Liberation of orthogonal Lie groups - Mathematics > Quantum AlgebraReportar como inadecuado




Liberation of orthogonal Lie groups - Mathematics > Quantum Algebra - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We show that under suitable assumptions, we have a one-to-one correspondencebetween classical groups and free quantum groups, in the compact orthogonalcase. We classify the groups under correspondence, with the result that thereare exactly 6 of them: $O n,S n,H n,B n,S n-,B n-$. We investigate therepresentation theory aspects of the correspondence, with the result that for$O n,S n,H n,B n$, this is compatible with the Bercovici-Pata bijection.Finally, we discuss some more general classification problems in the compactorthogonal case, notably with the construction of a new quantum group.



Autor: Teodor Banica, Roland Speicher

Fuente: https://arxiv.org/







Documentos relacionados