\documentclass{amsbook}
\usepackage{amsrefs}
\providecommand{\cyr}{}
\providecommand{\cprime}{\textprime}
\providecommand{\germ}{\mathfrak }

\begin{document}
\begin{bibdiv}
\begin{biblist}

\bib{MR58:27738}{book}{
    author={Andrews, G.~E.},
     title={The theory of partitions},
 publisher={Encyclopedia of Mathematics and its Applications, Vol. 2,
  Addison-Wesley, Mass.-London-Amsterdam},
      date={1976},
}

\bib{MR90b:82001}{book}{
    author={Baxter, R.~J.},
     title={Exactly solved models in statistical mechanics},
 publisher={Academic Press Inc.},
   address={London},
      date={1989},
      ISBN={0-12-083182-1},
}

\bib{MR1451594}{article}{
    author={Benkart, G.},
    author={Kang, S.-J.},
    author={Melville, D.},
     title={Quantized enveloping algebras for Borcherds superalgebras},
      date={1998},
      ISSN={0002-9947},
   journal={Trans. Amer. Math. Soc.},
    volume={350},
    number={8},
     pages={3297\ndash 3319},
}

\bib{MR95d:17023}{article}{
    author={Benkart, G.},
    author={Kang, S.-J.},
    author={Misra, K.~C.},
     title={Indefinite Kac-Moody algebras of classical type},
      date={1994},
      ISSN={0001-8708},
   journal={Adv. Math.},
    volume={105},
    number={1},
     pages={76\ndash 110},
}

\bib{MR93d:17017}{article}{
    author={Chari, V.},
    author={Pressley, A.},
     title={Quantum affine algebras},
      date={1991},
      ISSN={0010-3616},
   journal={Comm. Math. Phys.},
    volume={142},
    number={2},
     pages={261\ndash 283},
}

\bib{MR26:2519}{book}{
    author={Curtis, Charles~W.},
    author={Reiner, Irving},
     title={Representation theory of finite groups and associative algebras},
 publisher={Interscience Publishers, a division of John Wiley \& Sons, New
  York-London},
      date={1962},
    review={\MR{26 \#2519}},
}

\bib{Dr86}{incollection}{
    author={Drinfel$'$d, V.~G.},
     title={Quantum Groups},
      date={1987},
 booktitle={Proceedings of the International Congress of Mathematicians
  (Berkeley, 1986)},
 publisher={American Mathematical Society, Providence},
     pages={798\ndash 820},
}

\bib{MR94d:17032}{article}{
    author={Feingold, A.~J.},
    author={Frenkel, I.~B.},
    author={Ries, J.~F.~X.},
     title={Representations of hyperbolic Kac-Moody algebras},
      date={1993},
      ISSN={0021-8693},
   journal={J. Algebra},
    volume={156},
    number={2},
     pages={433\ndash 453},
}

\bib{MR84f:17004}{article}{
    author={Frenkel, I.~B.},
    author={Kac, V.~G.},
     title={Basic representations of affine Lie algebras and dual resonance
  models},
      date={1981},
      ISSN={0020-9910},
   journal={Invent. Math.},
    volume={62},
    number={1},
     pages={23\ndash 66},
}

\bib{Gould}{article}{
    author={Gould, M.~D.},
    author={Zhang, R.~B.},
    author={Bracken, A.~J.},
     title={Quantum double construction for graded Hopf algebras},
      date={1993},
   journal={Bull. Austral. Math. Soc.},
    volume={47},
     pages={353\ndash 375},
}

\bib{MR1633090}{article}{
    author={Hong, J.},
    author={Kang, S.-J.},
    author={Miwa, T.},
    author={Weston, R.},
     title={Mixing of ground states in vertex models},
      date={1998},
      ISSN={0305-4470},
   journal={J. Phys. A},
    volume={31},
    number={28},
     pages={L515\ndash L525},
}

\bib{Jac1}{book}{
    author={Jacobson, N.},
     title={Basic algebra II},
 publisher={W. H. Freeman and Company},
   address={San Francisco},
      date={1980},
      ISBN={0-7167-1079-X (v. 2)},
}

\bib{MR98k:17037}{article}{
    author={Jeong, K.},
    author={Kang, S.-J.},
    author={Lee, H.},
     title={Lie-admissible algebras and Kac-Moody algebras},
      date={1997},
      ISSN={0021-8693},
   journal={J. Algebra},
    volume={197},
    number={2},
     pages={492\ndash 505},
}

\bib{Joseph}{book}{
    author={Joseph, A.},
     title={Quantum groups and their primitive ideals},
 publisher={Springer-Verlag},
   address={Berlin},
      date={1995},
      ISBN={3-540-57057-8},
}

\bib{Kac90}{book}{
    author={Kac, V.~G.},
     title={Infinite dimensional Lie algebras},
   edition={3},
 publisher={Cambridge University Press},
   address={Cambridge},
      date={1990},
      ISBN={0-521-37215-1; 0-521-46693-8},
}

\bib{KMW}{incollection}{
    author={Kac, V.~G.},
    author={Moody, R.~V.},
    author={Wakimoto, M.},
     title={On ${E}\sb {10}$},
      date={1988},
 booktitle={Differential geometrical methods in theoretical physics (Como,
  1987)},
 publisher={Kluwer Acad. Publ.},
   address={Dordrecht},
     pages={109\ndash 128},
}

\bib{Ka93-1}{article}{
    author={Kang, S.-J.},
     title={Root multiplicities of the hyperbolic Kac-Moody Lie algebra
  $HA\sp{(1)}\sb 1$},
      date={1993},
      ISSN={0021-8693},
   journal={J. Algebra},
    volume={160},
    number={2},
     pages={492\ndash 523},
}

\bib{MR94d:17033}{article}{
    author={Kang, S.-J.},
     title={On the hyperbolic Kac-Moody Lie algebra $HA\sb 1\sp
  {(1)}$},
      date={1994},
      ISSN={0002-9947},
   journal={Trans. Amer. Math. Soc.},
    volume={341},
    number={2},
     pages={623\ndash 638},
}

\bib{MR97e:17041}{incollection}{
    author={Kang, S.-J.},
     title={Root multiplicities of graded Lie algebras},
      date={1996},
 booktitle={Lie algebras and their representations (Seoul, 1995)},
 publisher={Amer. Math. Soc.},
   address={Providence, RI},
     pages={161\ndash 176},
}

\bib{MR1641035}{article}{
    author={Kang, S.-J.},
    author={Kashiwara, M.},
     title={Quantized affine algebras and crystals with core},
      date={1998},
      ISSN={0010-3616},
   journal={Comm. Math. Phys.},
    volume={195},
    number={3},
     pages={725\ndash 740},
}

\bib{MR93g:17027}{article}{
    author={Kang, S.-J.},
    author={Kashiwara, M.},
    author={Misra, K.~C.},
    author={Miwa, T.},
    author={Nakashima, T.},
    author={Nakayashiki, A.},
     title={Vertex models and crystals},
      date={1992},
      ISSN={0764-4442},
   journal={C. R. Acad. Sci. Paris S\'er. I Math.},
    volume={315},
    number={4},
     pages={375\ndash 380},
}

\bib{MR1464137}{article}{
    author={Kang, S.-J.},
    author={Kim, M.-H.},
     title={Borcherds superalgebras and a monstrous Lie superalgebra},
      date={1997},
      ISSN={0025-5831},
   journal={Math. Ann.},
    volume={307},
    number={4},
     pages={677\ndash 694},
}

\bib{MR95f:17013}{article}{
    author={Kang, S.-J.},
    author={Misra, K.~C.},
     title={Crystal bases and tensor product decompositions of $U\sb q(G\sb
  2)$-modules},
      date={1994},
      ISSN={0021-8693},
   journal={J. Algebra},
    volume={163},
    number={3},
     pages={675\ndash 691},
}

\bib{Kash90}{article}{
    author={Kashiwara, M.},
     title={Crystalizing the $q$-analogue of universal enveloping algebras},
      date={1990},
   journal={Comm. Math. Phys.},
    volume={133},
     pages={249\ndash 260},
}

\bib{Keng82}{book}{
    author={Keng, H.~L.},
     title={Introduction to number theory},
 publisher={Springer-Verlag},
      date={1982},
}

\bib{Wang}{article}{
    author={Li, W.~L.},
     title={Classification of generalized Cartan matrices of hyperbolic
  type},
      date={1988},
   journal={Chinese Ann. Math. Ser. B},
    volume={9},
    number={1},
     pages={68\ndash 77},
}

\bib{MR98a:20041}{incollection}{
    author={Littelmann, P.},
     title={An effective method to classify nilpotent orbits},
      date={1996},
 booktitle={Algorithms in algebraic geometry and applications (Santander,
  1994)},
 publisher={Birkh\"auser},
   address={Basel},
     pages={255\ndash 269},
}

\bib{MR2000d:17019}{article}{
    author={Littelmann, P.},
     title={Bases canoniques et applications},
      date={1998},
      ISSN={0303-1179},
   journal={Ast\'erisque},
    number={252},
     pages={Exp.\ No.\ 847, 5, 287\ndash 306},
      note={S\'eminaire Bourbaki. Vol.\ 1997/98},
}

\bib{MR92d:16032}{article}{
    author={Littelmann, P.},
    author={Procesi, C.},
     title={On the Poincar\'e series of the invariants of binary forms},
      date={1990},
      ISSN={0021-8693},
   journal={J. Algebra},
    volume={133},
    number={2},
     pages={490\ndash 499},
}

\bib{MR92g:20067}{incollection}{
    author={Littelmann, Peter},
     title={Good filtrations, decomposition rules and standard monomial
  theory},
      date={1991},
 booktitle={Computational aspects of Lie group representations and related
  topics (Amsterdam, 1990)},
 publisher={Math. Centrum Centrum Wisk. Inform.},
   address={Amsterdam},
     pages={89\ndash 106},
}

\bib{MR92b:14027}{incollection}{
    author={Littelmann, Peter},
    author={Procesi, Claudio},
     title={Equivariant cohomology of wonderful compactifications},
      date={1990},
 booktitle={Operator algebras, unitary representations, enveloping algebras,
  and invariant theory (Paris, 1989)},
 publisher={Birkh\"auser Boston},
   address={Boston, MA},
     pages={219\ndash 262},
}

\bib{MR94m:17016}{book}{
    author={Lusztig, G.},
     title={Introduction to quantum groups},
 publisher={Birkh\"auser Boston Inc.},
   address={Boston, MA},
      date={1993},
      ISBN={0-8176-3712-5},
}

\bib{Nak96}{article}{
    author={Nakayashiki, A.},
     title={Fusion of the $q$-vertex operators and its applications
            to solvable vertex models},
      date={1996},
      ISSN={0010-3616},
   journal={Commun. Math. Phys.},
    volume={177},
    number={2},
     pages={27\ndash 62},
}

\bib{Rob}{article}{
    author={Robinson, D.},
     title={On representations of the symmetric group},
      date={1938},
   journal={Amer. J. Math.},
    volume={60},
     pages={745\ndash 760},
}

\bib{Ser77}{book}{
    author={Serre, J.-P.},
     title={Linear representations of finite groups},
 publisher={Springer-Verlag},
      date={1977},
}

\bib{Weyl}{book}{
    author={Weyl, H.},
     title={Classical groups},
   edition={2},
 publisher={Princeton University Press},
      date={1946},
}

\bib{Young4}{article}{
    author={Young, A.},
     title={On quantitative substitutional analysis IV},
      date={1929},
   journal={Proc. Lond. Math. Soc. (2)},
    volume={31},
     pages={253\ndash 272},
}

\end{biblist}
\end{bibdiv}
\end{document}
