We determine which nilpotent orbits in $E_6$ have normal closure and which do
not. We also verify a conjecture about small representations in rings of
functions on nilpotent orbit covers for type $E_6$.Comment: 13 page

Sommers, Eric

English

arXiv

This is the pre-published version harvested from ArXiv. The published version is located at



http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WH2-490RD28-G&_user=1516330&_coverDate=12%2F01%2F2003&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1661986157&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=22fcf94f023ed6f60d2cc6053ce0feb7&searchtype=aWe determine which nilpotent orbits in E6 have closures which are normal varieties and which do not. At the same time we are able to verify a conjecture in [E. Sommers, Comm. Math. Univ. Sancti Pauli 49 (1) (2000) 101–104] concerning functions on non-special nilpotent orbits for E6.288-30

Sommers, E

ScholarWorks@UMass Amherst