Article:Math.QA/0002060/unidentified-references
From Knot Atlas
Jump to navigationJump to search
{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.
