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Original Articles

Admissible Pictures and Littlewood–Richardson Crystals

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Pages 3849-3865 | Received 25 May 2010, Published online: 14 Oct 2011

REFERENCES

  • Benkart , G. , Kang , S.-J. , Kashiwara , M. ( 2000 ). Crystal bases for the Quantum Superalgebra U q (𝔤𝔩(m, n)) . J. Amer. Math. Soc. 13 : 295 – 331 .
  • Michael Clausen and Friedrich Stötzer, Picture and Skew (Reverse) Plane Partitions. Lecture Note in Math. 969. Combinatorial Theory, pp. 100–114.
  • Michael Clausen and Friedrich Stötzer, Pictures und Standardtableaux. Bayreuth. Math. Schr. 16:1–122.
  • Sergey Fomin and Curtis Greene ( 1993 ). A Littlewood–Richardson miscellany . Europ. J. Combinatorics 14 : 191 – 212 .
  • Fulton , W. Young Tableaux. London Mathematical Society Student Text 35. Cambridge: Cambridge Univ. Press.
  • Hong , J. , Kang , S.-J. Introduction to Quantum Groups and Crystal Bases. GSM 42, American Mathematical Society.
  • James , G. D. , Peel , M. H. ( 1979 ). Specht series for skew representations of symmetric groups . J. Algebra 56 : 343 – 364 .
  • Kashiwara , M. ( 1990 ). Crystallizing 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. , Nakashima , T. ( 1994 ). Crystal graph for representations of the q-analogue of classical Lie algebras . J. Algebra 165 ( 2 ): 295 – 345 .
  • Nakashima , T. ( 1993 ). Crystal base and a generalization of the Littlewood–Richardson rule for the classical Lie algebras . Commun. Math. Phys. 154 : 215 – 243 .
  • Nakashima , T. , Shimojo , M. Pictures and Littlewood–Richardson Crystals, arXiv:09041706, to appear in Tokyo. J. Math.
  • Zelevinsky , A. V. ( 1981 ). A Generalization of the Littlewood–Richardson rule and the Robinson–Shensted–Knuth correspondence . J. Algebra 69 : 82 – 94 .
  • Communicated by K. Misra.

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