About this Book

Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras img style="width:13px;height:11px;margin-right:0.004em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0052.png" img style="width:6px;height:7px;vertical-align:-2px" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/085/0071.png" img style="width:5px;height:18px;vertical-align:-5px;margin-right:0.024em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005B.png"img style="width:13px;height:11px;margin-right:0.027em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0047.png"img style="width:3px;height:18px;vertical-align:-5px;margin-right:0.124em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005D.png"  on simple algebraic groups in terms of the centers of certain localizations of quotients of img style="width:13px;height:11px;margin-right:0.004em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0052.png" img style="width:6px;height:7px;vertical-align:-2px" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/085/0071.png" img style="width:5px;height:18px;vertical-align:-5px;margin-right:0.024em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005B.png"img style="width:13px;height:11px;margin-right:0.027em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0047.png"img style="width:3px;height:18px;vertical-align:-5px;margin-right:0.124em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005D.png" 
by torus invariant prime ideals, or equivalently in terms of orbits
of finite groups. These centers were only known up to finite
extensions. The author determines the centers explicitly under the
general conditions that the deformation parameter is not a root of
unity and without any restriction on the characteristic of the ground
field. From it he deduces a more explicit description of all prime
ideals of img style="width:13px;height:11px;margin-right:0.004em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0052.png" img style="width:6px;height:7px;vertical-align:-2px" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/085/0071.png" img style="width:5px;height:18px;vertical-align:-5px;margin-right:0.024em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005B.png"img style="width:13px;height:11px;margin-right:0.027em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0047.png"img style="width:3px;height:18px;vertical-align:-5px;margin-right:0.124em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005D.png"  than the previously known ones and an explicit parametrization of img style="width:9px;height:12px;margin-right:0.059em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/0053.png"img style="width:9px;height:12px;vertical-align:-4px;margin-right:0.036em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/0070.png"img style="width:7px;height:8px;margin-right:0.03em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/0065.png"img style="width:7px;height:8px;margin-right:0.03em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/0063.png"img style="width:13px;height:11px;margin-right:0.004em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0052.png" img style="width:6px;height:7px;vertical-align:-2px" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/085/0071.png" img style="width:5px;height:18px;vertical-align:-5px;margin-right:0.024em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005B.png"img style="width:13px;height:11px;margin-right:0.027em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0047.png"img style="width:3px;height:18px;vertical-align:-5px;margin-right:0.124em" src="http://cdn.mathjax.org/mathjax/2.3-latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/005D.png" .