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

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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).

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Olshanski, G.I. Quantized universal enveloping superalgebra of type Q and a super-extension of the Hecke algebra. Lett Math Phys 24, 93–102 (1992). https://doi.org/10.1007/BF00402673

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