Article

Letters in Mathematical Physics

, Volume 24, Issue 2, pp 93-102

First online:

Quantized universal enveloping superalgebra of type Q and a super-extension of the Hecke algebra

  • G. I. OlshanskiAffiliated withInstitute for Problems of Information Transmission, GSP-4

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Abstract

The quantized universal enveloping algebra U q(q(n)) of the ‘strange’ 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).

Mathematics Subject Classifications (1991)

17A70 17B35 81R50