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A Multi-Parameter Reduced Deformation of U(sl(r))

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Abstract

A multi-parameter reduced deformation of U(sl(m+n)) is constructed. This deformation has both the usual reduced q-analogue of U(sl(m+n)) and the reduced q-analogue of U(sl(m,n)) as its special quotients.

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References

  1. Floreanini, R., Leites, D. A. and Vinet, L.: On the defining relations of quantum superalgebras Lett. Math. Phys. 23 (1991), 127-131.

    Google Scholar 

  2. Floreanini, R., Spiridonov, V. P. and Vinet, L.: q-Oscillator realizations of the quantum superalgebras slq (m; n) and ospq (m; 2n), Comm. Math. Phys. 137 (1991), 149-160.

    Google Scholar 

  3. Kac, V.: Lie superalgebras, Adv. Math. 26 (1977), 8-96.

    Google Scholar 

  4. Kac, V.: Representations of classical Lie superalgebras, in: Lecture Notes in Math. 676, Springer, Berlin, 1977, pp. 579-626.

  5. Kashiwara, K.: On crystal bases of the q-analogue of universal enveloping algebras, Duke Math. J. 63(2) (1991), 465-516.

    Google Scholar 

  6. Scheunert, M.: Serre-type relations for special linear Lie superalgebras, Lett. Math. Phys. 24 (1992), 173-181.

    Google Scholar 

  7. Scheunert, M: The presentation and q deformation of special linear Lie superalgebras, J. Math. Phys. 34(8) (1993), 3780-3808.

    Google Scholar 

  8. Zou, Y. M.: Deformations of contragredient Lie superalgebras and PBW bases, Preprint (1995).

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Ming Zou, Y. A Multi-Parameter Reduced Deformation of U(sl(r)). Letters in Mathematical Physics 42, 329–335 (1997). https://doi.org/10.1023/A:1007424217215

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  • DOI: https://doi.org/10.1023/A:1007424217215

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