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Integral Bases for the Universal Enveloping Algebras of Map Algebras
the Universal Enveloping Algebras Map Algebras Integral Bases Representation Theory
2011/8/26
Abstract: Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral f...
We explore Ricci flow coupled with harmonic map flow, both as it arises naturally in certain bundle constructions related to Ricci flow and as a geometric flow in its own right.
A completely positive map associated with a positive map
completely positive map associated positive map
2010/12/14
We show that each positive map from B(K) to B(H) is a scalar mul-tiple of a map of the form T r − with completely positive. This is used to give necessary and sufficient conditions for maps ...
The Dixmier map for nilpotent super Lie algebras
Dixmier map Kirillov orbit method Lie superalgebras representation theory
2010/11/30
In this article we prove that there exists a Dixmier map for nilpotent super Lie algebras. In other words, if we denote by Prim(U(g)) the set of (graded) primitive ideals of the enveloping algebra U(g...
On the Metabelian Local Artin Map I: Galois Conjugation Law
local fields metabelian extensions metabelian local Artin map non-abelian local class field theory
2010/3/1
It is proved that, for a (henselian) local field K and for a fixed Lubin-Tate splitting f over K, the metabelian local Artin map (?, K)f: B(K, f) \tilde{\rightarrow} Gal (K(ab)2 / K) satisfies the Gal...