Gilligan, Bruce. <br/><br/>
Symmetries in Complex Analysis. 

 - 1st ed. 
 - 1 online resource (242 pages) 
 - Contemporary Mathematics ;  v.468 .
 - Contemporary Mathematics .
<br/><br/>Intro -- Contents -- Preface -- Reproducing kernels in representation theory -- Introduction -- 1. Classical Bergman, Hardy, and Fock spaces -- 2. Elementary geometric representation theory -- 3. Reproducing kernels on vector bundles -- 4. Applications -- 5. Outlook -- References -- Actions of complex Lie groups and the Borel-Weil correspondence -- 1. Lie group actions -- 2. Structure of Lie algebras and Lie groups -- 3. Homogeneous manifolds and representations -- References -- On complex automorphisms and holomorphic equivalence of domains -- Introduction -- 1. Bounded domains in Cn -- 2. Kobayashi hyperbolicity -- 3. Pseudoconvex domains -- 4. Completely circular domains -- Exceptional symmetric domains -- Introduction -- 1. Cayley algebras -- 2. Exceptional Jordan triple systems -- 3. The exceptional symmetric domains -- References -- Seiberg-Witten equations and pseudoholomorphic curves -- Index. 
<br/><br/><label>ISBN: </label>9780821881477 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematical analysis -- Congresses.<br/>Symmetry (Mathematics) -- Congresses.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA299.6 -- .W67 2005eb 
<br/><br/><label>Dewey Class. No.: </label>515