The moment map of a Lie group representation
نویسندگان
چکیده
منابع مشابه
On the Moment Map for the Variety of Lie Algebras
We consider the moment map m : PVn 7→ iu(n) for the action of GL(n) on Vn = Λ(C) ⊗ C. The critical points of the functional Fn = ||m|| : PVn 7→ R are studied, in order to understand the stratification of Ln ⊂ PVn defined by the negative gradient flow of Fn, where Ln is the algebraic subset of all Lie algebras. We obtain a description of the critical points which lie in Ln in terms of those whic...
متن کاملThe Universal Representation Kernel of a Lie Group
Let G be a connected real Lie group. The universal representation kernel, Ko, oí G is defined as the intersection of all kernels of continuous finite dimensional representations of G. Evidently, Ko is a closed normal subgroup of G, and it is known from a theorem due to Goto (cf. [l, Theorem 7.1]) that G/Ko has a faithful continuous finite dimensional representation. Thus Kg is the smallest norm...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولThe Automorphism Group of a Lie Group
Introduction. The group A (G) of all continuous and open automorphisms of a locally compact topological group G may be regarded as a topological group, the topology being defined in the usual fashion from the compact and the open subsets of G (see §1). In general, this topological structure of A(G) is somewhat pathological. For instance, if G is the discretely topologized additive group of an i...
متن کاملheterogeneity within the orientalist discourse: representation of the orient in womens travelogues and mens paintings
from 1950s onward, new theories and critical approaches burgeoned across humanities. these theories were context-oriented; as a result, the analysis of discursive practices gained significance. thus, social, political, historical and cultural discourses that have been hitherto marginalized and considered inferior to literary texts, were introduced as important texts to be analyzed by critics. o...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1992
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1992-1040046-6