Publications: Daniel K. Nakano


1)   Brauer-type reciprocity over a class of graded associative algebras (with R. Holmes),  J. Algebra,
       144 (1991), 117--126.

2)   Projective modules over Lie algebras of Cartan type, Memoirs Amer. Math. Soc.,  98  no. 470 (1992).

3)   Filtrations for periodic modules over restricted Lie algebras,  Indag. Math.,  3  no. 1 (1992), 59--68.

4)   Block degeneracy and Cartan invariants for Lie algebras of Cartan type (with R. Holmes), J. Algebra,
      161 (1993), 155--170.

5)   Homomorphisms inducing isomorphisms in Lie algebra cohomology,  J. Pure Appl. Algebra, 90
      (1993), 49--54.

6)   On the cohomology of the Witt algebra: $W(1,{\bold 1})$,  Proc. III International Conference on
      Non-associative algebra and its applications (ed. S. Gonzales), Kluwer (1994).

7)   A bound for the complexity of $G_rT$-modules,  Proc. Amer. Math. Soc., 123 (2) (1995), 335--341.

8)   On the vanishing of extensions of modules over reduced enveloping algebras (with J. Carlson and
      K.   Peters),  Math. Annalen, 302 (1995), 541--560.

9)   Algebraic group techniques in the representation and cohomology theory of Lie algebras of
      Cartan type (with Z. Lin), J. Algebra, 179 (1996), 852--888.

10)  Infinitesimal Schur algebras (with S. Doty and K. Peters),  Proc. London Math. Soc., 72 (3) (1996),
        588-612.

11)  On the construction of indecomposable modules over restricted enveloping algebras (with R.D.
        Pollack),  J. Pure Appl. Algebra, 90 (1996), 61-73.

12)  Complexity and support varieties for finite-dimensional algebras, Cont. Math., 194 (1996), 201-218.

13)  Polynomial representations of Frobenius kernels of $GL_{2}$, (with S. Doty and K. Peters), Cont.
        Math., 194 (1996), 57-67.

14)  Hopf algebras arising from the representation theory of Lie algebras of Cartan type (with Z. Lin),
        J. Algebra, 189 (1997), 529-567.

15)  Infinitesimal Schur algebras of finite representation type (with S. Doty and K. Peters),  Quart. J.
        Math. Oxford  (2) 48 (1997), 323-345.

16)  Varieties for $G_{r}T$-modules (with an appendix by J.C. Jantzen),  Proc. of Symposia in Pure
        Mathematics, (1998), 441-451.

17)  Representation theory of the Witt algebra (with J. Feldvoss), J. Algebra, 203 (1998), 447-469.

18)  Good filtrations for Hopf algebras arising from Lie algebras of Cartan type (with Z. Lin),  J. Pure
        and Appl. Algebra, 127 (1998), 231-256.

19)  Semisimplicity of Schur algebras (with S. Doty),  Math. Proc. Cambridge  Phil. Soc., 124  no. 1
        (1998), 15-20

20)  Support varieties for the Steenrod algebra (with J. Palmieri), Math. Zeit., 227 no. 4 (1998), 663-684.

21)  Representation theory of Lie algebras of Cartan type, The Monster and Lie Algebras:  Proceedings
        of a Special Research Quarter at The Ohio St. University, (ed. J. Ferrar, K. Harada), de Gruyter (1998).

22)  Complexes and vanishing of cohomology for group schemes (with C. Bendel),  J. Algebra, 214
        (1999), 668-713.

23)  Complexity for modules over finite Chevalley groups and classical Lie algebras (with Z. Lin),
         Inventiones Math., 138  (1999), 85-101.

24)  Representation type for Schur algebras (with S. Doty, K. Erdmann, S. Martin),  Math. Zeit., 232
        (1999), 137-182.

25)  Extensions of modules over Hopf algebras arising from Lie algebras of Cartan type (with
        Z. Lin),  Algebras and Rep. Theory, 3 (2000), 43-80.

26)  Blocks of finite representation type in reduced enveloping algebras of classical Lie algebras
       (with R.D. Pollack), J. London Math. Soc., 61  (2000), 374-394.

27)  Some recent developments in the representation theory of general linear and symmetric
        groups, Representations and Quantizations, Proceedings of the International Conference on
        Representation Theory (Shanghai, China), Springer-Verlag, 2000, 357-374.

28)  Relating the cohomology of the general linear group and the symmetric group (with S.R. Doty),
        Modular Representation Theory of Finite Groups, Proceedings of a Symposium at the University
        of Virginia, Walter de Gruyter, 2001, 175-187.

29)  On comparing the cohomology algebraic groups, finite Chevalley groups and Frobenius kernels
        (with C. Bendel and C. Pillen), J. Pure and Appl. Algebra, 163  (2001), 119-146.

30)  Representation type for the blocks of Category ${\Cal O}$ (with V. Futorny and R.D. Pollack),
        Quarterly J. Math. Oxford, 52 (2001), 285-305.

31)  On comparing the cohomology of general linear groups and symmetric groups (with A.S. Kleshchev),
        Pacific J. Math., 201 (2001), 339-355.

32)  Representation type of quantum Schur algebras (with K. Erdmann), Transactions of AMS, 353
       (2001), 4729-4756.

33)  Representation type of Hecke algebras (with K. Erdmann), Transactions of AMS., 354 (2002),
       275-285.

34)  Support varieties for algebraic groups (with B. Parshall and D. Vella),  J. Reine Angew. Math.,
        547  (2002), 15-49.

35)  Extensions for finite Chevalley groups II (with C. Bendel and C. Pillen), Transactions of AMS,
       354, (2002), 4421-4454.

36)   Support varieties of modules for symmetric groups (with D. Hemmer), J. Algebra, 254, (2002),
        422-440.

37)  The restricted nullcone (with J. Carlson, Z. Lin and B. Parshall), Cont. Math., 325, (2003),
        51-75.

38)  The nucleus for restricted Lie algebras (with D. Benson), Proc. of Amer. Math. Soc., 131, (2003),
        3395-3405.

39)  Extensions for Frobenius kernels (with C. Bendel and C. Pillen),  J. Algebra, 272, (2004), 476-511.

40)  Extensions of modules over Schur algebras, symmetric groups, and Hecke algebras (with S. Doty
        and K. Erdmann), Algebras and Representation Theory, 7, (2004), 67-100.

41)  Extensions for finite Chevalley groups I (with C. Bendel and C. Pillen),  Advances in Math.,
       183, (2004), 380-408.

42)  Specht filtrations for Hecke algebras of type A  (with D. Hemmer), J. London Math. Soc., 69, 
      (2004), 623-638.

43)  Varieties of nilpotent elements for simple Lie algebras I; Good Primes (with UGA VIGRE Algebra Group),
       J. Algebra, 280, (2004), 719-737.

44)  Extensions for finite groups of Lie type: Twisted Groups (with C. Bendel and C. Pillen), Finite Groups 2003
       (conference held at the University of Florida), de Gruyter, New York, 2004, 29-46.

45)  Nilpotent elements and support varieties for simple Lie algebras, Resenhas, 6, no 2/3, (2004), 281-290.

46)  Representation type of Category O_S (with B. Boe), Advances in Math., 196, (2005),  193-256.

47)  Varieties of nilpotent elements for simple Lie algebras II: Bad Primes (with UGA VIGRE Algebra Group),
       J. Algebra (computational algebra section),  292, (2005),  65-99. 

48)  On the realization of orbit closures as support varieties (with T. Tanisaki),  J. Pure and Appl. Algebra., 206,
       (2006),  66-82.

49)  Representation type of Schur superalgebras (with D. Hemmer and J. Kujawa), J. Group Theory, 9, (2006),
        283-306.
 
50)  Endotrivial modules for finite groups of Lie type (with J. Carlson and N. Mazza), J. Reine Angew. Math., 595, 
       (2006), 93-120. 

51)  Extensions for finite groups of Lie type II: Filtering the truncated induction functor (with C. Bendel and C. Pillen), 
        Cont. Math.,  413,  (2006), 1-23.  

52)  On the cohomology of Specht modules (with D. Hemmer),  J. Algebra, 306, (2006), 191-200. 

53)  Second cohomology for Frobenius kernels and related structures (with C. Bendel and C. Pillen),  Advances
       in Math., 209, (2007), 162-197.   

54)  Support varieties for Weyl modules over bad primes (with UGA VIGRE Algebra Group), J. Algebra, 312,
       (2007), 602-633.    

55)  Support varieties for modules over Chevalley groups and classical Lie algebras (with J. Carlson
        and Z. Lin), to appear in the Transactions of the AMS.

56)  Projective modules for Chevalley groups and Frobenius kernels (with Z. Lin), to appear in the Bulletin of the LMS.

57)  Category O for the Virasoro algebra: Cohomology and Koszulity (with B. Boe and E. Wiesner), to appear in
       the Pacific J. Math. 

58)  Endotrivial modules for symmetric groups (with J. Carlson and N. Mazza), to appear in Proc. Edinburgh Math. Soc. . 

59)  Cohomology and support varieties for Lie superalgebras  (with B. Boe and J. Kujawa), submitted.

60)  Cohomology and support varieties for Lie superalgebras II (with B. Boe and J. Kujawa), submitted. 

61)  Quantum group cohomology via the geometry of the nullcone  (with C. Bendel, B. Parshall and C. Pillen), submitted.

62)  On Kostant's theorem for Lie algebra cohomology (with UGA VIGRE Algebra Group), submitted.

63)  Cohomology and support varieties for the Lie superalgebra W(n) (with I. Bagci and J. Kujawa), in preparation.

64)  On extensions between Young modules (with F. Cohen and D. Hemmer), in preparation.

65)  Realizing rings of regular functions through quantum group cohomology (with Z. Lin), in preparation.

66)  Ext^1 quivers for the Lie algebra W(1,1) (with E. Wiesner and B. Boe), in preparation.