Article:Math.QA/0002060/unidentified-references

 {abcd 99}   

 S.Ariki, On the decomposition numbers of the Hecke  algebra of $G(m,1,n),$ \emph{J. Math. Kyoto Univ.} {\bf 36} (1996),  no. 4, 789-808.   

 J.L.Alperin, Local Representation Theory, Cambridge  studies in advanced math. v.11, Cambridge University Press, 1986.   

 M.Auslander, Rational singularities and almost split  sequences, \emph{Trans. Amer. Math. Soc.} {\bf 293} (1986), 511-531.   

 A. Beilinson, V. Ginzburg and W. Soergel,  Koszul duality patterns in representation theory, {\it Journal of  the AMS} {\bf 9}, 2 (1996), 473-527.   

 C.W.Curtis and I.Reiner, Representation theory of  finite groups and associative algebras. Pure and Applied Mathematics,  Vol XI {\it Interscience Publishers, New York-London,} 1962.   

 K.Erdmann, Blocks of Tame Representation Type and Related  Algebras, {\it Lect. Notes in Math.} {\bf 1428}, Springer-Verlag.   

 W.Feit, The representation theory of finite groups,  {\it North-Holland Mathematical Library, 25.} North-Holland, 1982.   %

 I.M.Gelfand and V.A.Ponomarev,  %Model algebras and representations of graphs, \emph{Funct. anal.  %and appl.} {\bf 13}, (1980), 157-166.   

 G.Gonzalez-Springer and J.-L.Verdier,  Construction g\'eom\'etrique de la correspondance de McKay,  \emph{A.. Sci. Ecole Sup.,} {\bf 16} n.3, (1983) 410-449.   %

 D.Happel, Triangulated categories in the representation  %theory of finite dimensional algebras, {\it London Math. Soc. Lect. Note  %Ser.,} 119, 1998.   

 G.Hiss, K.Lux, Brauer trees of sporadic groups, Oxford  University Press, 1989.   

 J.C.Jantzen, Lectures on Quantum Groups,   {\it Graduate studies in mathematics, v.6,} 1996.   

 M.Kashiwara, On crystal bases of the $q$-analogue of  universal enveloping algebras, {\it Duke Math. J.,} 63, (1991), no.2,  465--516.   


 M.Khovanov, How to categorify finite-dimensional  irreducible representations of quantum $\mf{sl}_2,$ in preparation.   


 H.Kn\"orrer, Group representations and the resolution of  rational double points, \emph{Finite groups--coming of age (Montreal,  Que., 1982),} Contemp. Math. 45, 175-222.   

 S.K\"{o}nig, A.Zimmermann, Derived equivalences for  group rings, {\it Lecture Notes in Math. 1685,} (1998), Springer-Verlag.    

 B.Kostant, The McKay correspondence, the Coxeter  element and representation theory, Ast\'{e}risque, hors s\'{e}rie,   {\it \'{E}lie Cartan et les math\'{e}matiques d'aujourd'hui,}  (1985), 209-255.   

 K.Lamotke, Regular solids and isolated singularities,  \emph{Advanced Lectures in Math.} 1986.   

 A.Lascoux, B.Leclerc and J.-Y.Thibon,  Hecke algebras at roots of unity and crystal bases of quantum  affine algebras, \emph{Comm. Math. Phys.} {\bf 181}, no.1 (1996),  205-263.   

 M.Loupias, Representations indecomposables de  dimension finie des algebres de Lie, {\it Manuscripta Math.} { \bf 6},  (1972) 365-379.   

 G.Lusztig, Canonical bases arising from quantized  enveloping algebras, {\it Journal of the AMS,} 3, (1990), 447--498.    

 G.Lusztig, Introduction to quantum groups, Birkhauser,  Boston, 1993.   

 G.Lusztig and J.Tits, The inverse of a Cartan  matrix, {\it An. Univ. Timi\verb+\+c soara Ser. \verb+\+c  Stiin\verb+\+c t. Mat.} {\bf 30} (1992), no.1, 17-23.   

 J.McKay, Graphs, singularities and finite groups,  {\it Proc. Sympos. Pure Math.} {\bf 37}, AMS, Providence, RI, 1980,  183-186.   

 R.Mart\'{\i}nez-Villa, Application of Koszul algebras:  the preprojective algebra, in \emph{Representation theory of algebras,}  Canadian Mathematical Society Conference Proceedings, vol. 18, 1998,  487-504.   

 H.Nakajima, Instantons on ALE spaces, quiver varieties  and Kac-Moody algebras, {\it Duke Math. J.} {\bf 76}, (1994) 2, 365-416.   

 I.Reiten, Dynkin diagrams and the representation theory  of algebras, \emph{Notices of the AMS} {\bf 44}, 5 (1997), 546-556.   

 J.Rickard, Derived categories and stable equivalence,  {\it J. of Pure and Appl. Alg.} {\bf 61} (1989), 303--317.   

 J.Rickard, Splendid equivalences: derived categories  and permutation modules. {\it Proc. London Math. Soc.(3),} {\bf 72} (1996),  no. 2, 331--358.   

 R.Rouquier, Travaux de recherches. Repr\'esentations et  cat\'egories d\'eriv\'ees, 1998,  available from  http://www.math.jussieu.fr/$\tilde{\hspace{0.05in}}$rouquier/.  

 R.Rouquier and A.Zimmermann, Picard groups for  derived module categories, preprint, 1998, available from  http://www.math.jussieu.fr/$\tilde{\hspace{0.05in}}$rouquier/.   


 T.A.Springer, Poincar\'{e} series of binary polyhedral  groups and McKay's correspondence, {\it Math. Ann.} {\bf 278}  (1987), n.1-4, 99-116.   

 H.Tachikawa, Representations of trivial extensions of hereditary algebras, {\it Lecture Notes in Math.} 832, 579--599.   


 H.Yamane, On representation theories of Iwahori-Hecke algebras $Hq(W)$ at roots of unity, in \emph{Quantum groups, integrable statistical  models and knot theory,} ed. M.L.Ge and H.J. de Vega, World Scientific,  1993, 319-342.