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Original Articles

Monomial Realization of the Tensor Product of Crystals for Quantum Finite Algebras

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Pages 3120-3136 | Received 19 Jan 2012, Published online: 13 Mar 2014

REFERENCES

  • Hong , J. , Kang , S.-J. ( 2002 ). Introduction to Quantum Groups and Crystal Bases. Graduate Studies in Mathematics. Vol. 42. Amer. Math. Soc .
  • Kang , S.-J. , Kim , J.-A. , Shin , D.-U. ( 2004 ). Monomial realization of crystal bases for special linear Lie algebras . J. Algebra 274 : 629 – 642 .
  • Kang , S.-J. , Kim , J.-A. , Shin , D.-U. ( 2004 ). Crystal bases for quantum classical algebras and Nakajima's monomials . Publ. Res. Inst. Math. Sci. 40 : 758 – 791 .
  • Kang , S.-J. , Misra , K. C. ( 1994 ). Crystal bases and tensor product decompositions of U q (G 2)-modules . J. Algebra 163 : 675 – 691 .
  • Kashiwara , M. ( 1990 ). Crystalizing the q-analogue of universal enveloping algebras . Comm. Math. Phys. 133 : 249 – 260 .
  • Kashiwara , M. ( 1991 ). On crystal bases of the q-analogue of universal enveloping algebras . Duke Math. J. 63 : 465 – 516 .
  • Kashiwara , M. ( 2003 ). Realizations of Crystals, Contemp. Math., Vol. 325. Amer. Math. Soc., pp. 133–139 .
  • Kashiwara , M. , Nakashima , T. ( 1994 ). Crystal graphs for representations of the q-analogue of classical Lie algebras . J. Algebra 165 : 295 – 345 .
  • Kim , J.-A. ( 2005 ). Monomial realization of crystal graphs for . Math. Ann. 332 : 17 – 35 .
  • Nakajima , H. ( 2001 ). Quiver varieties and finite dimensional representations of quantumn affine algebras . J. Amer. Math. Soc. 14 : 145 – 238 .
  • Nakajima , H. ( 2001 ). t-Analogue of the q-Characters of Finite Dimensional Representations Of Quantum Affine Algebras. Physics and Combinatorics, World Scientific, pp. 195–218 .
  • Nakajima , H. ( 2003 ). t-analogs of q-characters of Quantum Affine Algebras of Type A n , D n . Contemp. Math. Vol. 325. Amer. Math. Soc., pp. 141–160 .
  • Shin , D.-U. ( 2006 ). Crystal bases and monomials for U q (G 2)-modules . Comm. Algebra 34 : 129 – 142 .
  • Communicated by K. Misra.

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