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)  Projective modules for Chevalley groups and Frobenius kernels (with Z. Lin), Bulletin of the LMS, 39, 
      
(2007), 1019-1028.

56)  Category O for the Virasoro algebra: Cohomology and Koszulity (with B. Boe and E. Wiesner), Pacific J.
      
Math., 234, (2008), 1879-1906.

57)  Support varieties for modules over Chevalley groups and classical Lie algebras (with J. Carlson and Z.
      
Lin), Transactions of the AMS., 360, (2008), 1879-1906.

58)  Endotrivial modules for symmetric groups (with J. Carlson and N. Mazza), Proc. Edinburgh Math. Soc.,
       51,
(2008), 1-22.

59)  Cohomology and support varieties for the Lie superalgebra W(n) (with I. Bagci and J. Kujawa),
      
International Math. Research Notices, doi:10.1093/imrn/rnn115, (2008).

60)  Cohomology and support varieties for Lie superalgebras II (with B. Boe and J. Kujawa), Proc. London
      
Math. Soc., 98, (2009), 19-44.

61)  On Kostant's theorem for Lie algebra cohomology (with UGA VIGRE Algebra Group), Cont. Math., 478,
      
(2009), 39-60.

62)  Ext1-quivers for the Witt algebra W(1,1) (with B. Boe and E. Wiesner), J. Algebra, 322, (2009),
      1548-1564.

63)  An analog of Kostant's theorem for the cohomology of quantum groups (with UGA VIGRE Algebra Group),
      
Proceedings of the AMS, 138, (2010), 85-99.  

64)  Cohomology and support varieties for Lie superalgebras  (with B. Boe and J. Kujawa), Transactions of
       the
AMS, 362, (2010), 6551-6590. 

65)  On extensions between Young modules for symmetric groups (with F. Cohen and D. Hemmer), Advances
       in
Mathematics, 224, (2010), 1419-1461.

66)  Complexity and module varieties for classical Lie superalgebras (with B. Boe and J. Kujawa),
      
International Math. Research Notices, (2011), 696-724. 

67)  Endotrivial modules for finite group schemes (with J. Carlson), J. Reine Angew. Math., 653, (2011),
      
149-178.

68)  Detecting cohomology for Lie superalgebras (with G. Lehrer and R. Zhang), Advances in Mathematics,    
       228, (2011), 2098-2115.

69)  On the vanishing ranges for the cohomology of finite groups of Lie type I (with C. Bendel and C. Pillen),
      
International Math. Research Notices, doi:10.1093/imrn/rnr30, (2011).

70)  On support varieties for Demazure modules (with B. Jones), J. Australian Math. Soc., 91, (2011),                      343-363. 

71)  Endotrivial modules for finite groups schemes II (with J. Carlson), Bulletin of the Institute of
      Mathematics Academia Sinica, 7, (2012), 271-289. 

72)  Differentiating Weyl's generic dimension fomula and support varieties for irreducible modules (with C.
      
Drupieski and B. Parshall), Advances in Mathematics, 229, (2012), 2656-2668. 

73)  Second cohomology for finite groups of Lie type (with UGA VIGRE Algebra Group), Journal of Algebra,
       360, (2012), 21-52.  

74)  Cohomology for infinitesimal unipotent algebraic and quantum groups (with C. Drupieski and N. Ngo),
      
Transformation Groups, 17, (2012), 329-416. 

75)  Cohomology of algebraic groups, finite groups, and Lie algebras: Interactions and Connections, Lie
       Theory and Representation Theory, Survey of Modern Mathematics Volume II (edited by N. Hu, B. Shu,
       J.P. Wang), International Press, 2012, PP. 151-176. 

76)  On the vanishing ranges for the cohomology of finite groups of Lie type II (with C. Bendel and C. Pillen),
      
Proc. Symp. Pure Math., 86, (2012), 25-73. 

77)  Complexity for modules over the classical Lie superalgebra gl(m|n) (with B. Boe and J. Kujawa),
       Compositio Math., 148, (2012), 1561-1592.

78)  First cohomology of finite groups of Lie type: simple modules with small dominant weights (with UGA
      
VIGRE Algebra Group), Transactions of the AMS, 365, (2013), 1025-1050.

79)  Quantum group cohomology via the geometry of the nullcone  (with C. Bendel, B. Parshall and C. Pillen),
      
Memoirs Amer. Math. Soc., 229, no 1077 (2014).

80)  Extensions for finite Chevalley groups III: Rational and generic cohomology (with C. Bendel and          
       C. Pillen), Advances in Mathematics, 262, (2014), 484-519.

81)  On the structure of cohomology rings of p-nilpotent Lie algebras (with J. Carlson), Transformation
       Groups, 19, (2014), 721-734.

82)  Bounding the dimensions of rational cohomology groups (with C. Bendel, B. Boe, C. Drupieski,
       B. Parshall, C. Pillen, and C. Wright), Current Developments and Retrospectives in Lie Theory:
       Algebraic Methods, Developments in Mathematics (edited by G. Mason, I. Penkov, J.A. Wolf),
       Springer-Verlag, 2014, 51-69.

83)  Endotrivial modules for the general linear group in a non-defining characteristic (with J. Carlson,
       N. Mazza), Math. Zeit., 278, (2014), 901-925.

84)  On good (p,r)-filtrations for rational G-modules (with T. Kildetoft), J. Algebra, 423, (2015), 702-725.

85)  Bounding extensions for finite groups and Frobenius kernels (with C. Bendel, B. Parshall, C. Pillen,
       L. Scott and D. Stewart), to appear in Algebras and Representation Theory.

86)  Tensor triangulated geometry for classical Lie superalgebras (with B. Boe, J. Kujawa), submitted.

87)  Third cohomology for Frobenius kernels and related structures (with C. Bendel and C. Pillen), submitted.

88)  Bilinear and quadratic forms for rational modules of split reductive groups (with S. Garibaldi), submitted.

89)  The Lie module and its complexity (with F. Cohen and D. Hemmer), submitted.

90)  Endotrivial modules for finite groups of Lie type A in the non-defining characterstic (with J. Carlson and
       N. Mazza), submitted.

91)  Realizing rings of regular functions through quantum group cohomology (with Z. Lin), preprint.










 
 
 
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