Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'488'730
Articles rated: 2609

29 March 2024
 
  » arxiv » math.QA/0204298

 Article overview


Method of quantum characters in equivariant quantization
J. Donin ; A. Mudrov ;
Date 24 Apr 2002
Journal Commun.Math.Phys. V.234 (2003) 533-555
Subject Quantum Algebra | math.QA
AbstractLet $G$ be a reductive Lie group, $g$ its Lie algebra, and $M$ a $G$-manifold. Suppose $A_h(M)$ is a $U_h(g)$-equivariant quantization of the function algebra $A(M)$ on $M$. We develop a method of building $U_h(g)$-equivariant quantization on $G$-orbits in $M$ as quotients of $A_h(M)$. We are concerned with those quantizations that may be simultaneously represented as subalgebras in $U^*_h(g)$ and quotients of $A_h(M)$. It turns out that they are in one-to-one correspondence with characters of the algebra $A_h(M)$. We specialize our approach to the situation $g=gl(n,C)$, $M=End(C^n)$, and $A_h(M)$ the so-called reflection equation algebra associated with the representation of $U_h(g)$ on $C^n$. For this particular case, we present in an explicit form all possible quantizations of this type; they cover symmetric and bisymmetric orbits. We build a two-parameter deformation family and obtain, as a limit case, the $U(g)$-equivariant quantization of the Kirillov-Kostant-Souriau bracket on symmetric orbits.
Source arXiv, math.QA/0204298
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica