Quantum groups and double quiver algebras

Details Quantum groups and double quiver algebras Quantum groups and double quiver algebras

2005-04-24

arxiv.org/abs/math/0504493v1

Letters in Mathematical Physics (2005) 71:49-61

Mathematics

Quantum Algebra

15 pages

Scientific paper

10.1007/s11005-004-5925-4

For a finite dimensional semisimple Lie algebra ${\frak{g}}$ and a root $q$
of unity in a field $k,$ we associate to these data a double quiver
$\bar{\cal{Q}}.$ It is shown that a restricted version of the quantized
enveloping algebras $U_q(\frak g)$ is a quotient of the double quiver algebra
$k\bar{\cal Q}.$

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