Papers by Richard G. Larson

  1. (with Peter Sellers and Ruben Meyer), Simulation and analysis of biochemical systems II. Solution of differential equations, Comm. ACM 5(1962), 63-65.
  2. Cocommutative Hopf algebras, Canad. J. Math. 19(1967), 350-360.
  3. Group rings over Dedekind domains, J. Algebra 5(1967), 358-361.
  4. Group rings over Dedekind domains II, J. Algebra 7(1967), 278-279.
  5. The order of the antipode of a Hopf algebra, Proc. Amer. Math. Soc. 21(1969), 167-170.
  6. (with M. E. Sweedler), An associative orthogonal bilinear form for Hopf algebras, Amer. J. Math. 91(1969), 75-94.
  7. Characters of Hopf algebras, J. Algebra 17(1971), 352-368.
  8. Orders in Hopf algebras, J. Algebra 22(1972), 201-210.
  9. Coseparable Hopf algebras, J. Pure Appl. Algebra 3(1973), 261-267.
  10. A characterization of group rings, Comm. Algebra 1(1974), 65-78.
  11. Efficiency of computation of Cayley tables of 2-groups, J. Assoc. Comp. Mach. 23(1976), 235-241.
  12. Hopf algebra orders determined by group valuations, J. Algebra 38(1976), 414-452.
  13. Minimizing garbage collection as a function of region size, SIAM J. Comput., 6(1977), 663-668.
  14. (with A. O. L. Atkin and L. Hay), Construction of Knut Vik designs, J. Statist. Planning and Inference 1(1977), 289-297.
  15. (with L. Hay), ZLISP: a LISP for a microcomputer, Proc. COMPSAC 79, IEEE Computer Society, 3rd International Computer Software & Applications Conference.
  16. (with A. O. L. Atkin), On a primality test of Solovay and Strassen, SIAM J. Comput. 11 (1982), 789-791.
  17. (with D. E. Haile and M. E. Sweedler), A new invariant for C over R, Amer. J. Math. 105 (1983), 689-814.
  18. (with A. O. L. Atkin and L. Hay), Enumeration and construction of pandiagonal Latin squares of prime order, Comput. Math. Appl. 9 (1983), 267-292.
  19. Cosemisimple Hopf algebras with small simple components are involutory, Comm. Algebra 11 (1983), 1175-1186.
  20. Bubble Sort, Insertion Sort, and Quicksort Compared, Computer Language 1 (1984), 32-35.
  21. SNOBOL4, PC Tech Journal 3 (1984), 32-41.
  22. (with A.L. Jensen), An isomorphism for the Grothendieck ring of a Hopf algebra order, Proc. Amer. Math. Soc. 97 (1986), 197-200.
  23. (with R. L. Grossman), The symbolic computation of higher-order derivations: Symmetries of expressions and actions of group algebras, in M. Luksic, C. Martin, and W. Shadwick, "Differential Geometry: the interface between pure and applied mathematics," Amer. Math. Soc., Providence, 1987, pp. 121-131.
  24. (with D. E. Radford), Semisimple cosemisimple Hopf algebras, Amer. J. Math. 109 (1987), 187-195.
  25. (with D.E. Radford), Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple, J. Algebra 117 (1988), 267-289.
  26. Hopf algebras via symbolic algebra, in Proc. Conf. on Computers in Algebra, M. C. Tangora, Ed., Marcel Dekker, 1988, pp. 91-97.
  27. (with R. L. Grossman), Hopf-algebraic structures of families of trees, J. Algebra 126 (1989), 194-210.
  28. (with R. L. Grossman), Labeled trees and the algebra of differential operators, in Graphs and Algorithms, Amer. Math. Soc., Contemporary Mathematics, Vol. 89, pp. 81-87.
  29. (with R. L. Grossman), Labeled trees and the efficient computation of derivations, in Proceedings of the 1989 Internat. Symposium on Symbolic and Algebraic Computation, ACM, 1989, pp. 74-80.
  30. (with R. L. Grossman), Solving nonlinear equations from higher order derivations in linear stages, Advances in Math., 82 (1990), 180-202.
  31. (with E. J. Taft), The algebraic structure of linearly recursive sequences under Hadamard project, Israel J. Math., 72 (1990), 118-132.
  32. (with R. L. Grossman), Hopf algebraic structure of combinatorial objects and differential operators, Israel J. Math. 72 (1990), 109-117.
  33. (with R. L. Grossman), The realization of input-output maps using bialgebras, Forum Mathematicum 4 (1992) 109-121.
  34. (with R. L. Grossman), The symbolic computation of derivations using labeled trees, J. Symbolic Computation 13 (1992), 511-523.
  35. (with J. Towber), Two dual classes of bialgebras related to the concepts of "quantum group" and "quantum Lie algebra," Comm. Algebra, 19 (1991), 3295-3345.
  36. (with R. L. Grossman), The symbolic computation of vector field expressions, in Proc. of Algebraic Computing in Control '91, G. Jacob and F. Lamnabhi-Lagarrigue eds., Springer-Verlag, Berlin, 1991, 1-10.
  37. (with P. L. Crouch and R. L. Grossman), Computations involving differential operators and their actions on functions, Proc. 1991 International Symposium on Symbolic and Algebraic Computations, ACM, 1991, 301-307.
  38. (with R. L. Grossman), Viewing hybrid systems as products of control systems and automata, Proc. 31st Conf. on Decision and Control, 1992, 2953-2955.
  39. (with R. L. Grossman), Some Remarks About Flows in Hybrid Systems, in R. L. Grossman, A. Nerode, A. P. Ravn, and H. Rischel, editors, Hybrid Systems, Lecture Notes in Computer Science, Vol. 736, Springer-Verlag, New York, 1993, 357-365.
  40. (with D.E. Radford), Semisimple Hopf algebras, J. Algebra, 171 (1995), 5-35.
  41. (with R. L. Grossman), An algebraic approach to hybrid systems, Theoretical Computer Science, 138 (1995), 101-112.
  42. (with W. Chin, I. Musson, J. Towber), The first two terms of the coradical filtration of multiparameter quantum U(gl_n), Comm. Algebra, 24 (1996), 3845-3883.
  43. Topological Hopf algebras and braided monoidal categories, Appl. Categ. Structures, 6 (1998), 139-150.
  44. (with R. L. Grossman) Differential Algebra Structures on Families of Trees Adv. in Applied Math., 35 (2005) 97-119.
  45. (with R. L. Grossman), An Algebraic Approach to Data Mining: Some Examples, Proceedings of the 2002 IEEE International Conference on Data Mining (ICDM 2002), December 2002, Maebashi City, Japan, pp. 613-616.
  46. (with R. L. Grossman) Bialgebras and Realizations, in "Hopf Algebras -- Proceedings from the International Conference on Hopf Algebras at DePaul University" (ed. Jeffrey Bergen, Stefan Catoiu, William Chin), pp. 157-166. Lecture Notes in Pure and Applied Mathematics. 2004, Marcel Dekker, Inc.
  47. (with R. L. Grossman) State space realization theorems for data mining, 12 TeX pages, submitted.
  48. (with G. Lancaster, J. Towber) On the Combinatorics of Carter-Rieger-Saito Movies in the Theory of Smoothly Knotted Surfaces in $\mathbf{R}^4$, Israel Mathematical Conference Proceedings -- July 5-12 Haifa Conference on Quantum Groups, Contemporary Mathematics, Vol. 433, pp. 311-336, Amer. Math. Soc.
  49. (with G. Lancaster, J. Towber) Some combinatorial aspects of movies and movie-moves in the theory of smoothly knotted surfaces in $R^4$, 100 TeX pages, http://arXiv.org/abs/math/0412226
  50. (with R. L. Grossman) An Overview of Hopf Algebras of Trees and Their Actions on Functions, to appear in DART II conference proceedings, 12 TeX pages, http://arXiv.org/abs/0711.3875
  51. (with R. L. Grossman) Hopf Algebras of Trees and Permutations, 10 TeX pages, Comm. Algebra.

Last updated April 27, 2008