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Constructing Quantum Groups and Hopf Algebras from Coverings

✍ Scribed by E.L. Green

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
910 KB
Volume
176
Category
Article
ISSN
0021-8693

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✦ Synopsis

Given a group-graded free associative algebra, we show that in many cases the path algebra associated to the covering coming from the grading has a Hopf algebra structure. Our structure on the path algehra is that of a quantum group for most of these constructions. Adding more restrictions, we create some finite-dimensional quotients which inherit the structure of a Hopf algebra, usually a quantum group, from the path algebra. ic: 1945 Academic Press, Inc.

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