australian Mathematical Society, 1996 The \(n\)-dimensional pseudospheres are the surfaces in \(\mathbb{R}^{n+ 1}\) given by the equations \[ x^2_1+ x^2_2+ \cdots + x^2_k- x_{k+ 1}^2- \cdots- x_{n+ 1}^2= 1\quad (1\leq k\leq n+ 1). \] The cases \(k= 1\), \(n+ 1\) give, respectively a pair of hyperboloids, and the ordinary \(n\)-sphere.
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Reflection groups in algebraic geometry [PDF]
Bulletin of the American Mathematical Society, 2007 After a brief exposition of the theory of discrete reflection groups in spherical, euclidean and hyperbolic geometry as well as their analogs in complex spaces, we present a survey of appearances of these groups in various areas of algebraic geometry.
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Reflection Groups, Generalized Schur Functions, and the Geometry of Majorization
The Annals of Probability, 1977 Let $G$ be a closed subgroup of the orthogonal group $O(n)$ acting on $R^n$. A real-valued function $f$ on $R^n$ is called $G$-monotone (decreasing) if $f(y) \geqq f(x)$ whenever $y \precsim x$, i.e., whenever $y \in C(x)$, where $C(x)$ is the convex hull of the $G$-orbit of $x$.
Eaton, Morris L., Perlman, Michael D.
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Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry
Journal of Noncommutative GeometryLet $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_e$ is also Artin-Schelter regular, providing a generalization of the Shephard-Todd-Chevalley Theorem, we say that $G$ is a dual reflection group for $A$.
Goetz, Peter +3 more
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Differential Geometry and its Applications, 2013 For a finite reflection subgroup $G\leq O(n+1,1,\mR)$ of the conformal group of the sphere with standard conformal structure $(S^n,[g_0])$, we geometrically derive differential-difference Dunkl version of the series of conformally invariant differential operators with symbols given by powers of Laplace operator.
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, 2011 This is a chapter in an upcoming Tamari Festscrift. Permutahedra are a class of convex polytopes arising naturally from the study of finite reflection groups, while generalized associahedra are a class of polytopes indexed by finite reflection groups. We present the intimate links those two classes of polytopes share.
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Combinatorics of Reflection Groups and Real Algebraic Geometry
, 2022 Real algebraic geometry studies sets defined by a finite system of real polynomial equalities and inequalities. A central topic in this area is the study of the cone of nonnegative polynomials. Verifying that a given polynomial is nonnegative is an NP-hard problem.
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3D seismic-reflection geometry analysis in the Chalk Group, southern Danish North Sea
, 2015 The Upper Cretaceous to lower Paleogene Chalk Group of NW Europe is classically assumed to represent the settlement of homogeneous calcareous ooze from suspension draping submarine morphology under quiet pelagic conditions. Redeposited chalk units have, however, also been identified in the Central North Sea.
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Combinatorics, geometry and homology of non-crossing partition lattices for finite reflection groups
, 2008 openaire +1 more source