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Quantized universal enveloping superalgebra of type Q and a super-extension of the Hecke algebra
Authors:G I Olshanski
Institution:(1) Institute for Problems of Information Transmission, GSP-4, ul. Ermolovoy 19, 101447 Moscow, Russia
Abstract:The quantized universal enveloping algebra U q(q(n)) of the lsquostrangersquo Lie superalgebra q(n) and a super-analogue HC q (N) of the Hecke algebra H q (N) are constructed. These objects are in a duality similar to the known duality between U q (gl(n)) and H q (N).
Keywords:17A70  17B35  81R50
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