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Home > Archive>Volume 43, Issue 4, 2015 >0639. DOI:10.11908/j.issn.0253-374x.2015.04.023
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The generators and relations for affine Schur algebra SΔ(2,3)Q
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    [1] Deng B B, Du J, Fu Q. A Double Hall Algebra Approach to A?ne Quantum Schur-Weyl Theory[C]// London Mathematical Society Lecture Note Series 401. New YorK: Cambridge University Press, 2012.
    [2] Doty S, Giaquinto A. Presenting Schur algebras. International Mathematics Research Notices IMRN 2002, 36: 1907-1944.
    [3] Doty S, Green R M. Presenting a?ne q-Schur algebras. Math. Z. 2007, 256:311–345.
    [4] Du J, Fu Q. A modi?ed BLM approach to quantum a?ne gl . Math. Z. 2010, n 266:747-781.
    [5] Du J, Fu Q. Small representations for a?ne q-Schur algebras. preprint, 2012.
    [6] Du J,Parshall B, Monomial bases for q-Schur algebras, Trans. Amer. Math. Soc. 2003,355: 1593–1620.
    [7] Fu Q. Integral a?ne Schur-Weyl reciprocity. Advances in Mathematics, 2013,243:1- 21.
    [8] Fu Q. Blocks of a?ne quantum Schur algebras. preprint, 2013.
    [9] V. Ginzburg,E. Vasserot. Langlands reciprocity for a?ne quantum groups of type A . Internat. Math. Res. Notices 1993, 67–85.
    [10] Green R M. The a?ne q-Schur algebra. J. Algebra, 1999, 215:379–411.
    [11] McGerty K. Generalized q-Schur algebras and quantum Frobenius. Adv. Math. 214 (2007), 116–131.
    [12] Kac V. In?nite dimensional lie algebras. 3rd edn, Cambridge University Press, Cambridge,1990.
    [13] G. Lusztig. Aperiodicity in quantum a?ne gl . Asian J. Math.,1999,3:147-177.
    [14] Yang D. On the a?ne Schur algebra of type A. Comm. Algebra, 2009,37:1389–1419.
    [15] Varagnolo M, Vasserot E. On the decomposition matrices of the quantized Schur algebra. Duke Math. J., 1999,100:267–297.
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LIU Mingqiang, PU Yanmin. The generators and relations for affine Schur algebra SΔ(2,3)Q[J].同济大学学报(自然科学版),2015,43(4):0639~

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History
  • Received:May 22,2014
  • Revised:January 08,2015
  • Adopted:December 29,2014
  • Online: April 20,2015
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