Titlebook: Lie Groups: Structure, Actions, and Representations; In Honor of Joseph A Alan Huckleberry,Ivan Penkov,Gregg Zuckerman Book 2013 Springer S

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Real Group Orbits on Flag Manifolds,We gather, partly with proofs, various results on the action of a real form of a complex semisimple group on its flag manifolds. In particular, we discuss the relationship between the cycle spaces of open orbits thereon and the crown of the symmetric space of non-compact type.

SLING

Complex Connections with Trivial Holonomy,Given an almost complex manifold (., .), we study complex connections with trivial holonomy such that the corresponding torsion is either of type (2, 0) or of type (1, 1) with respect to .. Such connections arise naturally when considering Lie groups, and quotients by discrete subgroups, equipped with bi-invariant and abelian complex structures.

Bridle

變異

Twistor Theory and the Harmonic Hull,We use twistor theory to identify the harmonic hull of an arbitrary connected open subset . of . for . ≥ 2. It is the natural domain of analytic continuation in . for harmonic functions on ..

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,The Segal–Bargmann Transform on Compact Symmetric Spaces and Their Direct Limits,This article studies the limit of the Segal-Bargman transform on inductive limits of compact symmetric spaces.

monopoly

One-Step Spherical Functions of the Pair (SU(,+1), U(,)),The aim of this paper is to determine all irreducible spherical functions of the pair ., where the highest weights of their .-types are the form ..

大量

,Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups,Chern–Weil and Chern–Simons theory extend to certain infinite-rank bundles that appear in mathematical physics. We discuss what is known of the invariant theory of the corresponding infinite-dimensional Lie groups. We use these techniques to detect cohomology classes for spaces of maps between manifolds and for diffeomorphism groups of manifolds.

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On the Structure of Finite Groups with Periodic Cohomology,Detailed analysis of the structure of groups with periodic cohomology, with application to the problem of free group actions on spheres.

frugal

Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Sinbtain a result of an independent interest which can be viewed as a generalised Hadamard lemma for .-invariant functions on .. Nilpotent Gelfand pairs here are assumed to satisfy Vinberg’s condition, meaning that . acts irreducibly on the quotient of n = Lie . by its derived subalgebra.

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