Drinfel'd doubles and Shapovalov determinants
- Autores: I. Heckenberger, H. Yamane
- Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 51, Nº. 2, 2010, págs. 107-146
- Idioma: inglés
- Enlaces
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Resumen
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
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