TY  - BOOK
AB  - For any finite-dimensional algebra over a finite field, the corresponding Hall algebra has been introduced in order to handle the possible filtrations of modules with fixed factors. For the path algebra of a Dynkin diagram with a fixed orientation, it has been shown that the Hall algebra satisfies relations which are similar to the Drinfeld-Jimbo relations defining quantum groups, but they depend on the chosen orientation. The purpose of this note is to adjust the multiplication of a Hall algebra in order to obtain the Drinfeld-Jimbo relations themselves. The additional factor introduced in our change of multiplication involves the Euler characteristic, in this way we eliminate the dependence on the orientation.
DA  - 1992
LA  - eng
PY  - 1992
TI  - Hall algebras revisited
UR  - https://nbn-resolving.org/urn:nbn:de:0070-bipr-19891
Y2  - 2024-11-22T04:14:50
ER  -