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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References
Bergman, G. M., Adv. in Math. 29, 178 (1978).
Drinfeld, V. G., in Proc. Intern. Congr. Math., Berkeley, vol. 1, Academic Press, New York, 1987, pp. 798–820.
Drinfeld, V. G., in Quantum Groups (Proc. Conf. held in Euler Intern. Math. Inst., Leningrad, 1990), to appear in Springer Lect. Notes Math.
Gould, M. D., Zhang, R. B., and Bracken, A. J., Rev. Math. Phys. 3, 223 (1991).
Jimbo, M., Lett. Math. Phys. 11, 247 (1986).
Nazarov, M. L., in the same collection as [3].
Penkov, I. B., Functional Anal. Appl. 20, 30 (1986).
Reshetikhin, N. Yu., Takhtajan, L. A., and Faddeev, L. D., Leningrad Math. J. 1, 193 (1990).
Sergeev, A. N., Functional Anal. Appl. 18(1), 70 (1984).
Sergeev, A. N., Math. USSR—Sb. 51, 419 (1985).
Takeuchi, M., J. Math. Soc. Japan 42, 605 (1990).
Weyl, H., The Classical Groups. Their Invariants and Representations, Princeton Univ. Press, Princeton, NJ, 1939.
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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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DOI: https://doi.org/10.1007/BF00402673