scholarly journals Effective Transitive Actions of the Unitary Group on Quotients of Hopf Manifolds

2016 ◽  
Vol 27 (3) ◽  
pp. 1914-1919
Author(s):  
Alexander Isaev
Keyword(s):  
Unitary Group ◽  
Hopf Manifolds ◽  
Transitive Actions

scholarly journals Geometrically rational real conic bundles and very transitive actions

2010 ◽  
Vol 147 (1) ◽  
pp. 161-187 ◽  
Author(s):  
Jérémy Blanc ◽  
Frédéric Mangolte
Keyword(s):  
Automorphism Groups ◽  
Algebraic Surfaces ◽  
Algebraic Models ◽  
Transitive Automorphism ◽  
Real Locus ◽  
Real Algebraic Surfaces ◽  
Conic Bundles ◽  
Transitive Actions ◽  
Insight Into

AbstractIn this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups. We give applications to the classification of real algebraic models of compact surfaces: these applications yield new insight into the geometry of the real locus, proving several surprising facts on this geometry. This geometry can be thought of as a half-way point between the biregular and birational geometries.

scholarly journals PAIR CORRELATOR IN THE ITZYKSON-ZUBER INTEGRAL

1992 ◽  
Vol 07 (37) ◽  
pp. 3503-3507 ◽  
Author(s):  
A. MOROZOV
Keyword(s):  
Explicit Expression ◽  
Unitary Group ◽  
Pair Correlator

An explicit expression is suggested for the average [Formula: see text] over the unitary group SU (N) with the Itzykson-Zuber measure [dU] exp tr ΦUΨU†.

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