抄録
The Shapovalov determinant for a class of pointed Hopf algebras is calculated, including quantized enveloping algebras, Lusztig's small quantum groups, and quantized Lie superalgebras. Our main tools are root systems, Weyl groupoids, and Lusztig type isomorphisms. We elaborate powerful novel techniques for the algebras at roots of unity, and pass to the general case using a density argument.
| 本文言語 | 英語 |
|---|---|
| ページ（範囲） | 107-146 |
| ページ数 | 40 |
| ジャーナル | Revista de la Union Matematica Argentina |
| 巻 | 51 |
| 号 | 2 |
| 出版ステータス | 出版済み - 2010 |
ASJC Scopus 主題領域
- 数学一般