Isometric group actions on Banach spaces and representations vanishing at infinity Yves de Cornulier, Romain Tessera, Alain Valette November 28, 2006 Abstract Our main result is that the simple Lie group G = Sp(n, 1) act

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• Mathematical analysis
• Mathematics
• Geometry
• Geometric group theory
• Functional analysis
• Topological groups
• HahnBanach theorem
• Representation theory
• Kazhdan's property
• Uniform boundedness principle
• Reductive group
• Banach spaces

ON THE VANISHING OF REDUCED 1-COHOMOLOGY FOR BANACHIC REPRESENTATIONS YVES CORNULIER AND ROMAIN TESSERA Abstract. A theorem of Delorme states that every unitary representation of a connected Lie group with nontrivial red

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• Geometry
• Group theory
• Mathematics
• Geometric group theory
• Lie groups
• Topological groups
• Metric geometry
• Amenable group
• Kazhdan's property
• Solvable group
• Lattice
• Representation theory

QUASI-ISOMETRICALLY EMBEDDED FREE SUB-SEMIGROUPS YVES DE CORNULIER, ROMAIN TESSERA Abstract. If G is either a connected Lie group, or a finitely generated solvable group with exponential growth, we show that G contains a

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• Algebra
• Abstract algebra
• Mathematics
• Metric geometry
• Semigroup theory
• Algebraic structures
• Equivalence
• Geometric group theory
• Semigroup
• Nilpotent group
• Valuation ring
• Isometry

Week 4 (due April 30) Reading: Srednicky, sections 69, 70. See also a book by Howard Georgi, ”Lie algebras in particle physics”. 1. (a) (10 points) The complex symplectic group Sp(2N, C) is a complex subgroup of GL(2

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Strong real forms and the Kac classification Jeffrey Adams October 21, 2005 This paper is expository. It is a mild generalization of the Kac classification of real forms of a simple Lie group to strong real forms. The ba

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c: A Practical View of W A Guide to Working with Weyl Group Representations, With Special Emphasis on Branching Rules Atlas of Lie Groups AIM Workshop IV 10–14 July 2006

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Notes on the unitary dual of real split groups July 20, 2005 Contents 1 The unitary dual of a real split semi-simple Lie group

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Nonlinear Analysis: Modelling and Control, 2010, Vol. 15, No. 4, 435–436 Comments on “Lie group analysis of natural convection heat and mass transfer in an inclined surface” M. Jalil, S. Asghar Department of Mathe

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Some Holomorphic Semi-Groups* In this note we state some basic spectral properties of a class of operators associated with a representation of a Lie group. We merely indicate the proofs since we intend to give details in

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MODULI SPACES AND LOCALLY SYMMETRIC VARIETIES EDUARD LOOIJENGA 1. S OME CLASSICAL SYMMETRIC DOMAINS AND H ODGE THEORY Let G be a connected reductive Lie group with compact center. If G acts smoothly and transitively on m

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